All Stories

  1. On the radius of convergence of an efficient high-order iterative method with applications to image processing

    Article • Journal of the Franklin Institute, September 2026, Elsevier

    Professor Santhosh George

  2. Convergence analysis for a class of Ostrowski-type methods using the properties of divided difference operators

    Article • Numerical Algorithms, June 2026, Springer Science + Business Media

    Professor Santhosh George

  3. Contemporary Algorithms: Theory and Applications Volume VI

    Article • January 2026, Nova Science Publishers, Inc.

    Professor Santhosh George

  4. Convergence analysis of a class of iterative methods: a unified approach

    Article • Mathematical Modelling and Analysis, November 2025, Vilnius Gediminas Technical University

    Professor Santhosh George

  5. Local and semilocal analysis of a class of fourth order methods under common set of assumptions

    Article • Applied Mathematics and Computation, November 2025, Elsevier

    Professor Santhosh George

  6. An Improved Convergence Analysis of a Multi-Step Method with High-Efficiency Indices

    Article • Algorithms, August 2025, MDPI AG

    Professor Santhosh George

  7. Convergence Analysis of Jarratt-like Methods for Solving Nonlinear Equations for Thrice-Differentiable Operators

    Article • AppliedMath, April 2025, MDPI AG

    Professor Santhosh George

  8. Majorizing Sequences for Newton-Like Method and Their Limit Points

    Article • European Journal of Mathematical Analysis, April 2025, SCIK Publishing Corporation

    Professor Santhosh George

  9. Jarratt-type methods and their convergence analysis without using Taylor expansion

    Article • Applied Mathematics and Computation, February 2025, Elsevier

    Professor Santhosh George

  10. Extended Newton's method for solving generalized equations under Kantorovich's-type weak conditions

    Article • Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica, January 2025, Eotvos Lorand University (ELTE)

    Professor Santhosh George

  11. Contemporary Algorithms: Theory and Applications. Volume V

    Article • January 2025, Nova Science Publishers, Inc.

    Professor Santhosh George

  12. Convergence Order of a Class of Jarratt-like Methods: A New Approach

    Article • Symmetry, December 2024, MDPI AG

    Professor Santhosh George

  13. Hybrid Chebyshev-Type Methods for Solving Nonlinear Equations

    Article • Mathematics, December 2024, MDPI AG

    Professor Santhosh George

  14. Extended convergence of two-step iterative methods for solving equations with applications

    Article • Journal of Numerical Analysis and Approximation Theory, December 2024, Academia Romana Filiala Cluj

    Professor Santhosh George

  15. An algorithm with feasible inexact projections for solving constrained generalized equations

    Article • Mathematical Methods in the Applied Sciences, November 2024, Wiley

    Professor Santhosh George

  16. On the Implementation of Iterative Methods Without Inverse Updating for Solving Equations in Banach Spaces

    Article • International Journal of Computational Methods, October 2024, World Scientific Pub Co Pte Lt

    Professor Santhosh George

  17. On Extending the Applicability of Iterative Methods for Solving Systems of Nonlinear Equations

    Article • Axioms, September 2024, MDPI AG

    Professor Santhosh George

  18. Enhancing the applicability of Chebyshev-like method

    Article • Journal of Complexity, August 2024, Elsevier

    Professor Santhosh George

  19. New Trends in Applying LRM to Nonlinear Ill-Posed Equations

    Article • Mathematics, July 2024, MDPI AG

    Professor Santhosh George

  20. Local convergence of a two-step Gauss-Newton Werner-type method for solving least squares problems

    Article • Journal of Numerical Analysis and Approximation Theory, July 2024, Academia Romana Filiala Cluj

    Professor Santhosh George

  21. On the Kantorovich Theory for Nonsingular and Singular Equations

    Article • Axioms, May 2024, MDPI AG

    Professor Santhosh George

  22. On obtaining order of convergence of Jarratt-like method without using Taylor series expansion

    Article • Computational and Applied Mathematics, May 2024, Springer Science + Business Media

    Professor Santhosh George

  23. Ball convergence of derivative free iterative methods with or without memory using weight operator technique

    Article • Proyecciones (Antofagasta), May 2024, Universidad Catolica del Norte - Chile

    Professor Santhosh George

  24. Parameter Choice Strategy That Computes Regularization Parameter before Computing the Regularized Solution

    Article • Modelling—International Open Access Journal of Modelling in Engineering Science, May 2024, MDPI AG

    Professor Santhosh George

  25. Hybrid Newton-like Inverse Free Algorithms for Solving Nonlinear Equations

    Article • Algorithms, April 2024, MDPI AG

    Professor Santhosh George

  26. Asymptotically Newton-Type Methods without Inverses for Solving Equations

    Article • Mathematics, April 2024, MDPI AG

    Professor Santhosh George

  27. On a unified convergence analysis for Newton-type methods solving generalized equations with the Aubin property

    Article • Journal of Complexity, April 2024, Elsevier

    Professor Santhosh George

  28. On the complexity of extending the convergence domain of Newton’s method under the weak majorant condition

    Article • Canadian Mathematical Bulletin, March 2024, Canadian Mathematical Society

    Professor Santhosh George

  29. Convergence of High-Order Derivative-Free Algorithms for the Iterative Solution of Systems of Not Necessarily Differentiable Equations

    Article • Mathematics, February 2024, MDPI AG

    Professor Santhosh George

  30. A class of derivative free schemes for solving nondifferentiable Banach space valued equations

    Article • The Journal of Analysis, February 2024, Springer Science + Business Media

    Professor Santhosh George

  31. A self-attention driven retinex-based deep image prior model for satellite image restoration

    Article • Optics and Lasers in Engineering, February 2024, Elsevier

    Professor Santhosh George

  32. A weighted nuclear norm (WNN)-based retinex DIP framework for restoring aerial and satellite images corrupted by gamma distributed speckle noise

    Article • Multimedia Tools and Applications, October 2023, Springer Science + Business Media

    Professor Santhosh George

  33. Convergence of Derivative-Free Iterative Methods with or without Memory in Banach Space

    Article • Foundations, September 2023, MDPI AG

    Professor Santhosh George

  34. Ball Convergence of Iterative Methods without Derivatives with or without Memory Relying on the Weight Operator Technique

