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 - <p style="text-align: justify;">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.</p>