On orderings induced by the Loewner partial ordering

• Autorzy: Jan Hauke , Augustyn Markiewicz
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

star ordering; Loewner ordering; spectral radius; matrix norm

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1993-1995
• Tom: 22
• Numer: 2
• Strony: 145-154

Daty

wydano

1994

otrzymano

1992-05-13

poprawiono

1993-09-06

Twórcy

autor

Jan Hauke

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

autor

Augustyn Markiewicz

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

Bibliografia

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