The Hermitian Positive Definite Solutions of Matrix Equation X - A*X~(-q)A = Q When q >1
Yuhai Zhang · Gongcheng shuxue xuebao · 2005
We study the Hermitian positive definite solutions of the matrix equation X-A*X-qA = Q with q 1. Constructed are iterative methods for obtaining positive definite solutions of the equation. Sufficient conditions for the existence of positive definite solutions of the equation are given, and one property of the solutions is also discussed. The results are illustrated by numerical examples.