    Article • September 2023, Taylor & Francis

    Professor Santhosh George

  35. Extended convergence for two-step methods with non-differentiable parts in Banach spaces

    Article • The Journal of Analysis, September 2023, Springer Science + Business Media

    Professor Santhosh George

  36. Enhancing the practicality of Newton–Cotes iterative method

    Article • Korean Journal of Computational & Applied Mathematics, June 2023, Springer Science + Business Media

    Professor Santhosh George

  37. Finite dimensional realization of a parameter choice strategy for fractional Tikhonov regularization method in Hilbert scales

    Article • Hacettepe Journal of Mathematics and Statistics, May 2023, Hacettepe Journal of Biology and Chemistry

    Professor Santhosh George

  38. On the convergence of open Newton’s method

    Article • The Journal of Analysis, April 2023, Springer Science + Business Media

    Professor Santhosh George

  39. On the Order of Convergence and the Dynamics of Werner-King's Method

    Article • Contemporary Mathematics, March 2023, Universal Wiser Publisher Pte. Ltd

    Professor Santhosh George

  40. Order of Convergence and Dynamics of Newton–Gauss-Type Methods

    Article • Fractal and Fractional, February 2023, MDPI AG

    Professor Santhosh George

  41. Extended Kantorovich theory for solving nonlinear equations with applications

    Article • Computational and Applied Mathematics, February 2023, Springer Science + Business Media

    Professor Santhosh George

  42. Order of Convergence, Extensions of Newton–Simpson Method for Solving Nonlinear Equations and Their Dynamics

    Article • Fractal and Fractional, February 2023, MDPI AG

    Professor Santhosh George

  43. Local Convergence of Traub’s Method and Its Extensions

    Article • Fractal and Fractional, January 2023, MDPI AG

    Professor Santhosh George

  44. Extended Semilocal Convergence for Chebyshev-Halley-Type Schemes for Solving Nonlinear Equations under Weak Conditions

    Article • Contemporary Mathematics, January 2023, Universal Wiser Publisher Pte. Ltd

    Professor Santhosh George

  45. Finite dimensional realization of the FTR method with Raus and Gfrerer type discrepancy principle

    Article • Rendiconti del Circolo Matematico di Palermo Series 2, January 2023, Springer Science + Business Media

    Professor Santhosh George

  46. On the Order of Convergence of the Noor–Waseem Method

    Article • Mathematics, December 2022, MDPI AG

    Professor Santhosh George

  47. On the complexity of convergence for high order iterative methods

    Article • Journal of Complexity, December 2022, Elsevier

    Professor Santhosh George

  48. Extending the Applicability of Cordero Type Iterative Method

    Article • Symmetry, November 2022, MDPI AG

    Professor Santhosh George

  49. Restoration and Enhancement of Aerial and Synthetic Aperture Radar Images Using Generative Deep Image Prior Architecture

    Article • PFG – Journal of Photogrammetry Remote Sensing and Geoinformation Science, November 2022, Springer Science + Business Media

    Professor Santhosh George

  50. Projection method for Fractional Lavrentiev Regularisation method in Hilbert scales

    Article • The Journal of Analysis, October 2022, Springer Science + Business Media

    Professor Santhosh George

  51. Kantorovich-type results for generalized equations with applications

    Article • The Journal of Analysis, October 2022, Springer Science + Business Media

    Professor Santhosh George

  52. An extended radius of convergence comparison between two sixth order methods under general continuity for solving equations

    Article • Advances in the Theory of Nonlinear Analysis and its Application, September 2022, Advances in the Theory of Nonlinear Analysis and its Application

    Professor Santhosh George

  53. A New Parameter Choice Strategy for Lavrentiev Regularization Method for Nonlinear Ill-Posed Equations

    Article • Mathematics, September 2022, MDPI AG

    Professor Santhosh George

  54. An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method

    Article • Korean Journal of Computational & Applied Mathematics, September 2022, Springer Science + Business Media

    Professor Santhosh George

  55. On the convergence of Homeier method and its extensions

    Article • The Journal of Analysis, July 2022, Springer Science + Business Media

    Professor Santhosh George

  56. Approximating Solutions of Nonlinear Equations Using an Extended Traub Method

    Article • Foundations, July 2022, MDPI AG

    Professor Santhosh George

  57. Generalized Three-Step Numerical Methods for Solving Equations in Banach Spaces

    Article • Mathematics, July 2022, MDPI AG

    Professor Santhosh George

  58. Extended Convergence of Three Step Iterative Methods for Solving Equations in Banach Space with Applications

    Article • Symmetry, July 2022, MDPI AG

    Professor Santhosh George

  59. Numerical Processes for Approximating Solutions of Nonlinear Equations

    Article • Axioms, June 2022, MDPI AG

    Professor Santhosh George

  60. Extended Newton–Kantorovich Theorem for Solving Nonlinear Equations

    Article • Foundations, June 2022, MDPI AG

    Professor Santhosh George

  61. Extending the Traub Theory for Solving Nonlinear Equations

    Article • Contemporary Mathematics, June 2022, Universal Wiser Publisher Pte. Ltd

    Professor Santhosh George

  62. A Comparison Study of the Classical and Modern Results of Semi-Local Convergence of Newton–Kantorovich Iterations-II

    Article • Mathematics, May 2022, MDPI AG

    Professor Santhosh George

  63. Extending King’s Method for Finding Solutions of Equations

    Article • Foundations, April 2022, MDPI AG

    Professor Santhosh George

  64. A Comparison Study of the Classical and Modern Results of Semi-Local Convergence of Newton-Kantorovich Iterations

    Article • Mathematics, April 2022, MDPI AG

    Professor Santhosh George

  65. Local convergence analysis of two iterative methods

    Article • The Journal of Analysis, March 2022, Springer Science + Business Media

    Professor Santhosh George

  66. On a novel seventh convergence order method for solving nonlinear equations and its extensions

    Article • Asian-European Journal of Mathematics, January 2022, World Scientific Pub Co Pte Lt

