Hermitian positive definite solution of the matrix equation X=Q+A~*(I_mX-C)~(-1)A
Liao An-ping · 2010
A class of nonlinear matrix equation connected to interpolation theory is investigated.Making use of the Kronecker product and the convergent principle for the monotonic and bounded sequence in the Banach space,we prove the equation exists a unique positive definite solution.In addition,the range for the positive definite solution of the equation is presented.