The Characterizations of WG Matrix and Its Generalized Cayley-Hamilton Theorem

被引:9
作者
Liu, Na [1 ]
Wang, Hongxing [1 ]
机构
[1] Guangxi Univ Nationalities, Key Lab Complex Syst & Intelligent Comp, Guangxi Higher Sch, Sch Math & Phys, Nanning 530006, Peoples R China
关键词
WEAK GROUP INVERSE; SYSTEMS;
D O I
10.1155/2021/4952943
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Based on the core-EP decomposition, we use the WG inverse, Drazin inverse, and other inverses to give some new characterizations of the WG matrix. Furthermore, we generalize the Cayley-Hamilton theorem for special matrices including the WG matrix. Finally, we give examples to verify these results.
引用
收藏
页数:10
相关论文
共 28 条
[1]   On a generalized core inverse [J].
Baksalary, Oskar Maria ;
Trenkler, Goetz .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 236 :450-457
[2]   Core inverse of matrices [J].
Baksalary, Oskar Maria ;
Trenkler, Goetz .
LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (06) :681-697
[3]  
Campbell SL, 2009, CLASS APPL MATH, V56, P1, DOI 10.1137/1.9780898719048
[4]   THE GENERALIZED CAYLEY-HAMILTON THEOREM FOR STANDARD PENCILS [J].
CHANG, FR ;
CHEN, HC .
SYSTEMS & CONTROL LETTERS, 1992, 18 (03) :179-182
[5]   REPRESENTATIONS OF THE MOORE-PENROSE INVERSE OF 2 X 2 BLOCK OPERATOR VALUED MATRICES [J].
Deng, Chun Yuan ;
Du, Hong Ke .
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (06) :1139-1150
[6]   A weak group inverse for rectangular matrices [J].
Ferreyra, D. E. ;
Orquera, V. ;
Thome, N. .
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (04) :3727-3740
[7]   Characterizations of k-commutative equalities for some outer generalized inverses [J].
Ferreyra, D. E. ;
Levis, F. E. ;
Thome, N. .
LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (01) :177-192
[8]  
Horn R. A., 2012, Matrix Analysis, DOI DOI 10.1017/CBO9781139020411
[9]   Revisiting of the BT-inverse of matrices [J].
Jiang, Wanlin ;
Zuo, Kezheng .
AIMS MATHEMATICS, 2021, 6 (03) :2607-2622
[10]  
Kaczorek T., 1998, Applied Mathematics and Computer Science, V8, P511