Note on the core matrix partial ordering
Discussiones Mathematicae Probability and Statistics (2011)
- Volume: 31, Issue: 1-2, page 71-75
 - ISSN: 1509-9423
 
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topJacek Mielniczuk. "Note on the core matrix partial ordering." Discussiones Mathematicae Probability and Statistics 31.1-2 (2011): 71-75. <http://eudml.org/doc/277053>.
@article{JacekMielniczuk2011,
	abstract = {Complementing the work of Baksalary and Trenkler [2], we announce some results characterizing the core matrix partial ordering.},
	author = {Jacek Mielniczuk},
	journal = {Discussiones Mathematicae Probability and Statistics},
	keywords = {core inverse; core partial ordering; generalized inverse; group inverse; left star partial ordering; minus partial ordering; Moore-Penrose inverse; right sharp partial ordering},
	language = {eng},
	number = {1-2},
	pages = {71-75},
	title = {Note on the core matrix partial ordering},
	url = {http://eudml.org/doc/277053},
	volume = {31},
	year = {2011},
}
TY  - JOUR
AU  - Jacek Mielniczuk
TI  - Note on the core matrix partial ordering
JO  - Discussiones Mathematicae Probability and Statistics
PY  - 2011
VL  - 31
IS  - 1-2
SP  - 71
EP  - 75
AB  - Complementing the work of Baksalary and Trenkler [2], we announce some results characterizing the core matrix partial ordering.
LA  - eng
KW  - core inverse; core partial ordering; generalized inverse; group inverse; left star partial ordering; minus partial ordering; Moore-Penrose inverse; right sharp partial ordering
UR  - http://eudml.org/doc/277053
ER  - 
References
top- [1] J.K. Baksalary and S.K. Mitra, Left-star and right-star partial orderings, Linear Algebra Applications 149 (1991) 73-89. Zbl0717.15004
 - [2] O.M. Baksalary and G. Trenkler, Core inverse of matrices, Linear and Multilinear Algebra 58 (2010) 681-697. Zbl1202.15009
 - [3] D.S. Bernstein, Matrix Mathematics: Theory, Facts and Formulas (Princeton University Press, 2009). Zbl1183.15001
 - [4] S.K. Mitra, P. Bhimasankaram and S.B. Malik, Matrix Partial Orders, Shorted Operators and Applications (World Scientific, 2010). Zbl1203.15023
 - [5] C.R. Rao and S.K. Mitra, Generalized Inverse of Matrices and its Applications (Wiley, 1971). Zbl0236.15004
 
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