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Article . 1972
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Proceedings of the American Mathematical Society
Article . 1972 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1972 . Peer-reviewed
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Monotonicity of Positive Semidefinite Hermitian Matrices

Monotonicity of positive semidefintie Hermitian matrices
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Feb 1972Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 31, page 437 (issn: 0002-9939, Copyright policy )
Authors: Merris, R.; Pierce, Stephen;

doi: 10.2307/2037548 , 10.1090/s0002-9939-1972-0285556-7

Monotonicity of Positive Semidefinite Hermitian Matrices

Abstract

Inequalities which compare elements of the convex cone of positive semidefinite hermitian matrices with products of roots of elements are proved. They yield inequalities for Schur functions (generalized matrix functions) which, when specialized to the determinant, give a result of R. Bellman and L. Mirsky.

Keywords

Hermitian, skew-Hermitian, and related matrices

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Average
Top 10%
Average
bronze