Hermite positive definite solutions of matrix equation X-sum from i=1 to m(A_i~*X~qA_i)=I(q>1)
Xiaoyu Zhang · 2009
We study the Hermite positive definite solution of the matrix equation X-sum from i=1 to m(A_i~*X~qA_i)=I(q1) with q1.For arbitrary positive integer m and q1,some necessary conditions and sufficiency conditions for existence is given.A iterative method and its convergence are discussed in some detail.