The bi-Hermitian solution to a linear quaternion matrix equation

被引：0
|
作者：
Lin, Chun-Yan [1 ]
机构：
[1] Shandong Finance Univ, Sch Stat & Sci, Jinan 250014, Peoples R China
来源：
PROCEEDINGS OF THE 14TH CONFERENCE OF INTERNATIONAL LINEAR ALGEBRA SOCIETY | 2007年
关键词：
system of linear quaternion matrix equations; reflexive inverse of a matrix; bi-Hermitian matrix;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the bi-Hermitian solution to the quaternion matrix equation XB = C. We first give a necessary and sufficient condition for the existence of and the representation for the general solution to a system of quaternion matrix equations A(1)X = C-1,XB2 = C-2, A(3)X = C-3, XB4 = C-4. Then using the results on the system, we establish a necessary and sufficient conditions for the existence of and the expressions for the bi-Hermitian solutions to the quaternion matrix equation XB = C.
引用
收藏
页码：173 / 176
页数：4
相关论文
共 50 条
  • [11] The Hermitian Solution to a New System of Commutative Quaternion Matrix Equations
    Zhang, Yue
    Wang, Qing-Wen
    Xie, Lv-Ming
    SYMMETRY-BASEL, 2024, 16 (03):
  • [12] The ?-(anti-)Hermitian solution to a constrained Sylvester-type generalized commutative quaternion matrix equation
    Chen, Xue-Ying
    Wang, Qing-Wen
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2023, 17 (03)
  • [13] On a Solution of the Quaternion Matrix Equation and Its Applications
    Jiang, Tongsong
    Ling, Sitao
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2013, 23 (03) : 689 - 699
  • [14] An Exact Solution to a Quaternion Matrix Equation with an Application
    Liu, Long-Sheng
    Wang, Qing-Wen
    Chen, Jiang-Feng
    Xie, Yu-Zhu
    SYMMETRY-BASEL, 2022, 14 (02):
  • [15] General solution to a system of quaternion matrix equation
    Xie, Zhongzhou
    Liu, Xiaoji
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 3, 2009, : 45 - 48
  • [16] Twistors and Bi-Hermitian Surfaces of Non-Kahler Type
    Fujiki, Akira
    Pontecorvo, Massimiliano
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2014, 10
  • [17] On Walker 4-manifolds with pseudo bi-Hermitian structures
    Turanli, Sibel
    TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (05) : 2299 - 2307
  • [18] Ranks of submatrices in (skew-)Hermitian solutions to a quaternion matrix equation
    Li N.
    Jiang J.
    Song G.-J.
    Li, N. (nli599@yahoo.com.cn), 1600, Springer Verlag (42): : 19 - 40
  • [19] EXTREME RANKS OF (SKEW-)HERMITIAN SOLUTIONS TO A QUATERNION MATRIX EQUATION
    Wang, Qing Wen
    Jiang, Jing
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2010, 20 : 552 - 573
  • [20] Hermitian solution to constraint system of generalized Sylvester quaternion matrix equations
    Rehman, Abdur
    Kyrchei, Ivan
    ARABIAN JOURNAL OF MATHEMATICS, 2024, : 595 - 610
12345