Note on the core matrix partial ordering

Jacek Mielniczuk

ArticleOriginal scientific text

Title

Note on the core matrix partial ordering

Authors ¹

Affiliations

Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, Akademicka 13, 20-950 Lublin, Poland

Abstract

Complementing the work of Baksalary and Trenkler [2], we announce some results characterizing the core matrix partial ordering.

Keywords

ENG

core inverse, core partial ordering, generalized inverse, group inverse, left star partial ordering, minus partial ordering, Moore-Penrose inverse, right sharp partial ordering

J.K. Baksalary and S.K. Mitra, Left-star and right-star partial orderings, Linear Algebra Applications 149 (1991) 73-89.
O.M. Baksalary and G. Trenkler, Core inverse of matrices, Linear and Multilinear Algebra 58 (2010) 681-697.
D.S. Bernstein, Matrix Mathematics: Theory, Facts and Formulas (Princeton University Press, 2009).
S.K. Mitra, P. Bhimasankaram and S.B. Malik, Matrix Partial Orders, Shorted Operators and Applications (World Scientific, 2010).
C.R. Rao and S.K. Mitra, Generalized Inverse of Matrices and its Applications (Wiley, 1971).

Title

Note on the core matrix partial ordering

Affiliations

Abstract

Keywords

Bibliography