Mth roots of h-selfadjoint matrices over the quaternions

D.B. JANSE VAN RENSBURG; A.C. Ran; F. Theron; M. VAN STRAATEN

doi:10.13001/ela.2021.5935

Mth roots of h-selfadjoint matrices over the quaternions

D.B. JANSE VAN RENSBURG, A.C. Ran, F. Theron, M. VAN STRAATEN

Mathematics

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

Abstract

© 2021, International Linear Algebra Society. All rights reserved.The complex matrix representation for a quaternion matrix is used in this paper to find necessary and sufficient conditions for the existence of an H-selfadjoint mth root of a given H-selfadjoint quaternion matrix. In the process, when such an H-selfadjoint mth root exists, its construction is also given.

Original language	English
Pages (from-to)	492-503
Journal	Electronic Journal of Linear Algebra
Volume	37
DOIs	https://doi.org/10.13001/ela.2021.5935
Publication status	Published - 2021

Funding

†Department of Mathematics and Applied Mathematics, Research Focus: Pure and Applied Analytics, North-West University, Private Bag X6001, Potchefstroom 2520, South Africa ([email protected], [email protected], [email protected]). Supported by a grant from DSI-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS).

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DSI-NRF Centre of Excellence in Mathematical and Statistical Sciences

UN SDGs

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10.13001/ela.2021.5935

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title = "Mth roots of h-selfadjoint matrices over the quaternions",

abstract = "{\textcopyright} 2021, International Linear Algebra Society. All rights reserved.The complex matrix representation for a quaternion matrix is used in this paper to find necessary and sufficient conditions for the existence of an H-selfadjoint mth root of a given H-selfadjoint quaternion matrix. In the process, when such an H-selfadjoint mth root exists, its construction is also given.",

author = "{JANSE VAN RENSBURG}, D.B. and A.C. Ran and F. Theron and {VAN STRAATEN}, M.",

year = "2021",

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AU - JANSE VAN RENSBURG, D.B.

AU - Ran, A.C.

AU - Theron, F.

AU - VAN STRAATEN, M.

PY - 2021

Y1 - 2021

N2 - © 2021, International Linear Algebra Society. All rights reserved.The complex matrix representation for a quaternion matrix is used in this paper to find necessary and sufficient conditions for the existence of an H-selfadjoint mth root of a given H-selfadjoint quaternion matrix. In the process, when such an H-selfadjoint mth root exists, its construction is also given.

AB - © 2021, International Linear Algebra Society. All rights reserved.The complex matrix representation for a quaternion matrix is used in this paper to find necessary and sufficient conditions for the existence of an H-selfadjoint mth root of a given H-selfadjoint quaternion matrix. In the process, when such an H-selfadjoint mth root exists, its construction is also given.

U2 - 10.13001/ela.2021.5935

DO - 10.13001/ela.2021.5935

M3 - Article

SN - 1537-9582

VL - 37

SP - 492

EP - 503

JO - Electronic Journal of Linear Algebra

JF - Electronic Journal of Linear Algebra

ER -

Mth roots of h-selfadjoint matrices over the quaternions

Abstract

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UN SDGs

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