Some simple estimates for singular values of a matrix

DOI10.1016/0024-3795(84)90117-4zbMath0525.15009OpenAlexW1964694549WikidataQ127740508 ScholiaQ127740508MaRDI QIDQ594162

Liqun Qi

Publication date: 1984

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

Full work available at URL: http://digital.library.wisc.edu/1793/58382

zbMATH Keywords

Gauss eliminationscalingsingular valuesinclusion theoremsGerschgorin theoremestimation theoremsperturbation theory for singular values

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) 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) Numerical computation of matrix norms, conditioning, scaling (65F35)

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Cites Work

• Minimal Gerschgorin sets
• Minimal Gerschgorin sets. II
• Minimal Gerschgorin sets. III
• Calculating the Singular Values and Pseudo-Inverse of a Matrix
• Minimal Gerschgorin Sets for Partitioned Matrices
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