The Positive Subdefinite and Semipositive Subdefinite Solutions of Matrix Equation AX=B on Subspace
Yuan Yong · Gongcheng shuxue xuebao · 2003
The positive subdefinite and semipositive subdefinite solutions of matrix equation AX=B on subspace Ω=｛x∈Rn｜Gx=0,G∈Rk×n｝ are discussed. Necessary and sufficient conditions for the existence of such solutions and their general forms are derived using the generalized inverses of matrices.