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ArticleOriginal scientific text

Title

On orderings induced by the Loewner partial ordering

Authors 1, 1

Affiliations

  1. Department of Mathematical and Statistical Methods, Agricultural University of Poznań, ul. Wojska Polskiego 28, 60-637 Poznań, Poland

Abstract

The partial ordering induced by the Loewner partial ordering on the convex cone comprising all matrices which multiplied by a given positive definite matrix become nonnegative definite is considered. Its relation to orderings which are induced by the Loewner partial ordering of the squares of matrices is presented. Some extensions of the latter orderings and their comparison to star orderings are given.

Keywords

ENG
star ordering, Loewner ordering, spectral radius, matrix norm

Bibliography

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Applicationes Mathematicae
1993-1995/22/2
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Pages:
145-154
Main language of publication
English
Received
1992-05-13
Accepted
1993-09-06
Published
1994
Exact and natural sciences