    Professor Santhosh George

  67. On the Semi-Local Convergence of a Traub-Type Method for Solving Equations

    Article • Foundations, January 2022, MDPI AG

    Professor Santhosh George

  68. On the convergence of a novel seventh convergence order schemes for solving equations

    Article • The Journal of Analysis, January 2022, Springer Science + Business Media

    Professor Santhosh George

  69. Secant-type iteration for nonlinear ill-posed equations in Banach space

    Article • Journal of Inverse and Ill-Posed Problems, January 2022, De Gruyter

    Professor Santhosh George

  70. Extended local convergence for Newton-type solver under weak conditions

    Article • Studia Universitatis Babes-Bolyai Mathematica, December 2021, Babes-Bolyai University

    Professor Santhosh George

  71. Convergence Criteria of Three Step Schemes for Solving Equations

    Article • Mathematics, December 2021, MDPI AG

    Professor Santhosh George

  72. On the Semi-Local Convergence of an Ostrowski-Type Method for Solving Equations

    Article • Symmetry, December 2021, MDPI AG

    Professor Santhosh George

  73. Extended Kung–Traub Methods for Solving Equations with Applications

    Article • Mathematics, October 2021, MDPI AG

    Professor Santhosh George

  74. Ball analysis for an efficient sixth convergence order scheme under weaker conditions

    Article • Advances in the Theory of Nonlinear Analysis and its Application, September 2021, Advances in the Theory of Nonlinear Analysis and its Application

    Professor Santhosh George

  75. Extending the Convergence of Two Similar Sixth Order Schemes for Solving Equations under Generalized Conditions

    Article • Contemporary Mathematics, August 2021, Universal Wiser Publisher Pte. Ltd

    Professor Santhosh George

  76. Ball Convergence of a Parametric Efficient Family of Iterative Methods for Solving Nonlinear Equations

    Article • Foundations, June 2021, MDPI AG

    Professor Santhosh George

  77. Semi-local convergence of a derivative-free method for solving equations

    Article • Issues of Analysis, June 2021, Petrozavodsk State University

    Professor Santhosh George

  78. Fractional Tikhonov regularization method in Hilbert scales

    Article • Applied Mathematics and Computation, March 2021, Elsevier

    Professor Santhosh George

  79. Local comparison between two-step methods under the same conditions

    Article • Afrika Matematika, February 2021, Springer Science + Business Media

    Professor Santhosh George

  80. Convergence Analysis of a Fifth-Order Iterative Method Using Recurrence Relations and Conditions on the First Derivative

    Article • Mediterranean Journal of Mathematics, February 2021, Springer Science + Business Media

    Professor Santhosh George

  81. Ball Comparison Between Four Fourth Convergence Order Methods Under the Same Set of Hypotheses for Solving Equations

    Article • International Journal of Applied and Computational Mathematics, January 2021, Springer Science + Business Media

    Professor Santhosh George

  82. Extending the applicability of Newton's and Secant methods under regular smoothness

    Article • Boletim da Sociedade Paranaense de Matemática, January 2021, Sociedade Paranaense de Matematica

    Professor Santhosh George

  83. Extended domain for fifth convergence order schemes

    Article • Cubo (Temuco), January 2021, Universidad de La Frontera

    Professor Santhosh George

  84. Extended Local Convergence for High Order Schemes Under ω-Continuity Conditions

    Article • Contemporary Mathematics, December 2020, Universal Wiser Publisher Pte. Ltd

    Professor Santhosh George

  85. Extending the Convexity of Nonlinear Image of a Ball Appearing in Optimization

    Article • Contemporary Mathematics, August 2020, Universal Wiser Publisher Pte. Ltd

    Professor Santhosh George

  86. On the Solution of Equations by Extended Discretization

    Article • Computation, July 2020, MDPI AG

    Professor Santhosh George

  87. Extending the Applicability of Newton’s Algorithm with Projections for Solving Generalized Equations

    Article • Applied System Innovation, July 2020, MDPI AG

    Professor Santhosh George

  88. Direct Comparison between Two Third Convergence Order Schemes for Solving Equations

    Article • Symmetry, July 2020, MDPI AG

    Professor Santhosh George

  89. Ball convergence of a novel bi-parametric iterative scheme for solving equations

    Article • Malaya Journal of Matematik, July 2020, Malaya Journal of Matematik

    Professor Santhosh George

  90. On an iterative method without inverses of derivatives for solving equations

    Article • Advances in the Theory of Nonlinear Analysis and its Application, June 2020, Advances in the Theory of Nonlinear Analysis and its Application

    Professor Santhosh George

  91. Local Comparison between Two Ninth Convergence Order Algorithms for Equations

    Article • Algorithms, June 2020, MDPI AG

    Professor Santhosh George

  92. High Convergence Order Q-Step Methods for Solving Equations and Systems of Equations

    Article • Contemporary Mathematics, May 2020, Universal Wiser Publisher Pte. Ltd

    Professor Santhosh George

  93. Extended Convergence of a Two-Step-Secant-Type Method Under a Restricted Convergence Domain

    Article • Kragujevac Journal of Mathematics, March 2020, University Library in Kragujevac

    Professor Santhosh George

  94. Local comparison of two sixth order solvers using only the first derivative

    Article • Advances in the Theory of Nonlinear Analysis and its Application, December 2019, Advances in the Theory of Nonlinear Analysis and its Application

    Professor Santhosh George

  95. Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates

    Article • Korean Journal of Computational & Applied Mathematics, December 2019, Springer Science + Business Media

    Professor Santhosh George

  96. Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions

    Article • Acta Mathematica Scientia, December 2019, Springer Science + Business Media

    Professor Santhosh George

  97. Local convergence comparison between two novel sixth order methods for solving equations

    Article • Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, December 2019, De Gruyter

    Professor Santhosh George, Ioannis Argyros

  98. Improved semi-local convergence of the Newton-HSS method for solving large systems of equations

    Article • Applied Mathematics Letters, December 2019, Elsevier

    Professor Santhosh George

  99. Extending the applicability of high-order iterative schemes under Kantorovich hypotheses and restricted convergence regions

