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Volume 22, Issue 4
The Inverse Problem of Centrosymmetric Matrices with a Submatrix Constraint

Zhenyun Peng, Xiyan Hu & Lei Zhang

J. Comp. Math., 22 (2004), pp. 535-544.

Published online: 2004-08

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  • 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.

  • Keywords

Matrix norm, Centrosymmetric matrix, Inverse problem, Optimal approximation.

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COPYRIGHT: © Global Science Press

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@Article{JCM-22-535, author = {Peng , ZhenyunHu , Xiyan and Zhang , Lei}, title = {The Inverse Problem of Centrosymmetric Matrices with a Submatrix Constraint}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {4}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10303.html} }
TY - JOUR T1 - The Inverse Problem of Centrosymmetric Matrices with a Submatrix Constraint AU - Peng , Zhenyun AU - Hu , Xiyan AU - Zhang , Lei JO - Journal of Computational Mathematics VL - 4 SP - 535 EP - 544 PY - 2004 DA - 2004/08 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10303.html KW - Matrix norm, Centrosymmetric matrix, Inverse problem, Optimal approximation. AB -

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.

Peng , ZhenyunHu , Xiyan and Zhang , Lei. (2004). The Inverse Problem of Centrosymmetric Matrices with a Submatrix Constraint. Journal of Computational Mathematics. 22 (4). 535-544. doi:
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