On the Least Squares Problem of a Matrix Equation

On the Least Squares Problem of a Matrix Equation

Year:    1999

Author:    An-Ping Liao

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 6 : pp. 589–594

Abstract

Least squares solution of F=PG with respect to positive semidefinite symmetric P is considered, a new necessary and sufficient condition for solvability is given, and the expression of solution is derived in the some special cases. Based on the expression, the least squares solution of an inverse eigenvalue problem for positive semidefinite symmetric matrices is also given.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1999-JCM-9129

Journal of Computational Mathematics, Vol. 17 (1999), Iss. 6 : pp. 589–594

Published online:    1999-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Least squares solution Matrix equation Inverse eigenvalue problem Positive semidefinite symmetric matrix.

Author Details

An-Ping Liao