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Root polynomials and their role in the theory of matrix polynomials

  • Published:2020-01 Issue: Volume:584 Page:37-78
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Dopico Froilán M.ORCID,Noferini VanniORCID

Funder

Ministerio de Economía, Industria y Competitividad, Gobierno de España

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference23 articles.

1. Eigenvectors and minimal bases for some families of Fiedler–like linearizations;Bueno;Linear Multilinear Algebra,2014

2. Recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler linearizations;Bueno;SIAM J. Matrix Anal. Appl.,2011

3. A simplified approach to Fiedler-like pencils via block minimal bases pencils;Bueno;Linear Algebra Appl.,2018

4. Trimmed linearizations for structured matrix polynomials;Byers;Linear Algebra Appl.,2008

5. Linearizations of singular matrix polynomials and the recovery of minimal indices;De Terán;Electron. J. Linear Algebra,2009

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1. Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils;BIT Numerical Mathematics;2024-07-15

2. Computing a compact local Smith–McMillan form;Linear and Multilinear Algebra;2024-04-15

3. On generalizing trace minimization principles, II;Linear Algebra and its Applications;2024-04

4. The DL(P) vector space of pencils for singular matrix polynomials;Linear Algebra and its Applications;2023-11

5. Solving Singular Generalized Eigenvalue Problems. Part II: Projection and Augmentation;SIAM Journal on Matrix Analysis and Applications;2023-10-25
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