矩阵方程A^TXA=B的对称正交对称最小二乘解  

Symmetric Ortho-symmetric Least Square Solutions of the Matrix Equation A^TXA = B

作　　者：兰艳[1] 彭向阳[1] 

机构地区：[1]长沙大学数学与信息科学系,长沙410003

出　　处：《工程数学学报》2006年第4期678-684,共7页Chinese Journal of Engineering Mathematics

摘　　要：基于广义奇异值分解定理,我们得到了矩阵方程对称正交对称最小二乘解的表达式,并导出了最佳逼近已知矩阵的对称正交对称最小二乘解和矩阵方程的最小范数解。Basing on the generalized singular value decomposition （GSVD） theorem, we derived the least squares expression of the symmetric ortho-symmetric solutions of the matrix equation. The expressions of the optimal approximation solution to the given matrix and minimum norm solution were also derived.

关 键 词：对称正交对称矩阵 最小二乘解 逼近解 最小范数解 

分 类 号：O151.21[理学—数学]