    Article • Rendiconti del Circolo Matematico di Palermo Series 2, October 2019, Springer Science + Business Media

    Professor Santhosh George

  100. Local convergence analysis of a modified Newton-Jarratt's composition under weak conditions

    Article • Commentationes Mathematicae Universitatis Carolinae, October 2019, Charles University in Prague, Karolinum Press

    Professor Santhosh George

  101. Ball comparison for three optimal eight order methods under weak conditions

    Article • Studia Universitatis Babes-Bolyai Mathematica, September 2019, Babes-Bolyai University

    Professor Santhosh George

  102. Extending the Applicability of the Super-Halley-Like Method Using ω-Continuous Derivatives and Restricted Convergence Domains

    Article • Annales Mathematicae Silesianae, September 2019, De Gruyter

    Ioannis Argyros, Professor Santhosh George

  103. Extended Convergence Analysis of the Newton–Hermitian and Skew–Hermitian Splitting Method

    Article • Symmetry, August 2019, MDPI AG

    Professor Santhosh George

  104. Convergence analysis for single point Newton-type iterative schemes

    Article • Korean Journal of Computational & Applied Mathematics, July 2019, Springer Science + Business Media

    Professor Santhosh George

  105. On the complexity of extending the convergence region for Traub’s method

    Article • Journal of Complexity, July 2019, Elsevier

    Professor Santhosh George

  106. Extending the Applicability of a Newton-Kurchatov-Type Method for Solving Non-Differentiable Equations in Banach Spaces

    Article • Communications in Advanced Mathematical Sciences, June 2019, Communications in Advanced Mathematical Sciences

    Professor Santhosh George

  107. Extended Semi-Local Convergence of Newton's Method using the Center Lipschitz Condition and the Restricted Convergence Domain

    Article • Fundamental Journal of Mathematics and Applications, June 2019, Fundamental Journal of Mathematics and Applications

    Professor Santhosh George

  108. Newton–Kantorovich regularization method for nonlinear ill-posed equations involving $$m-$$accretive operators in Banach spaces

    Article • Rendiconti del Circolo Matematico di Palermo Series 2, March 2019, Springer Science + Business Media

    Professor Santhosh George

  109. Expanding the applicability of an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, March 2019, Springer Science + Business Media

    Professor Santhosh George

  110. Extending the applicability of the inexact Newton-HSS method for solving large systems of nonlinear equations

    Article • Numerical Algorithms, March 2019, Springer Science + Business Media

    Professor Santhosh George

  111. Unified Convergence for Multi-Point Super Halley-Type Methods with Parameters in Banach Space

    Article • Indian Journal of Pure and Applied Mathematics, March 2019, Springer Science + Business Media

    Professor Santhosh George

  112. Third-order derivative-free methods in Banach spaces for nonlinear ill-posed equations

    Article • Korean Journal of Computational & Applied Mathematics, February 2019, Springer Science + Business Media

    Professor Santhosh George

  113. Unified convergence analysis of frozen Newton-like methods under generalized conditions

    Article • Journal of Computational and Applied Mathematics, February 2019, Elsevier

    Professor Santhosh George

  114. Local convergence for an eighth order method for solving equations and systems of equations

    Article • Nonlinear Engineering, January 2019, De Gruyter

    Professor Santhosh George, Ioannis Argyros

  115. Local convergence of an at least sixth-order method in Banach spaces

    Article • Journal of Fixed Point Theory and Applications, January 2019, Springer Science + Business Media

    Professor Santhosh George

  116. Kantorovich-Like Convergence Theorems for Newton’s Method Using Restricted Convergence Domains

    Article • Numerical Functional Analysis and Optimization, January 2019, Taylor & Francis

    Professor Santhosh George, Ioannis Argyros

  117. On a Two-Step Kurchatov-Type Method in Banach Space

    Article • Mediterranean Journal of Mathematics, January 2019, Springer Science + Business Media

    Professor Santhosh George

  118. Extensions of Kantorovich-type theorems for Newton’s method

    Article • Applicationes Mathematicae, January 2019, Institute of Mathematics, Polish Academy of Sciences

    Professor Santhosh George

  119. Two-point methods for solving equations and systems of equations

    Article • Applicationes Mathematicae, January 2019, Institute of Mathematics, Polish Academy of Sciences

    Professor Santhosh George

  120. Expanding the applicability of an iterative regularization method for ill-posed problems

    Article • Journal of Nonlinear and Variational Analysis, January 2019, Mathematical Research Press

    Professor Santhosh George

  121. On the Influence of Center-Lipschitz Conditions in the Convergence Analysis of Multi-Point Iterative Methods

    Article • December 2018, MDPI AG

    Professor Santhosh George

  122. Extended Newton-type iteration for nonlinear ill-posed equations in Banach space

    Article • Korean Journal of Computational & Applied Mathematics, November 2018, Springer Science + Business Media

    Professor Santhosh George

  123. Unified Semi-Local Convergence for k—Step Iterative Methods with Flexible and Frozen Linear Operator

    Article • Mathematics, October 2018, MDPI AG

    Professor Santhosh George

  124. Local convergence for composite Chebyshev-type methods

    Article • Communications in Advanced Mathematical Sciences, September 2018, Communications in Advanced Mathematical Sciences

    Professor Santhosh George

  125. Derivative Free Regularization Method for Nonlinear Ill-Posed Equations in Hilbert Scales

    Article • Computational Methods in Applied Mathematics, July 2018, De Gruyter

    Professor Santhosh George, kanagaraj K.

