极分解中半正定因子的扰动界

The Perturbation Bounds of the Nonnegative Definite Factor in the Polar Decomposition

设A是m×n阶复矩阵,A=QH为A的极分解,其中Q是m×n阶的极因子,H是n×n阶半正定的Hermite矩阵.改进和推广了当前极分解中H因子的相关结论.

Let A be an m×n complex matrix. The decomposition A = QH is termed a polar decomposition of A, where Q is an m×n polar factor and H is a positive semidefinite Hermitian matrix. In this paper, some results corresponding to the H -factor are improved.