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On the accuracy of the Gerschgorin circle theorem for bounding the spread of a real symmetric matrix

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Publication:1073873
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DOI10.1016/0024-3795(85)90093-XzbMath0589.15012MaRDI QIDQ1073873

David S. Scott

Publication date: 1985

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


zbMATH Keywords

sparse matrixspreadbanded matrixsymmetric real matricesGerschgorin circle theorem


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42)


Related Items (6)

Bounds for the spectrum of normal matrices ⋮ On the greatest distance between two permanental roots of a matrix ⋮ Lower bounds for the spread of a Hermitian matrix ⋮ Simultaneous triangularization of commuting matrices for the solution of polynomial equations ⋮ Certifiably optimal sparse principal component analysis ⋮ Characterizations and lower bounds for the spread of a normal matrix




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