  126. Local Convergence Analysis of an Efficient Fourth Order Weighted-Newton Method under Weak Conditions

    Article • Annals of West University of Timisoara - Mathematics and Computer Science, July 2018, De Gruyter

    Ioannis Argyros, Professor Santhosh George

  127. On the complexity of choosing majorizing sequences for iterative procedures

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, June 2018, Springer Science + Business Media

    Professor Santhosh George

  128. Enlarging the Ball Convergence for the Modified Newton Method to Solve Equation with Solutions of Multiplicity Under Weak Conditions

    Article • Numerical Mathematics Theory Methods and Applications, June 2018, Global Science Press

    Professor Santhosh George

  129. Local Convergence for a Fifth Order Traub-Steffensen-Chebyshev-Like Composition Free of Derivatives in Banach Space

    Article • Numerical Mathematics Theory Methods and Applications, June 2018, Global Science Press

    Professor Santhosh George

  130. A Unified Local Convergence for Two-Step Newton-Type Methods with High Order of Convergence under Weak Conditions

    Article • Sohag Journal of Mathematics, May 2018, Natural Sciences Publishing

    Professor Santhosh George

  131. Local convergence for a Chebyshev-type method in Banach space free of derivatives

    Article • Advances in the Theory of Nonlinear Analysis and its Application, March 2018, Advances in the Theory of Nonlinear Analysis and its Application

    Professor Santhosh George

  132. Numerical approximation of a Tikhonov type regularizer by a discretized frozen steepest descent method

    Article • Journal of Computational and Applied Mathematics, March 2018, Elsevier

    Professor Santhosh George

  133. Lavrentiev's regularization method for nonlinear ill-posed equations in Banach spaces

    Article • Acta Mathematica Scientia, January 2018, Elsevier

    Professor Santhosh George

  134. Increasing the order of convergence for iterative methods in Banach space under weak conditions

    Article • Malaya Journal of Matematik, January 2018, Malaya Journal of Matematik

    Professor Santhosh George

  135. Extended local convergence analysis of inexact Gauss-Newton method for singular systems of equations under weak conditions

    Article • Studia Universitatis Babes-Bolyai Mathematica, December 2017, Babes-Bolyai University

    Professor Santhosh George

  136. Convergence of a Tikhonov Gradient Type-Method for Nonlinear Ill-Posed Equations

    Article • International Journal of Applied and Computational Mathematics, September 2017, Springer Science + Business Media

    Professor Santhosh George

  137. On the Convergence of Stirling’s Method for Fixed Points Under Not Necessarily Contractive Hypotheses

    Article • International Journal of Applied and Computational Mathematics, August 2017, Springer Science + Business Media

    Professor Santhosh George

  138. Modified Minimal Error Method for Nonlinear Ill-Posed Problems

    Article • Computational Methods in Applied Mathematics, July 2017, De Gruyter

    Professor Santhosh George, Sabari M

  139. Ball convergence of some iterative methods for nonlinear equations in Banach space under weak conditions

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, July 2017, Springer Science + Business Media

    Professor Santhosh George

  140. Local convergence of a fifth convergence order method in Banach space

    Article • Arab Journal of Mathematical Sciences, July 2017, Elsevier

    Professor Santhosh George

  141. Local convergence of deformed Euler–Halley-type methods in Banach space under weak conditions

    Article • Asian-European Journal of Mathematics, June 2017, World Scientific Pub Co Pte Lt

    Professor Santhosh George

  142. Local convergence for an almost sixth order method for solving equations under weak conditions

    Article • SeMA Journal, May 2017, Springer Science + Business Media

    Professor Santhosh George

  143. Local results for an iterative method of convergence order six and efficiency index 1.8171

    Article • Novi Sad Journal of Mathematics, April 2017, Faculty of Sciences, University of Novi Sad

    Professor Santhosh George

  144. LOCAL CONVERGENCE OF JARRATT-TYPE METHODS WITH LESS COMPUTATION OF INVERSION UNDER WEAK CONDITIONS

    Article • Mathematical Modelling and Analysis, March 2017, Vilnius Gediminas Technical University

    Professor Santhosh George

  145. Convergence rate results for steepest descent type method for nonlinear ill-posed equations

    Article • Applied Mathematics and Computation, February 2017, Elsevier

    Professor Santhosh George

  146. A derivative-free iterative method for nonlinear ill-posed equations with monotone operators

    Article • Journal of Inverse and Ill-Posed Problems, January 2017, De Gruyter

    Professor Santhosh George

  147. Expanding the applicability of inexact Newton methods using restricted convergence domains

    Article • Applicationes Mathematicae, January 2017, Institute of Mathematics, Polish Academy of Sciences

    Professor Santhosh George

  148. Ball convergence theorem for a Steffensen-type third-order method

    Article • Revista Colombiana de Matemáticas, January 2017, Universidad Nacional de Colombia

    Professor Santhosh George

  149. Local Convergence for a Frozen Family of Steffensen-Like Methods under Weak Conditions

    Article • Research in Applied Mathematics, January 2017, Agial Publishing House

    Professor Santhosh George

  150. Local convergence of a multi-step high order method with divided differences under hypotheses on the first derivative

    Article • Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, January 2017, De Gruyter

    Professor Santhosh George, Ioannis Argyros

  151. Local convergence of a fast Steffensen-type method on Banach space under weak conditions

    Article • International Journal of Computing Science and Mathematics, January 2017, Inderscience Publishers

    Professor Santhosh George

  152. Local convergence of a fast Steffensen-type method on Banach space under weak conditions

    Article • International Journal of Computing Science and Mathematics, January 2017, Inderscience Publishers

    Professor Santhosh George

  153. On the convergence of Broyden’s method with regularity continuous divided differences and restricted convergence domains

    Article • Journal of Nonlinear Functional Analysis, January 2017, Mathematical Research Press

    Professor Santhosh George

  154. Expanding the Applicability of the Kantorovich’s Theorem for Solving Generalized Equations Using Newton’s Method

    Article • International Journal of Applied and Computational Mathematics, December 2016, Springer Science + Business Media

    Professor Santhosh George

  155. Ball convergence for an eighth order efficient method under weak conditions in Banach spaces

    Article • SeMA Journal, November 2016, Springer Science + Business Media

    Professor Santhosh George

  156. On the convergence of Newton-like methods using restricted domains

    Article • Numerical Algorithms, September 2016, Springer Science + Business Media

    Professor Santhosh George

  157. Cubic convergence order yielding iterative regularization methods for ill-posed Hammerstein type operator equations

    Article • Rendiconti del Circolo Matematico di Palermo Series 2, August 2016, Springer Science + Business Media

    Professor Santhosh George

  158. Unified convergence domains of Newton-like methods for solving operator equations

    Article • Applied Mathematics and Computation, August 2016, Elsevier

    Professor Santhosh George

  159. LOCAL CONVERGENCE FOR SOME THIRD-ORDER ITERATIVE METHODS UNDER WEAK CONDITIONS

    Article • Journal of the Korean Mathematical Society, July 2016, The Korean Mathematical Society

    Professor Santhosh George

  160. Ball convergence of some fourth and sixth-order iterative methods

    Article • Asian-European Journal of Mathematics, June 2016, World Scientific Pub Co Pte Lt

    Professor Santhosh George

  161. Local convergence of deformed Halley method in Banach space under Holder continuity conditions

    Article • The Journal of Nonlinear Sciences and Applications, May 2016, International Scientific Research Publications MY SDN. BHD.

