Length realizability for pairs of quasi-commuting matrices

A. E. Guterman; O. V. Markova; V. Mehrmann

doi:10.1016/j.laa.2018.06.020

Length realizability for pairs of quasi-commuting matrices

A. E. Guterman, O. V. Markova, V. Mehrmann

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

For the pairs of quasi-commuting matrices we completely characterize natural numbers that can be realized as the lengths of these pairs of generators.

Original language	English
Pages (from-to)	135-154
Number of pages	20
Journal	Linear Algebra and Its Applications
Volume	568
DOIs	https://doi.org/10.1016/j.laa.2018.06.020
State	Published - 1 May 2019
Externally published	Yes

Bibliographical note

Funding Information:
The investigations of the first and the second authors are supported by Russian Science Foundation, Project 17-11-01124.The third author is supported by Einstein Foundation Berlin via Project ‘Algorithmische Lineare Algebra: Hochleistungsrechnen, Numerische Stabilität and Fehlertoleranz’.

Publisher Copyright:
© 2018 Elsevier Inc.

Keywords

Finite-dimensional algebras
Lengths of sets and algebras
Quasi-commuting matrices

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10.1016/j.laa.2018.06.020

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abstract = "For the pairs of quasi-commuting matrices we completely characterize natural numbers that can be realized as the lengths of these pairs of generators.",

keywords = "Finite-dimensional algebras, Lengths of sets and algebras, Quasi-commuting matrices",

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KW - Finite-dimensional algebras

KW - Lengths of sets and algebras

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JF - Linear Algebra and Its Applications

ER -

Length realizability for pairs of quasi-commuting matrices

Abstract

Bibliographical note

Keywords

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