广义Schur补S=D-CA^DB为零的2×2分块矩阵的Drazin逆  

The Drazin inverse of 2 × 2 block matrix with generalized Schur complement being zero

作　　者：董鹏飞[1] 卜长江[2] 崔继峰[3] 

机构地区：[1]呼和浩特民族学院数学系,呼和浩特010051 [2]哈尔滨工程大学理学院,哈尔滨150001 [3]内蒙古工业大学理学院,呼和浩特010051

出　　处：《黑龙江大学自然科学学报》2016年第5期625-630,共6页Journal of Natural Science of Heilongjiang University

基　　金：内蒙古自治区高等学校科学研究项目(NJZY14207)

摘　　要：利用两个矩阵和的Drazin逆公式,给出Schur补S=D-CA^DB=0的分块矩阵M=(A BC D)(其中A和D是方阵)在条件A~πAB=0,A^DABC=0下的Drazin逆表达式和具体的数值例子;给出三角块矩阵M=(A BC0),在条件A~πAB=0,A^DABC=0下的Drazin逆表达式。Based on the Drazin inverse of sum of two matrices, the expression for the Drazin inverse of 2 × 2block matrix M =（A C B D）（ A and D are square matrix） having generalized Schur complement S = D - CADB being zero is given under conditions A π AB = 0 and A D ABC = 0. Specific numerical example is presented. The expression for the Drazin inverse of triangular block matrix M =（A C B O）（ A is square matrix） is obtained under conditions Aπ AB = 0 and A D ABC = 0.

关 键 词：分块矩阵 DRAZIN逆 SCHUR补 指标 

分 类 号：O15[理学—数学]