    Professor Santhosh George

  162. On a result by Dennis and Schnabel for Newton’s method: Further improvements

    Article • Applied Mathematics Letters, May 2016, Elsevier

    Professor Santhosh George

  163. Finite dimensional realization of a Tikhonov gradient type-method under weak conditions

    Article • Rendiconti del Circolo Matematico di Palermo Series 2, March 2016, Springer Science + Business Media

    Professor Santhosh George

  164. Ball convergence of a novel Newton-Traub composition for solving equations

    Article • Cogent Mathematics, March 2016, Taylor & Francis

    Professor Santhosh George

  165. Local convergence of deformed Jarratt-type methods in Banach space without inverses

    Article • Asian-European Journal of Mathematics, March 2016, World Scientific Pub Co Pte Lt

    Professor Santhosh George

  166. Extending the applicability of the Gauss–Newton method for convex composite optimization using restricted convergence domains and average Lipschitz conditions

    Article • SeMA Journal, February 2016, Springer Science + Business Media

    Professor Santhosh George

  167. Local convergence for a family of iterative methods based on decomposition techniques

    Article • Applicationes Mathematicae, January 2016, Institute of Mathematics, Polish Academy of Sciences

    Professor Santhosh George

  168. Finite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators

    Article • Applied Mathematics and Computation, January 2016, Elsevier

    Professor Santhosh George

  169. Extended Local Analysis of Inexact Gauss-Newton-like Method for Least Square Problems using Restricted Convergence Domains

    Article • Annals of West University of Timisoara - Mathematics and Computer Science, January 2016, De Gruyter

    Professor Santhosh George, Ioannis Argyros

  170. Local convergence for a derivative free method of order three under weak conditions

    Article • International Journal of Convergence Computing, January 2016, Inderscience Publishers

    Professor Santhosh George

  171. Local convergence for a derivative free method of order three under weak conditions

    Article • International Journal of Convergence Computing, January 2016, Inderscience Publishers

    Professor Santhosh George

  172. Convergence Analysis of a Three Step Newton-like Method for Nonlinear Equations in Banach Space under Weak Conditions

    Article • Annals of West University of Timisoara - Mathematics and Computer Science, January 2016, De Gruyter

    Professor Santhosh George, Ioannis Argyros

  173. Ball convergence for a third order method based on Newton's method and the Adomian decomposition method

    Article • International Journal of Convergence Computing, January 2016, Inderscience Publishers

    Professor Santhosh George

  174. Ball convergence for a third order method based on Newton's method and the Adomian decomposition method

    Article • International Journal of Convergence Computing, January 2016, Inderscience Publishers

    Professor Santhosh George

  175. Ball Convergence for Second Derivative Free Methods in Banach Space

    Article • International Journal of Applied and Computational Mathematics, December 2015, Springer Science + Business Media

    Professor Santhosh George

  176. Local convergence of modified Halley-like methods

    Article • Novi Sad Journal of Mathematics, December 2015, Faculty of Sciences, University of Novi Sad

    Professor Santhosh George

  177. Ball Convergence for Higher Order Methods under Weak Conditions

    Article • Journal of Mathematical Study, December 2015, Global Science Press

    Professor Santhosh George

  178. On a sixth-order Jarratt-type method in Banach spaces

    Article • Asian-European Journal of Mathematics, December 2015, World Scientific Pub Co Pte Lt

    Professor Santhosh George

  179. Ball convergence of a sixth order iterative method with one parameter for solving equations under weak conditions

    Article • CALCOLO, November 2015, Springer Science + Business Media

    Professor Santhosh George

  180. Improved local convergence for Euler–Halley-like methods with a parameter

    Article • Rendiconti del Circolo Matematico di Palermo Series 2, November 2015, Springer Science + Business Media

    Professor Santhosh George

  181. Iterative regularization methods for nonlinear ill-posed operator equations with m-accretive mappings in banach spaces

    Article • Acta Mathematica Scientia, November 2015, Elsevier

    Professor Santhosh George

  182. Ball Convergence for an Inverse Free Jarratt-Type Method Under Hölder Conditions

    Article • International Journal of Applied and Computational Mathematics, September 2015, Springer Science + Business Media

    Professor Santhosh George

  183. Ball convergence comparison between three iterative methods in Banach space under hypothese only on the first derivative

    Article • Applied Mathematics and Computation, September 2015, Elsevier

    Professor Santhosh George

  184. Ball convergence theorems for Maheshwari-type eighth-order methods under weak conditions

    Article • São Paulo Journal of Mathematical Sciences, August 2015, Springer Science + Business Media

    Professor Santhosh George

  185. Local convergence for some high convergence order Newton-like methods with frozen derivatives

    Article • SeMA Journal, July 2015, Springer Science + Business Media

    Professor Santhosh George

  186. Local Convergence for an Efficient Eighth Order Iterative Method with a Parameter for Solving Equations Under Weak Conditions

    Article • International Journal of Applied and Computational Mathematics, July 2015, Springer Science + Business Media

    Professor Santhosh George

  187. Local convergence for multi-point-parametric Chebyshev–Halley-type methods of high convergence order

    Article • Journal of Computational and Applied Mathematics, July 2015, Elsevier

    Professor Santhosh George

  188. Ball comparison between two optimal eight-order methods under weak conditions

    Article • SeMA Journal, May 2015, Springer Science + Business Media

    Professor Santhosh George

  189. Local convergence for deformed Chebyshev-type method in Banach space under weak conditions

    Article • Cogent Mathematics, April 2015, Taylor & Francis

    Professor Santhosh George

  190. Ball convergence theorems for eighth-order variants of Newton’s method under weak conditions

    Article • Arabian Journal of Mathematics, April 2015, Springer Science + Business Media

