Optimal approximate solution of the matrix equation AXB = C over symmetric matrices

被引：0

作者：

Liao, Anping ^{[1
]}

Lei, Yuan ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2007年 / 25卷 / 05期

关键词：

least-squares solution; optimal approximate solution; generalized singular; value decomposition; canonical correlation decomposition;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S-E denote the least-squares symmetric solution set of the matrix equation AX B = C, where A, B and C are given matrices of suitable size. To find the optimal approximate solution in the set S-E to a given matrix, we give a new feasible method based on the projection theorem, the generalized SVD and the canonical correction decomposition.

引用

页码：543 / 552

页数：10

共 41 条

[1] OPTIMAL APPROXIMATE SOLUTION OF THE MATRIX EQUATION AXB = C OVER SYMMETRIC MATRICES
Anping Liao and Yuan Lei College of Mathematics and Econometrics
JournalofComputationalMathematics, 2007, (05) : 543 - 552
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[4] The matrix nearness problem for symmetric matrices associated with the matrix equation [ATXA, BTXB] = [C, D]
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[9] An Iteration Method for Solving the Inconsistent Matrix Equation [ATXA, BTXB]=[C, D] over Symmetric Matrices
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