Solvability conditions and general solution of a system of matrix equations involving η-skew-hermitian quaternion matrices

Abdur Rehman; Israr Ali Khan; Rukhshanda Anjum; Iftikhar Hussain

doi:10.3390/sym13101825

Solvability conditions and general solution of a system of matrix equations involving η-skew-hermitian quaternion matrices

Abdur Rehman
, Israr Ali Khan^*
, Rukhshanda Anjum
, Iftikhar Hussain

^*Corresponding author for this work

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

2 Citations (Scopus)

88 Downloads (Pure)

Abstract

In this article, we study the solvability conditions and the general solution of a system of matrix equations involving η-skew-Hermitian quaternion matrices. Several special cases of this system are discussed, and we recover some well-known results in the literature. An algorithm and a numerical example for the validation of our main result are also provided.

Original language	English
Article number	1825
Journal	Symmetry
Volume	13
Issue number	10
Early online date	30 Sept 2021
DOIs	https://doi.org/10.3390/sym13101825
Publication status	Published - Oct 2021

Keywords

General solution
Matrix equation
Quaternions

ASJC Scopus subject areas

Computer Science (miscellaneous)
Chemistry (miscellaneous)
General Mathematics
Physics and Astronomy (miscellaneous)

Access to Document

10.3390/sym13101825Licence: CC BY

Download pdf
Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).
Final published version, 276 KBLicence: CC BY

Cite this

@article{f5974a28001b4384b02f2b6c6a17681c,

title = "Solvability conditions and general solution of a system of matrix equations involving η-skew-hermitian quaternion matrices",

abstract = "In this article, we study the solvability conditions and the general solution of a system of matrix equations involving η-skew-Hermitian quaternion matrices. Several special cases of this system are discussed, and we recover some well-known results in the literature. An algorithm and a numerical example for the validation of our main result are also provided.",

keywords = "General solution, Matrix equation, Quaternions",

author = "Abdur Rehman and Khan, \{Israr Ali\} and Rukhshanda Anjum and Iftikhar Hussain",

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = oct,

doi = "10.3390/sym13101825",

language = "English",

volume = "13",

journal = "Symmetry",

issn = "2073-8994",

publisher = "MDPI",

number = "10",

}

TY - JOUR

T1 - Solvability conditions and general solution of a system of matrix equations involving η-skew-hermitian quaternion matrices

AU - Rehman, Abdur

AU - Khan, Israr Ali

AU - Anjum, Rukhshanda

AU - Hussain, Iftikhar

PY - 2021/10

Y1 - 2021/10

N2 - In this article, we study the solvability conditions and the general solution of a system of matrix equations involving η-skew-Hermitian quaternion matrices. Several special cases of this system are discussed, and we recover some well-known results in the literature. An algorithm and a numerical example for the validation of our main result are also provided.

AB - In this article, we study the solvability conditions and the general solution of a system of matrix equations involving η-skew-Hermitian quaternion matrices. Several special cases of this system are discussed, and we recover some well-known results in the literature. An algorithm and a numerical example for the validation of our main result are also provided.

KW - General solution

KW - Matrix equation

KW - Quaternions

UR - https://www.scopus.com/pages/publications/85116615633

U2 - 10.3390/sym13101825

DO - 10.3390/sym13101825

M3 - Article

AN - SCOPUS:85116615633

SN - 2073-8994

VL - 13

JO - Symmetry

JF - Symmetry

IS - 10

M1 - 1825

ER -

Solvability conditions and general solution of a system of matrix equations involving η-skew-hermitian quaternion matrices

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this