A class of quasi-sparse companion pencils

Terán Vergara, Fernando de; Hernando Fuster, Carla

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A class of quasi-sparse companion pencils

Author(s): Terán Vergara, Fernando de; Hernando Fuster, Carla

Publisher: Springer Nature Switzerland AG

Issued date: 2019-04

Citation: Structured matrices in numerical linear algebra: analysis, algorithms and applications. Springer Nature Switzerland AG, 2019. Pp. 157-179

ISBN: 978-3-030-04087-1

ISSN: 2281-518X

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)

Sponsor: This work has been partially supported by theMinisterio de Economía y Competitividad of Spain through grants MTM2015-68805-REDT and MTM2015-65798-P.

Serie/No.: Springer INdAM Series, vol. 30

Project: Gobierno de España. MTM2015-65798-P
Gobierno de España. MTM2015-68805-REDT

Keywords: Companion matrix , Companion pencil , Linearization , Sparsity , Scalar polynomial , Matrix polynomial , Arbitrary field , Permutation

URI: http://hdl.handle.net/10016/32723

Rights: © Springer Nature Switzerland AG 2019.

Abstract:

In this paper, we introduce a general class of quasi-sparse potential companion pencils for arbitrary square matrix polynomials over an arbitrary field, which extends the class introduced in [B. Eastman, I.-J. Kim, B. L. Shader, K.N. Vander Meulen, Companion m [+]

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