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

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
Number of pages	12
Journal	Electronic Journal of Linear Algebra
Volume	37
Early online date	2 Jul 2021
DOIs	https://doi.org/10.13001/ela.2021.5935
Publication status	Published - 2021

Bibliographical note

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).

Funders
DSI-NRF Centre of Excellence in Mathematical and Statistical Sciences

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 16 Peace, Justice and Strong Institutions

Access to Document

10.13001/ela.2021.5935

Persistent URL (handle)

Persistent link

Cite this

@article{7810501163d343de9da31bd6bdd02a41,

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

abstract = "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",

doi = "10.13001/ela.2021.5935",

language = "English",

volume = "37",

pages = "492--503",

journal = "Electronic Journal of Linear Algebra",

issn = "1537-9582",

publisher = "International Linear Algebra Society",

}

TY - JOUR

T1 - Mth roots of h-selfadjoint matrices over the quaternions

AU - JANSE VAN RENSBURG, D.B.

AU - Ran, A.C.

AU - Theron, F.

AU - VAN STRAATEN, M.

PY - 2021

Y1 - 2021

N2 - 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 - 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

Bibliographical note

Funding

UN SDGs

Access to Document

Persistent URL (handle)

Fingerprint

Cite this