一类可对称化矩阵反问题的最小二乘解  

THE LEAST-SQUARES SOLUTION OF INVERSE PROBLEM FOR ONE KIND OF SYMMETRIZABLE MATRICES

作　　者：彭振赟[1] 

机构地区：[1]湖南科技大学应用数学系

出　　处：《数值计算与计算机应用》2004年第3期219-224,共6页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金资助项目(10171031);湖南省教育厅资助项目(02C025).

摘　　要：The general expressions of least-squares solution and its optimal approximation solution of inverse problem for one kind of symmetrizable matrices is given. The necessary and sufficient conditions for the solvability and the general solution of inverse eigenvalue problem for this kind of symmetrizable matrices are obtained.The general expressions of least-squares solution and its optimal approximation solution of inverse problem for one kind of symmetrizable matrices is given. The necessary and sufficient conditions for the solvability and the general solution of inverse eigenvalue problem for this kind of symmetrizable matrices are obtained.

关 键 词：可对称化矩阵 最小二乘法 反对称矩阵 谱分解 

分 类 号：O241.5[理学—计算数学]