The Solutions to Matrix Equation AX = B with Some Constraints

被引：0

作者：

Dong, Chang-Zhou ^{[1
]}

Zhang, Yu-Ping ^{[1
]}

机构：

[1] Shijiazhuang Univ Econ, Sch Math & Sci, Shijiazhuang 050031, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

关键词：

SINGULAR VALUE DECOMPOSITION; SYMMETRIC-SOLUTIONS;

D O I：

10.1155/2014/412094

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let P be a given Hermitian matrix satisfying P-2 = I. Using the eigenvalue decomposition of P, we consider the least squares solutions to the matrix equation AX = B with the constraints PX = XP and X* = X. A similar problem of this matrix equation with generalized constrained is also discussed.

引用

页数：4

共 50 条

[31] ON RELATIONS AMONG SOLUTIONS OF THE HERMITIAN MATRIX EQUATION AX A* = B AND ITS THREE SMALL EQUATIONS
Li, Ying
Tian, Yongge
ANNALS OF FUNCTIONAL ANALYSIS, 2014, 5 (02) : 30 - 46
[32] The solutions to the quadratic matrix equation X*AX plus B*X plus D=0
Yuan, Yongxin
Liu, Lina
Zhang, Huiting
Liu, Hao
APPLIED MATHEMATICS AND COMPUTATION, 2021, 410
[33] On minimal solutions of the matrix equation AX-YB=0
Dobovisek, M
LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 325 (1-3) : 81 - 99
[34] Solutions of the Matrix Equation AX + YB = C with Triangular Coefficients
Dzhaliuk N.S.
Journal of Mathematical Sciences, 2022, 261 (1) : 25 - 32
[35] Parametric solutions to the generalized Sylvester matrix equation AX - XF = BY and the regulator equation AX - XF = BY+ R
Center for Control Systems and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China
Asian J. Control, 2007, 4 (475-483):
[36] Explicit solutions to the matrix inverse problem AX = B
Gross, J
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 289 (1-3) : 131 - 134
[37] On solutions of matrix equation AXAH = B over some special matrices
Sheng, Yan-Ping
Xie, Dongxiu
PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, : 424 - 426
[38] An Analysis of the Matrix Equation AX + <(Xover bar>B = C
Ikramov, Kh. D.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2016, 56 (09) : 1536 - 1539
[39] The solution to matrix equation AX plus XT C = B
Piao, Fengxian
Zhang, Qingling
Wang, Zhefeng
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2007, 344 (08): : 1056 - 1062
[40] FULL INVESTIGATION OF THE MATRIX EQUATION AX plus X B = C AND SPECIFICALLY OF THE EQUATION AX - X A = C
Rabkin, E. L.
ST PETERSBURG MATHEMATICAL JOURNAL, 2015, 26 (01) : 117 - 130

← 1 2 3 4 5 →