Minimal properties of the Drazin-inverse solution of a matrix equation

被引：0
|
作者：
Miladinovic, Marko [1 ]
Miljkovic, Sladjana [1 ]
Stanimirovic, Predrag S. [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, Nish, Serbia
来源：
FILOMAT | 2014年 / 28卷 / 02期
关键词：
Drazin inverse; Drazin-inverse solution; generalized inverses; least-squares solutions; matrix equation; CRAMER RULE; SYSTEMS; INDEX;
D O I：
10.2298/FIL1402383M
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present the Drazin-inverse solution of the matrix equation AXB = G as a least-squares solution of a specified minimization problem. Some important properties of the Moore-Penrose inverse are extended on the Drazin inverse by exploring the minimal norm properties of the Drazin-inverse solution of the matrix equation AXB = G. The least squares properties of the Drazin-inverse solution lead to new representations of the Drazin inverse of a given matrix, which are justified by illustrative examples.
引用
收藏
页码：383 / 395
页数：13
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