Optimal Approximate Solution of the Matrix Equation $AXB=C$ over Symmetric Matrices

Optimal Approximate Solution of the Matrix Equation $AXB=C$ over Symmetric Matrices

Year:    2007

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 5 : pp. 543–552

Abstract

Let $S_E$ denote the least-squares symmetric solution set of the matrix equation $AXB=C$, 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-JCM-10347

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 5 : pp. 543–552

Published online:    2007-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Least-squares solution Optimal approximate solution Generalized singular value decomposition Canonical correlation decomposition.