TY - JOUR
T1 - On the Least Squares Problem of a Matrix Equation
AU - Liao , An-Ping
JO - Journal of Computational Mathematics
VL - 6
SP - 589
EP - 594
PY - 1999
DA - 1999/12
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9129.html
KW - Least squares solution, Matrix equation, Inverse eigenvalue problem,
Positive semidefinite symmetric matrix.
AB - 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.