A NOTE ON THE HERMITIAN POSITIVE DEFINITE SOLUTIONS OF THE MATRIX EQUATION X~s+A~*X~(-t)A=I
Liyun Lin · Journal of South China Normal University · 2010
The Hermitian positive definite solutions of the matrix equation Xs+A*X-tA=I are studied,where I is the n×n identity matrix and A is a n×n non-singular complex matrix.Properties of the Hermitian positive definite solutions are investigated,which improves some existing results.