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Linear Algebra and its Applications
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Preprint . 2007
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Multiple eigenvalues

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2008Embargo end date: 01 Jan 2007 English Publisher:Elsevier BVJournal:Linear Algebra and its Applications, volume 429, pages 2,209-2,220 (issn: 0024-3795, Copyright policy )
Authors: Keller, Joseph B.;

doi: 10.1016/j.laa.2008.06.022 , 10.48550/arxiv.0711.3948

arXiv: http://arxiv.org/abs/0711.3948

Multiple eigenvalues

Abstract

The dimensions of sets of matrices of various types, with specified eigenvalue multiplicities, are determined. The dimensions of the sets of matrices with given Jordan form and with given singular value multiplicities are also found. Each corresponding codimension is the number of conditions which a matrix of the given type must satisfy in order to have the specified multiplicities.

19 pages, 1 figure, 2 tables

Related Organizations
Keywords

Numerical Analysis, Algebra and Number Theory, 15A18, Multiple eigenvalues, Singular value decomposition, Jordan form, Numerical Analysis (math.NA), Conditions on matrices, Dimensions of sets of matrices, FOS: Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematics - Numerical Analysis

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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).
    		 9
    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.
    		 Top 10%
    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
9
Top 10%
Average
Average
Green
hybrid