# 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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