Year: 2004
Author: Zhenyun Peng, Xiyan Hu, Lei Zhang
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 535–544
Abstract
By using Moore-Penrose generalized inverse and the general singular value decomposition of matrices, this paper establishes the necessary and sufficient conditions for the existence of and the expressions for the centrosymmetric solutions with a submatrix constraint of matrix inverse problem $AX = B$. In addition, in the solution set of corresponding problem, the expression of the optimal approximation solution to a given matrix is derived.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10303
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 535–544
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Matrix norm Centrosymmetric matrix Inverse problem Optimal approximation.