A note on generalized companion pencils in the monomial basis-Reference-Cited by-同舟云学术

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A note on generalized companion pencils in the monomial basis

Published:2019-12-06 Issue:1 Volume:114 Page:
ISSN:1578-7303
Container-title:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
language:en
Short-container-title:RACSAM

Author:

De Terán Fernando^ORCID,Hernando Carla

Funder

Secretaría de Estado de Investigación, Desarrollo e Innovación

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s13398-019-00760-y.pdf

Reference41 articles.

1. Antoniou, E.N., Vologiannidis, S.: A new family of companion forms for polynomial matrices. Electron. J. Linear Algebra 11, 78–87 (2004)

2. Aurentz, J., Mach, T., Vandebril, R., Watkins, D.S.: Fast and backward stable computation of roots of polynomials. SIAM J. Matrix Anal. Appl. 36, 942–973 (2015)

3. Aurentz, J., Mach, T., Robol, L., Vandebril, R., Watkins, D.S.: Fast and backward stable computation of roots of polynomials, part II: backward error analysis; companion matrix and companion pencil. SIAM J. Matrix Anal. Appl. 39, 1245–1269 (2018)

4. Aurentz, J., Mach, T., Robol, L., Vandebril, R., Watkins, D.S.: Fast and backward stable computation of the eigenvalues of matrix polynomials. Math. Comput. 88, 313–347 (2019)

5. Barnett, S.: A companion matrix analogue for orthogonal polynomials. Linear Algebra Appl. 12, 197–208 (1975)

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1. Corrigendum to “A note on generalized companion pencils”;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-09-04

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