摘要
本文使用下列符号:C^(m×n)表示m×n复矩阵的集合,C_r^(m×n)表示秩为r的m×n复矩阵的集合,A^H和A^+分别表示矩阵A的共轭转置和Moore-Penrose广义逆,|| ||_2表示向量的Euclid范数和矩阵的谱范数,|| ||_F表示Frobenius范数,R(A)
By a generalized polar decomposition of an m×n matrix A, it is meant that A can bedecomposed as A=QH, where Q is an m×n subunitary matrix, and H is a Hermite positivesemidefinite matrix. In this paper, the uniqueness theorem of generalized polar decomposi-tiion, the best approximation property of the subunitary factor, the perturbation bounds forthe generalized polar factors Q and H, and a quadratically convergent method are studied. So-me numerical examples are also given.
出处
《计算数学》
CSCD
北大核心
1989年第3期262-273,共12页
Mathematica Numerica Sinica
基金
国家自然科学基金
