Latest Article
Revisitation of the Core Inverse
LUO Gaojun, ZUO Kezheng†, ZHOU Liang
School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, Hubei, China
Omitted due to Web technical issue.
Key words:core inverse; Moore-Penrose inverse; group inverse; generalized inverse
CLC number:O151.2
[1]	Baksalary O M, Trenkler G. Revisitation of the product of two orthogonal projectors [J]. Linear Algebra Appl, 2009, 430: 2813-2833.
[2]	Hartwig R E, Spindelböck K. Matrices for which   and   commute [J]. Linear Multilinear Algebra, 1984, 14: 241-256.
[3]	Mitra S K. Noncore square matrices miscellany [J]. Linear Algebra Appl, 1996, 249: 47-66.
[4]	Baksalary O M, Trenkler G. Core inverse of matrices [J]. Linear Multilinear Algebra, 2010, 58: 681-697.
[5]	Baksalary O M, Styan G P H, Trenkler G. On a matrix de-composition of Hartwig and Spindelböck [J]. Linear Algebra Appl, 2009, 430(10): 2798-2812.
[6]	Wang H, Liu X. Characterizations of the core inverse and the core partial ordering [J]. Linear Multilinear Algebra, 2015, 63(9): 1829-1836.
[7]	Luo G J, Zuo K Z, Zhou L. The new proterties of core in-verse of matrices [J]. Journal of Shandong University, 2015, (4): 90-94(Ch).
[8]	Malik S B. Some more properties of core partial order [J]. Appl Math Comput, 2013, 221: 192-201.
[9]	Malik S B, Rueda L,Thome N. Further properties on core partial order and other matrix partial orders [J]. Linear Mul-tilinear Algebra, 2014, 62: 1629-1648.
[10]	Rakić D S, Dinčić N Č, Djordjević D S. Core inverse and core partial order of Hilbert space operators [J]. Appl Math Comput, 2014, 244: 283-302.
[11]	Rakić D S, Dinčić N Č, Djordjević D S. Group, Moore-Penrose, core and dual core inverse in rings with in-volution[J]. Linear Algebra Appl, 2014, 463: 115-133.
[12]	Baksalary O M, Trenkler G . On a generalized core in-verse[J]. Appl Math Comput, 2014, 236: 450-457.
[13]	Prasad K M, Mohana K S. Core-EP inverse [J]. Linear Mul-tilinear Algebra, 2014, 62: 792-802.
[14]	Ben-Israel A, Greville T N E. Generalized Inverses: Theory and Applications [M]. New York: Wiley Press, 1974.
[15]	Wang G, Wei Y, Qiao S. Generalized Inverses:Theory and Computations [M]. Beijing: Science Press, 2004(Ch).