All Stories

  1. On a family of low-rank algorithms for large-scale algebraic Riccati equations

    Article • Linear Algebra and its Applications, April 2024, Elsevier

    Prof. Dr. Heike Faßbender

  2. A class of Petrov-Galerkin Krylov methods for algebraic Riccati equations

    Article • ETNA - Electronic Transactions on Numerical Analysis, January 2024, Osterreichische Akademie der Wissenschaften

    Prof. Dr. Heike Faßbender

  3. Modellreduktion

    Article • January 2024, Springer Science + Business Media

    Prof. Dr. Heike Faßbender

  4. The Hamiltonian extended Krylov subspace method

    Article • Electronic Journal of Linear Algebra, September 2022, University of Wyoming Libraries

    Professor Peter Benner, Prof. Dr. Heike Faßbender

  5. Model order reduction techniques for battery systems

    Article • January 2022, American Institute of Physics

    Prof. Dr. Heike Faßbender, Anna Szardenings

  6. A quadrature framework for solving Lyapunov and Sylvester equations

    Article • Linear Algebra and its Applications, August 2021, Elsevier

    Prof. Dr. Heike Faßbender

  7. Nearly optimal scaling in the SR decomposition

    Article • Linear Algebra and its Applications, March 2021, Elsevier

    Prof. Dr. Heike Faßbender

  8. A Rational Even-IRA Algorithm for the Solution of $T$-Even Polynomial Eigenvalue Problems

    Article • SIAM Journal on Matrix Analysis and Applications, January 2021, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Benner, Prof. Dr. Heike Faßbender

  9. On normal and structured matrices under unitary structure-preserving transformations

    Article • Linear Algebra and its Applications, January 2021, Elsevier

    Prof. Dr. Heike Faßbender

  10. Simultaneous Hollowization, Joint Numerical Range, and Stabilization by Noise

    Article • SIAM Journal on Matrix Analysis and Applications, January 2020, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Dr. Heike Faßbender

  11. A revised moment error expression for the AIRGA algorithm

    Article • Analele Universitatii "Ovidius" Constanta - Seria Matematica, July 2018, De Gruyter

    Prof. Dr. Heike Faßbender

  12. Some remarks on the complex J -symmetric eigenproblem

    Article • Linear Algebra and its Applications, May 2018, Elsevier

    Prof. Dr. Heike Faßbender

  13. Block Kronecker ansatz spaces for matrix polynomials

    Article • Linear Algebra and its Applications, April 2018, Elsevier

    Prof. Dr. Heike Faßbender

  14. On vector spaces of linearizations for matrix polynomials in orthogonal bases

    Article • Linear Algebra and its Applications, July 2017, Elsevier

    Prof. Dr. Heike Faßbender

  15. On the conditioning of factors in the SR decomposition

    Article • Linear Algebra and its Applications, September 2016, Elsevier

    Prof. Dr. Heike Faßbender

  16. On the diagonalizability of a matrix by a symplectic equivalence, similarity or congruence transformation

    Article • Linear Algebra and its Applications, May 2016, Elsevier

    Prof. Dr. Heike Faßbender

  17. A fully adaptive rational global Arnoldi method for the model-order reduction of second-order MIMO systems with proportional damping

    Article • Mathematics and Computers in Simulation, April 2016, Elsevier

    Prof. Dr. Heike Faßbender

  18. Breaking Van Loan’s Curse: A Quest forStructure-Preserving Algorithms for Dense Structured Eigenvalue Problems

    Article • January 2015, Springer Science + Business Media

    Prof. Dr. Heike Faßbender

  19. Preface to the 17th ILAS Conference ‘Pure and Applied Linear Algebra: The New Generation’ Proceedings, Braunschweig, Germany, 2011

    Article • Linear Algebra and its Applications, August 2013, Elsevier

    Prof. Dr. Heike Faßbender

  20. Machine tool simulation based on reduced order FE models

    Article • Mathematics and Computers in Simulation, November 2011, Elsevier

    Prof. Dr. Heike Faßbender

  21. On the numerical solution of large-scale sparse discrete-time Riccati equations

    Article • Advances in Computational Mathematics, August 2011, Springer Science + Business Media

    Prof. Dr. Heike Faßbender, Professor Peter Benner

  22. A Hamiltonian Krylov–Schur-type method based on the symplectic Lanczos process

    Article • Linear Algebra and its Applications, August 2011, Elsevier

    Prof. Dr. Heike Faßbender, Professor Peter Benner

  23. Quadratically normal and congruence-normal matrices

    Article • Journal of Mathematical Sciences, February 2010, Springer Science + Business Media

    Prof. Dr. Heike Faßbender

  24. On the product of two skew-Hamiltonian or two skew-symmetric matrices

    Article • Journal of Mathematical Sciences, February 2009, Springer Science + Business Media

