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Linear Algebra and its Applications
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On monotonic and orthant monotonic norms

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1984 English Publisher:Elsevier BVJournal:Linear Algebra and its Applications, volume 56, pages 169-175 (issn: 0024-3795, Copyright policy )
Authors: Massoud Malek;

doi: 10.1016/0024-3795(84)90122-8

On monotonic and orthant monotonic norms

Abstract

AbstractThis paper gives a characterization of real vector norms with respect to the interval [ −1,1].

Related Organizations
Keywords

Numerical Analysis, Algebra and Number Theory, monotonic norms, diagonal matrices, Norms of matrices, numerical range, applications of functional analysis to matrix theory, lub-norm, Discrete Mathematics and Combinatorics, orthant monotonic norms, Geometry and Topology

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citations
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!
1
Average
Average
Average
hybrid