Note on the core matrix partial ordering

Jacek Mielniczuk

Discussiones Mathematicae Probability and Statistics (2011)

  • Volume: 31, Issue: 1-2, page 71-75
  • ISSN: 1509-9423

Abstract

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

How to cite

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Jacek 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

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  1. [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. [2] O.M. Baksalary and G. Trenkler, Core inverse of matrices, Linear and Multilinear Algebra 58 (2010) 681-697. Zbl1202.15009
  3. [3] D.S. Bernstein, Matrix Mathematics: Theory, Facts and Formulas (Princeton University Press, 2009). Zbl1183.15001
  4. [4] S.K. Mitra, P. Bhimasankaram and S.B. Malik, Matrix Partial Orders, Shorted Operators and Applications (World Scientific, 2010). Zbl1203.15023
  5. [5] C.R. Rao and S.K. Mitra, Generalized Inverse of Matrices and its Applications (Wiley, 1971). Zbl0236.15004

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