    Professor Santhosh George

  191. Enlarging the convergence ball of the method of parabola for finding zero of derivatives

    Article • Applied Mathematics and Computation, April 2015, Elsevier

    Professor Santhosh George

  192. A quadratic convergence yielding iterative method for the implementation of Lavrentiev regularization method for ill-posed equations

    Article • Applied Mathematics and Computation, March 2015, Elsevier

    Professor Santhosh George

  193. THE CONVERGENCE BALL OF INEXACT NEWTON-LIKE METHOD IN BANACH SPACE UNDER WEAK LIPSHITZ CONDITION

    Article • Journal of the Chungcheng Mathematical Society, February 2015, Chungcheong Mathematical Society

    Professor Santhosh George

  194. Local Convergence for a Regula Falsi-Type Method under Weak Convergence

    Article • Journal of Applied & Computational Mathematics, January 2015, OMICS Publishing Group

    Professor Santhosh George

  195. Ball Convergence for Steffensen-type Fourth-order Methods

    Article • International Journal of Interactive Multimedia and Artificial Intelligence, January 2015, IMAI Software - International Journal of Interactive Multimedia and Artificial Intelligence

    Professor Santhosh George

  196. Improved local convergence analysis of inexact Newton-like methods under the majorant condition

    Article • Applicationes Mathematicae, January 2015, Institute of Mathematics, Polish Academy of Sciences

    Professor Santhosh George

  197. Local convergence for a multi-point family of super-Halley methods in a Banach space under weak conditions

    Article • Applicationes Mathematicae, January 2015, Institute of Mathematics, Polish Academy of Sciences

    Professor Santhosh George

  198. EXPANDING THE CONVERGENCE DOMAIN FOR CHUN-STANICA-NETA FAMILY OF THIRD ORDER METHODS IN BANACH SPACES

    Article • Journal of the Korean Mathematical Society, January 2015, The Korean Mathematical Society

    Professor Santhosh George

  199. Ball convergence for Traub-Steffensen like methods in Banach space

    Article • Annals of West University of Timisoara - Mathematics and Computer Science, January 2015, De Gruyter

    Professor Santhosh George, Ioannis Argyros

  200. Expanding the applicability of a Two Step Newton-type projection method for ill-posed problems

    Article • Functiones et Approximatio Commentarii Mathematici, September 2014, Adam Mickiewicz University (Euclid)

    Professor Santhosh George

  201. A derivative free iterative method for the implementation of Lavrentiev regularization method for ill-posed equations

    Article • Numerical Algorithms, March 2014, Springer Science + Business Media

    Professor Santhosh George

  202. A two step newton type iteration for ill-posed Hammerstein type operator equations in Hilbert scales

    Article • Journal of Integral Equations and Applications, March 2014, Rocky Mountain Mathematics Consortium

    Professor Santhosh George

  203. ON THE SEMILOCAL CONVERGENCE OF NEWTON'S METHOD FOR SECTIONS ON RIEMANNIAN MANIFOLDS

    Article • Asian-European Journal of Mathematics, March 2014, World Scientific Pub Co Pte Lt

    Professor Santhosh George

  204. An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems

    Article • Applied Mathematics and Computation, March 2014, Elsevier

    Professor Santhosh George

  205. ON THE "TERRA INCOGNITA" FOR THE NEWTON-KANTROVICH METHOD WITH APPLICATIONS

    Article • Journal of the Korean Mathematical Society, March 2014, The Korean Mathematical Society

    Professor Santhosh George

  206. Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations

    Article • International Journal of Mathematics and Mathematical Sciences, January 2014, Hindawi Publishing Corporation

    Professor Santhosh George

  207. Newton-type iterative methods for nonlinear ill-posed Hammerstein-type equations

    Article • Applicationes Mathematicae, January 2014, Institute of Mathematics, Polish Academy of Sciences

    Professor Santhosh George

  208. Newton Type Iteration for Tikhonov Regularization of Nonlinear Ill-Posed Problems in Hilbert Scales

    Article • Journal of Mathematics, January 2014, Hindawi Publishing Corporation

    Professor Santhosh George

  209. Local convergence of two competing third order methods in Banach space

    Article • Applicationes Mathematicae, January 2014, Institute of Mathematics, Polish Academy of Sciences

    Professor Santhosh George

  210. MODIFICATION OF THE KANTOROVICH-TYPE CONDITIONS FOR NEWTON'S METHOD INVOLVING TWICE FRECHET DIFFERENTIABLE OPERATORS

    Article • Asian-European Journal of Mathematics, September 2013, World Scientific Pub Co Pte Lt

    Professor Santhosh George

  211. EXTENDING THE APPLICABILITY OF NEWTON'S METHOD ON RIEMANNIAN MANIFOLDS WITH VALUES IN A CONE

    Article • Asian-European Journal of Mathematics, September 2013, World Scientific Pub Co Pte Lt

    Professor Santhosh George

  212. Newton Lavrentiev regularization for ill-posed operator equations in Hilbert scales

    Article • Applied Mathematics and Computation, August 2013, Elsevier

    Professor Santhosh George

  213. Expanding the applicability of a modified Gauss–Newton method for solving nonlinear ill-posed problems

    Article • Applied Mathematics and Computation, July 2013, Elsevier

    Professor Santhosh George

  214. Newton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equations

    Article • Korean Journal of Computational & Applied Mathematics, April 2013, Springer Science + Business Media

    Professor Santhosh George

  215. PROJECTION METHOD FOR NEWTON-TIKHONOV REGULARIZATION FOR NON-LINEAR ILL-POSED HAMMERSTEIN TYPE OPERATOR EQUATIONS

    Article • International Journal of Pure and Apllied Mathematics, March 2013, Academic Publications

