混合矩阵的二次特征值反问题及其最佳逼近  

Inverse Quadratic Eigenvalues Problem for Mixed Matrix and Its Optimal Approximation

作　　者：周硕[1] 杨帆 Zhou Shuo,Yang Fan(Science College ,Northeast Electric Power University,Jilin Jilin 13201)

机构地区：[1]东北电力大学理学院,吉林吉林132012

出　　处：《东北电力大学学报》2018年第4期85-89,共5页Journal of Northeast Electric Power University

摘　　要：利用矩阵的奇异值分解和矩阵的Kronecker乘积,讨论对称正交反对称矩阵和对称正交对称矩阵的二次特征值反问题.证明问题的可解性并求出通解表达式,在解集中求出最佳逼近解.By using the singular value decomposition of matrix and kronecker product of matrix,we discuss the inverse quadratic eigenvalue problem of symmetric orthogonal anti-symmetic matrix and symmetric orthogonal symmetric matrix.Then the existence of the optimal approximation problem is discussed and find the general solution,find the best approximation solution in the solution set.

关 键 词：二次特征值反问题 对称正交对称矩阵 对称正交反对称矩阵 奇异值分解 最佳逼近 

分 类 号：O241.6[理学—计算数学]