    Prof. Dr. Heike Faßbender

  25. Conjugate-normal matrices: A survey

    Article • Linear Algebra and its Applications, October 2008, Elsevier

    Prof. Dr. Heike Faßbender

  26. A note on an unusual type of polar decomposition

    Article • Linear Algebra and its Applications, July 2008, Elsevier

    Prof. Dr. Heike Faßbender

  27. Some properties of generalized K-centrosymmetric H-matrices

    Article • Journal of Computational and Applied Mathematics, May 2008, Elsevier

    Prof. Dr. Heike Faßbender

  28. Simultaneous reduction to block triangular form by a unitary congruence transformation

    Article • Journal of Mathematical Sciences, April 2008, Springer Science + Business Media

    Prof. Dr. Heike Faßbender

  29. An inverse eigenvalue problem and an associated approximation problem for generalized K-centrohermitian matrices

    Article • Journal of Computational and Applied Mathematics, September 2007, Elsevier

    Prof. Dr. Heike Faßbender

  30. On the Solution of the Rational Matrix Equation

    Article • EURASIP Journal on Advances in Signal Processing, May 2007, Springer Science + Business Media

    Prof. Dr. Heike Faßbender, Professor Peter Benner

  31. Some observations on the Youla form and conjugate-normal matrices

    Article • Linear Algebra and its Applications, April 2007, Elsevier

    Prof. Dr. Heike Faßbender

  32. Passivity Preserving Model Reduction via a Structured Lanczos Method

    Article • October 2006, CrossRef Test Account

    Prof. Dr. Heike Faßbender

  33. Passivity preserving model reduction via a structured Lanczos method

    Article • October 2006, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Dr. Heike Faßbender, Professor Peter Benner

  34. Curriculum vitae of Friedrich Ludwig Bauer

    Article • Linear Algebra and its Applications, September 2006, Elsevier

    Prof. Dr. Heike Faßbender

  35. SYMMLQ-like procedure for Ax = b where A is a special normal matrix

    Article • CALCOLO, March 2006, Springer Science + Business Media

    Prof. Dr. Heike Faßbender

  36. Several observations on symplectic, Hamiltonian, and skew-Hamiltonian matrices

    Article • Linear Algebra and its Applications, May 2005, Elsevier

    Prof. Dr. Heike Faßbender

  37. Computing matrix–vector products with centrosymmetric and centrohermitian matrices

    Article • Linear Algebra and its Applications, May 2003, Elsevier

    Prof. Dr. Heike Faßbender

  38. Hamilton and Jacobi come full circle: Jacobi algorithms for structured Hamiltonian eigenproblems

    Article • Linear Algebra and its Applications, August 2001, Elsevier

    Prof. Dr. Heike Faßbender

  39. A hybrid method for the numerical solution of discrete-time algebraic Riccati equations

    Article • January 2001, American Mathematical Society (AMS)

    Prof. Dr. Heike Faßbender

  40. An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue Problem

    Article • SIAM Journal on Matrix Analysis and Applications, January 2001, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Dr. Heike Faßbender

  41. The parameterized $SR$ algorithm for symplectic (butterfly) matrices

    Article • Mathematics of Computation, June 2000, American Mathematical Society (AMS)

    Prof. Dr. Heike Faßbender

  42. Article • BIT Numerical Mathematics, January 2000, Springer Science + Business Media

    Prof. Dr. Heike Faßbender

  43. On the Perturbation Theory for Unitary Eigenvalue Problems

    Article • SIAM Journal on Matrix Analysis and Applications, January 2000, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Dr. Heike Faßbender

  44. SR and SZ algorithms for the symplectic (butterfly) eigenproblem

    Article • Linear Algebra and its Applications, January 1999, Elsevier

    Prof. Dr. Heike Faßbender, Professor Peter Benner

  45. Two connections between the SR and HR eigenvalue algorithms

    Article • Linear Algebra and its Applications, March 1998, Elsevier

    Prof. Dr. Heike Faßbender, Professor Peter Benner

  46. Error bounds in the isometric Arnoldi process

    Article • Journal of Computational and Applied Mathematics, November 1997, Elsevier

    Prof. Dr. Heike Faßbender

  47. An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem

    Article • Linear Algebra and its Applications, September 1997, Elsevier

    Prof. Dr. Heike Faßbender, Professor Peter Benner

  48. Inverse unitary eigenproblems and related orthogonal functions

    Article • Numerische Mathematik, September 1997, Springer Science + Business Media

    Prof. Dr. Heike Faßbender

  49. On numerical methods for discrete least-squares approximation by trigonometric polynomials

    Article • Mathematics of Computation, April 1997, American Mathematical Society (AMS)

    Prof. Dr. Heike Faßbender

  50. A Jacobi-like method for solving algebraic Riccati equations on parallel computers

    Article • IEEE Transactions on Automatic Control, January 1997, Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Dr. Heike Faßbender

  51. On the Generalized Schur Decomposition of a Matrix Pencil for Parallel Computation

    Article • SIAM Journal on Scientific and Statistical Computing, July 1991, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Dr. Heike Faßbender

  52. Initializing Newton's method for discrete-time algebraic Riccati equations using the butterfly SZ algorithm

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Prof. Dr. Heike Faßbender, Professor Peter Benner