Drazin-Star and Star-Drazin Matrices

被引：16
作者：
Mosic, Dijana [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia
来源：
RESULTS IN MATHEMATICS | 2020年 / 75卷 / 02期
关键词：
Drazin inverse; DMP inverse; outer inverse; projector; index; GENERALIZED INVERSE; GDMP INVERSE; CORE INVERSE; DMP INVERSE; REPRESENTATION; OPERATORS; INDEX;
D O I：
10.1007/s00025-020-01191-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to introduce two new classes of square matrices, which are called the Drazin-star and star-Drazin matrices, in order to solve some type of matrix equations. Several characterizations of these new matrices are given. Some relations between various well-known generalized inverses and the Drazin-star and star-Drazin matrices are investigated. We present the integral representations, the limit representations and representations based on the full-rank decomposition for the Drazin-star and star-Drazin matrices. Applying these results for a square matrix of index one, we define and study the group-star and star-group matrices.
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页数：21
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