Note on the core matrix partial ordering

• Autorzy: Jacek Mielniczuk
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

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

Kategorie tematyczne

• 15A09: Matrix inversion, generalized inverses
• 15A45: Miscellaneous inequalities involving matrices

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae Probability and Statistics
• Rocznik: 2011
• Tom: 31
• Numer: 1-2
• Strony: 71-75

Daty

wydano

2011

otrzymano

2011-05-19

Twórcy

autor

Jacek Mielniczuk

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

Bibliografia

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

Identyfikatory

DOI

10.7151/dmps.1134