Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations 论文

1976SIAM Journal on Applied Mathematics引用 280
Matrix Theory and AlgorithmsAdvanced Optimization Algorithms ResearchAdvanced Mathematical Theories and Applications

摘要

Necessary and sufficient conditions for existence and expressions for general Hermitian and nonnegative definite solutions are obtained for the following three systems of linear equations: (I) $AX = C$, (II) $AX = C,XB = D$, (III) $AXB = C$.