Consistency of a pair of matrix equations with an application
暂无分享,去创建一个
Some necessary and sufficient conditions for a pair of consistent linear matrix equations to have a common solution are given. A simpler algebraic proof o£ Mitra's theorem on the rank of sum of non-negative definite matrices is also given.
[1] Patrick L. Odell,et al. Common Solutions for n Matrix Equations With Applications , 1968, JACM.
[2] F. Smithies. A HILBERT SPACE PROBLEM BOOK , 1968 .
[3] Sujit Kumar Mitra. Common solutions to a pair of linear matrix equations A 1 XB 1 = C 1 and A 2 XB 2 = C 2 , 1973 .
[4] R. Duffin,et al. Series and parallel addition of matrices , 1969 .