,OPTIMAL APPROXIMATE SOLUTION OF THE MATRIX EQUATION AXB=C OVER SYMMETRIC MATRICES

• 作 者: Anping Liao Yuan Lei
• 机 构: College of Mathematics and Econometrics,Hunan University；Changsha 410082,China
• 出 处: 计算数学（英文版）
• 发表日期: 2007年5期
• 关键词: Least-squares solution Optimal approximate solution Generalized singular value d

Let SE denote the least-squares symmetric solution set of the matrix equation AXB=C,where A,B and C are given matrices of suitable size.To find the optimal approximate solution in the set SE to a given matrix,we give a new feasible method based on the projection theorem,the generalized SVD and the canonical correction decomposition.