Note on the core matrix partial ordering
Jacek Mielniczuk
Discussiones Mathematicae Probability and Statistics, Tome 31 (2011), p. 71-75 / Harvested from The Polish Digital Mathematics Library

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

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:277053
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1134,
     author = {Jacek Mielniczuk},
     title = {Note on the core matrix partial ordering},
     journal = {Discussiones Mathematicae Probability and Statistics},
     volume = {31},
     year = {2011},
     pages = {71-75},
     zbl = {1260.15006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1134}
}
Jacek Mielniczuk. Note on the core matrix partial ordering. Discussiones Mathematicae Probability and Statistics, Tome 31 (2011) pp. 71-75. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1134/

[000] [1] J.K. Baksalary and S.K. Mitra, Left-star and right-star partial orderings, Linear Algebra Applications 149 (1991) 73-89. | Zbl 0717.15004

[001] [2] O.M. Baksalary and G. Trenkler, Core inverse of matrices, Linear and Multilinear Algebra 58 (2010) 681-697. | Zbl 1202.15009

[002] [3] D.S. Bernstein, Matrix Mathematics: Theory, Facts and Formulas (Princeton University Press, 2009). | Zbl 1183.15001

[003] [4] S.K. Mitra, P. Bhimasankaram and S.B. Malik, Matrix Partial Orders, Shorted Operators and Applications (World Scientific, 2010). | Zbl 1203.15023

[004] [5] C.R. Rao and S.K. Mitra, Generalized Inverse of Matrices and its Applications (Wiley, 1971). | Zbl 0236.15004