C^n中子空间之间极端主角的一些应用

ON THE APPLICATIONS OF THE PRINCIPAL ANGLES BETWEEN SUBSPACES IN C^n

本文给出Cn中子空间之间最大和最小主角在矩阵逼近、投影算子的扰动分析、群逆以及Drazin逆的扰动估计、条件数理论、Bott－Duffin系统扰动分析中的一些应用.

This paper gives some applications of the extreme principal angles between subspaces in Cn. Such applications include matrix approximation, perturbation analysis of projective operator, condition number estimation, perturbation analysis of group inverse, Drazin inverse and Bott-Duffin systems.