Eventually SDD matrices and eigenvalue localization

Several classes of eventually strictly diagonally dominant matrices are introduced. They are formed by nonsingular matrices and they are applied to eigenvalue localization and max norm estimation for the inverse of a given matrix.

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Bibliographic Details
Published in:Applied mathematics and computation 2015-02, Vol.252, p.535-540
Main Authors: Cvetkovic, Lj, Eric, M, Pena, J M
Format: Article
Language:English
Subjects:
Eigenvalues
Eventually nonnegative matrices
Inverse
Localization
Mathematical analysis
Mathematical models
Matrices (mathematics)
Matrix methods
Norm bounds
Norms
Position (location)
Strict diagonal dominance
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Description
Summary:Several classes of eventually strictly diagonally dominant matrices are introduced. They are formed by nonsingular matrices and they are applied to eigenvalue localization and max norm estimation for the inverse of a given matrix.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.12.012