Generalized inverse of matrix and orthogonal projection 矩陣的廣義逆與正交投影
The oblique generalized inverse of matrix a - cb 的斜廣義逆
The aim of this paper is to study the generalized inverse of matrices on rings , the generalized inverse of morphism and partial ordering of matrices 本文研究了環(huán)上矩陣的廣義逆,范疇中態(tài)射的廣義逆,并研究矩陣的偏序。
Since 1950s , many mathematicians have been engaged in studying the " generalized inverse of matrices such as the generalized inverse of matrices on rings , the generalized inverse of morphism , the compution on the generalized inverse of matrices , the application of generalized inverse and so on Penrose利用四個矩陣方程給出矩陣廣義逆的更為簡潔定義,此后,矩陣廣義逆研究得到了迅速的發(fā)展。矩陣廣義逆的研究包括環(huán)上矩陣的廣義逆,范疇中態(tài)射的廣義逆,廣義逆矩陣的計算和廣義逆矩陣的應(yīng)用等。