mth roots of H-selfadjoint matrices

G. J. Groenewald; D. B. Janse van Rensburg; A. C.M. Ran; F. Theron; M. van Straaten

doi:10.1016/j.laa.2020.10.020

mth roots of H-selfadjoint matrices

G. J. Groenewald, D. B. Janse van Rensburg, A. C.M. Ran^*, F. Theron, M. van Straaten

^*Corresponding author for this work

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

In this paper necessary and sufficient conditions are given for the existence of an H-selfadjoint mth root of a given H-selfadjoint matrix. A construction is given of such an H-selfadjoint mth root when it does exist.

Original language	English
Pages (from-to)	804-826
Number of pages	23
Journal	Linear Algebra and its Applications
Volume	610
Early online date	21 Oct 2020
DOIs	https://doi.org/10.1016/j.laa.2020.10.020
Publication status	Published - 1 Feb 2021

Keywords

Canonical forms
H-selfadjoint matrices
Indefinite inner product space
Roots of matrices

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title = "mth roots of H-selfadjoint matrices",

abstract = "In this paper necessary and sufficient conditions are given for the existence of an H-selfadjoint mth root of a given H-selfadjoint matrix. A construction is given of such an H-selfadjoint mth root when it does exist.",

keywords = "Canonical forms, H-selfadjoint matrices, Indefinite inner product space, Roots of matrices",

author = "Groenewald, {G. J.} and {Janse van Rensburg}, {D. B.} and Ran, {A. C.M.} and F. Theron and {van Straaten}, M.",

year = "2021",

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doi = "10.1016/j.laa.2020.10.020",

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AU - Groenewald, G. J.

AU - Janse van Rensburg, D. B.

AU - Ran, A. C.M.

AU - Theron, F.

AU - van Straaten, M.

PY - 2021/2/1

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N2 - In this paper necessary and sufficient conditions are given for the existence of an H-selfadjoint mth root of a given H-selfadjoint matrix. A construction is given of such an H-selfadjoint mth root when it does exist.

AB - In this paper necessary and sufficient conditions are given for the existence of an H-selfadjoint mth root of a given H-selfadjoint matrix. A construction is given of such an H-selfadjoint mth root when it does exist.

KW - Canonical forms

KW - H-selfadjoint matrices

KW - Indefinite inner product space

KW - Roots of matrices

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VL - 610

SP - 804

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JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

ER -

mth roots of H-selfadjoint matrices

Abstract

Keywords

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