On a class of matrix polynomial equations

M.A. Kaashoek; L. Lerer

doi:10.1016/j.laa.2012.08.020

On a class of matrix polynomial equations

M.A. Kaashoek, L. Lerer

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

This paper deals with a class of matrix polynomial equations which appears in a natural way in the study of Szego-Kreǐn orthogonal matrix polynomials. Necessary and sufficient conditions for solvability are given in terms of left and right root functions of the coefficients. The main result is a discrete version of the main theorem in 3 which concerns entire matrix functions. © 2012 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	613-620
Journal	Linear Algebra and its Applications
Volume	439
Issue number	3
DOIs	https://doi.org/10.1016/j.laa.2012.08.020
Publication status	Published - 2013

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10.1016/j.laa.2012.08.020

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AB - This paper deals with a class of matrix polynomial equations which appears in a natural way in the study of Szego-Kreǐn orthogonal matrix polynomials. Necessary and sufficient conditions for solvability are given in terms of left and right root functions of the coefficients. The main result is a discrete version of the main theorem in 3 which concerns entire matrix functions. © 2012 Elsevier Inc. All rights reserved.

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DO - 10.1016/j.laa.2012.08.020

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VL - 439

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JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

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On a class of matrix polynomial equations

Abstract

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