Investigation of some Sylvester-type quaternion matrix equations with multiple unknowns

被引：6

作者：

Zhang, Chong-Quan ^{[1
,2
]}

Wang, Qing-Wen ^{[1
,2
]}

Dmytryshyn, Andrii ^{[3
]}

He, Zhuo-Heng ^{[1
,2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Shanghai Univ, Newtouch Ctr Math, Shanghai 200444, Peoples R China

[3] Orebro Univ, Sch Sci & Technol, Orebro, Sweden

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Linear matrix equation; Inner inverse; General solution; Quaternion; Solvability; NONNEGATIVE-DEFINITE; AX; SYSTEMS; AXB+CYD;

D O I：

10.1007/s40314-024-02706-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the solvability conditions of some Sylvester-type quaternion matrix equations. We establish some practical necessary and sufficient conditions for the existence of solutions of a Sylvester-type quaternion matrix equation with five unknowns through the corresponding equivalence relations of the block matrices. Moreover, we present some solvability conditions to some Sylvester-type quaternion matrix equations, including those involving Hermicity. The findings of this article extend related known results.

引用

页数：26

共 43 条

[11] Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations
Dehghan, Mehdi
Hajarian, Masoud
[J]. APPLIED MATHEMATICAL MODELLING, 2011, 35 (07) : 3285 - 3300
[12] Deng YB, 2005, J COMPUT MATH, V23, P17
[13] Generalization of Roth's solvability criteria to systems of matrix equations
Dmytryshyn, Andrii
Futorny, Vyacheslav
Klymchuk, Tetiana
Sergeichuk, Vladimir V.
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 527 : 294 - 302
[14] COUPLED SYLVESTER-TYPE MATRIX EQUATIONS AND BLOCK DIAGONALIZATION
Dmytryshyn, Andrii
Kagstrom, Bo
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2015, 36 (02) : 580 - 593
[15] On the Hermitian solutions to a system of adjointable operator equations
Farid, F. O.
Moslehian, M. S.
Wang, Qing-Wen
Wu, Zhong-Cheng
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (07) : 1854 - 1891
[16] Nonnegative-definite and positive-definite solutions to the matrix equation AXA*=B-revisited
Gross, J
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 321 (1-3) : 123 - 129
[17] GroSS J., 1998, Bull. Malays. Math. Sci. Soc, V21, P57
[18] On the general solutions to some systems of quaternion matrix equations
He, Zhuo-Heng
Wang, Meng
Liu, Xin
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (02)
[19] Some Quaternion Matrix Equations Involving φ-Hermicity
He, Zhuo-Heng
[J]. FILOMAT, 2019, 33 (16) : 5097 - 5112
[20] A simultaneous decomposition for seven matrices with applications
He, Zhuo-Heng
Wang, Qing-Wen
Zhang, Yang
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 349 : 93 - 113

← 1 2 3 4 5 →