EIGENVALUE LOCALIZATION REFINEMENTS FOR MATRICES RELATED TO POSITIVITY

Eigenvalue localization results and methods for matrices with constant row or column sum are provided, together with the numerical examples that show the efficiency of the proposed methods. The extension of the results to other classes of matrices is additionally analyzed. [PUBLICATION ABSTRACT]

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Bibliographic Details
Published in:SIAM journal on matrix analysis and applications 2011-07, Vol.32 (3), p.771-784
Main Authors: CVETKOVIC, Lj, KOSTIC, V, PENA, J. M
Format: Article
Language:English
Subjects:
Algebra
Eigenvalues
Exact sciences and technology
Linear and multilinear algebra, matrix theory
Localization
Mathematics
Matrix
Nonlinear algebraic and transcendental equations
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Sciences and techniques of general use
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Description
Summary:Eigenvalue localization results and methods for matrices with constant row or column sum are provided, together with the numerical examples that show the efficiency of the proposed methods. The extension of the results to other classes of matrices is additionally analyzed. [PUBLICATION ABSTRACT]
ISSN:0895-4798
1095-7162
DOI:10.1137/100807077