Constructing Strong Linearizations of Matrix Polynomials Expressed in Chebyshev Bases-Reference-Cited by-同舟云学术

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Constructing Strong Linearizations of Matrix Polynomials Expressed in Chebyshev Bases

Published:2017-01 Issue:3 Volume:38 Page:683-709
ISSN:0895-4798
Container-title:SIAM Journal on Matrix Analysis and Applications
language:en
Short-container-title:SIAM J. Matrix Anal. & Appl.

Author:

Lawrence Piers W.,Pérez Javier

Funder

Belgian Network DYSCO

Engineering and Physical Sciences Research Council

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Analysis

Link

https://epubs.siam.org/doi/pdf/10.1137/16M105839X

Reference30 articles.

1. Linearization of matrix polynomials expressed in polynomial bases

2. Leverrier's algorithm for orthogonal polynomial bases

3. A Pencil Approach for Embedding a Polynomial Matrix into a Unimodular matrix

4. The Ehrlich--Aberth Method for the Nonsymmetric Tridiagonal Eigenvalue Problem

5. Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Linearizations of matrix polynomials viewed as Rosenbrock's system matrices;Linear Algebra and its Applications;2023-05

2. Linearizations for Interpolatory Bases - a Comparison: New Families of Linearizations;The Electronic Journal of Linear Algebra;2020-12-18

3. Robustness and perturbations of minimal bases II: The case with given row degrees;Linear Algebra and its Applications;2019-09

4. Block minimal bases ℓ-ifications of matrix polynomials;Linear Algebra and its Applications;2019-02

5. Structured backward error analysis of linearized structured polynomial eigenvalue problems;Mathematics of Computation;2018-06-14

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