    Professor Santhosh George

  216. Expanding the applicability of Tikhonov's regularization and iterative approximation for ill-posed problems

    Article • Journal of Inverse and Ill-Posed Problems, January 2013, De Gruyter

    Professor Santhosh George

  217. Expanding the applicability of Lavrentiev regularization methods for ill-posed problems

    Article • Boundary Value Problems, January 2013, Springer Science + Business Media

    Professor Santhosh George

  218. On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations

    Article • Applicationes Mathematicae, January 2013, Institute of Mathematics, Polish Academy of Sciences

    Professor Santhosh George

  219. An application of Newton-type iterative method for the approximate implementation of Lavrentiev regularization

    Article • Journal of Applied Analysis, January 2013, De Gruyter

    Professor Santhosh George

  220. Newton-Type Iteration for Tikhonov Regularization of Nonlinear Ill-Posed Problems

    Article • Journal of Mathematics, January 2013, Hindawi Publishing Corporation

    Professor Santhosh George

  221. Gauss curvature-driven image inpainting for image reconstruction

    Article • Journal of the Chinese Institute of Engineers, December 2012, Taylor & Francis

    Professor Santhosh George

  222. How I Treat Coccidioidomycosis

    Article • Current Fungal Infection Reports, December 2012, Springer Science + Business Media

    Professor Santhosh George

  223. Shock coupled fourth-order diffusion for image enhancement

    Article • Computers & Electrical Engineering, September 2012, Elsevier

    Professor Santhosh George

  224. A time-dependent switching anisotropic diffusion model for denoising and deblurring images

    Article • Journal of Modern Optics, January 2012, Taylor & Francis

    Professor Santhosh George

  225. Fourth-order Gauss Curvature Driven Diffusion for Image Denoising

    Article • International Journal of Computer and Electrical Engineering, January 2012, IACSIT Press

    Professor Santhosh George

  226. Two-Step Newton-Tikhonov Method for Hammerstein-Type Equations: Finite-Dimensional Realization

    Article • ISRN Applied Mathematics, January 2012, Hindawi Publishing Corporation

    Professor Santhosh George

  227. Finite Dimensional Realization of a Guass-Newton Method for Ill-Posed Hammerstein Type Operator Equations

    Article • January 2012, Springer Science + Business Media

    Professor Santhosh George

  228. Two-Step Modified Newton Method for Nonlinear Lavrentiev Regularization

    Article • ISRN Applied Mathematics, January 2012, Hindawi Publishing Corporation

    Professor Santhosh George

  229. Projection Scheme for Newton-Type Iterative Method for Lavrentiev Regularization

    Article • January 2012, Springer Science + Business Media

    Professor Santhosh George

  230. A Quadratic Convergence Yielding Iterative Method for Nonlinear Ill-posed Operator Equations

    Article • Computational Methods in Applied Mathematics, January 2012, De Gruyter

    Professor Santhosh George

  231. A FETI-DP Method for Crouzeix-Raviart Finite Element Discretizations

    Article • Computational Methods in Applied Mathematics, January 2012, De Gruyter

    Professor Santhosh George

  232. Shock coupled coherence enhancing diffusion for robust core-point detection in fingerprints

    Article • June 2011, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Santhosh George

  233. Steganalysis: Using the blind deconvolution to retrieve the hidden data

    Article • April 2011, Institute of Electrical & Electronics Engineers (IEEE)

    Professor Santhosh George

  234. Curvature driven diffusion coupled with shock for image enhancement/reconstruction

    Article • International Journal of Signal and Imaging Systems Engineering, January 2011, Inderscience Publishers

    Professor Santhosh George

  235. Fourth-order variational model with local-constraints for denoising images with textures

    Article • International Journal of Computational Vision and Robotics, January 2011, Inderscience Publishers

    Professor Santhosh George

  236. On convergence of regularized modified Newton's method for nonlinear ill-posed problems

    Article • Journal of Inverse and Ill-Posed Problems, January 2010, De Gruyter

    Professor Santhosh George

  237. An iterative regularization method for ill-posed Hammerstein type operator equation

    Article • Journal of Inverse and Ill-Posed Problems, January 2009, De Gruyter

    Professor Santhosh George

  238. A modified Newton–Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations

    Article • Journal of Complexity, April 2008, Elsevier

    Professor Santhosh George

  239. Newton–Lavrentiev regularization of ill-posed Hammerstein type operator equation

    Article • Journal of Inverse and Ill-Posed Problems, September 2006, De Gruyter

    Professor Santhosh George

  240. Newton–Tikhonov regularization of ill-posed Hammerstein operator equation

    Article • Journal of Inverse and Ill-Posed Problems, April 2006, De Gruyter

    Professor Santhosh George

  241. Optimal order yielding discrepancy principle for simplified regularization in Hilbert scales: finite-dimensional realizations

    Article • International Journal of Mathematics and Mathematical Sciences, January 2004, Hindawi Publishing Corporation

    Professor Santhosh George

  242. An optimal order yielding discrepancy principle for simplified regularization of ill-posed problems in Hilbert scales

    Article • International Journal of Mathematics and Mathematical Sciences, January 2003, Hindawi Publishing Corporation

    Professor Santhosh George

  243. On a generalized arcangeli's method for tikhonov regularization with inexact data

    Article • Numerical Functional Analysis and Optimization, January 1998, Taylor & Francis

    Professor Santhosh George

  244. Error bounds and parameter choice strategies for simplified regularization in Hilbert scales

    Article • Integral Equations and Operator Theory, June 1997, Springer Science + Business Media

    Professor Santhosh George

  245. A class of discrepancy principles for the simplified regularization of ill-posed problems

    Article • The Journal of the Australian Mathematical Society Series B Applied Mathematics, October 1994, Cambridge University Press

    Professor Santhosh George

  246. Parameter choice by discrepancy principles for ill-posed problems leading to optimal convergence rates

    Article • Journal of Optimization Theory and Applications, October 1994, Springer Science + Business Media

    Professor Santhosh George

  247. An a posteriori parameter choice for simplified regularization of ill-posed problems

    Article • Integral Equations and Operator Theory, September 1993, Springer Science + Business Media

    Professor Santhosh George