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Optimal Gersgorin-style estimation of extremal singular values

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Publication:556875
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DOI10.1016/j.laa.2005.01.024zbMath1128.15302OpenAlexW2082767792MaRDI QIDQ556875

Charles R. Johnson, Tomasz Szulc, Dominika Wojtera-Tyrakowska

Publication date: 23 June 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2005.01.024

zbMATH Keywords

\(M\)-matrix\(H\)-matrixGersgorin theoremSingular values


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)


Related Items

New lower bounds on the minimum singular value of a matrix, Optimal Gersgorin-style estimation of the largest singular value. II



Cites Work

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  • A Gershgorin-type lower bound for the smallest singular value
  • On the comparison of H-matrices with M-matrices
  • Further lower bounds for the smallest singular value
  • Matrix Analysis
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