What is it about?
We establish an analogue of the fundamental theorem of algebra for polynomial matrix equations, in which the matrices-coefficients and unknown matrix are assumed to be circulant matrices.
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Why is it important?
It is probably the first paper, when the fundamental theorem of algebra is establishes for the polynomial matrix equation.
Perspectives
We believe that the result has a classical nature. It can be developed as a theoretical result. As well, it may have important applications.
Dr Vyacheslav Abramov
Monash University
Read the Original
This page is a summary of: Extension of the Fundamental Theorem of Algebra for Polynomial Matrix Equations with Circulant Matrices, American Mathematical Monthly, January 2025, Taylor & Francis,
DOI: 10.1080/00029890.2024.2440298.
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