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The undirected graph and estimates of matrix singular values

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Publication:1124802
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DOI10.1016/S0024-3795(98)10128-3zbMath0933.15037WikidataQ126421612 ScholiaQ126421612MaRDI QIDQ1124802

Luoluo Li

Publication date: 28 November 1999

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


zbMATH Keywords

estimatessingular valuesundirected graphcolumn sumsabsolute row sums


Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42)


Related Items (8)

A note on inclusion intervals of matrix singular values ⋮ The digraphs and inclusion intervals of matrix singular values ⋮ Inclusion sets for singular values ⋮ Inclusion intervals of singular values and applications ⋮ Inclusion sets for the singular values of a square matrix ⋮ On circuit inclusion sets for the singular values of a square matrix ⋮ Inclusion sets for the singular values of a rectangular matrix ⋮ Digraphs and inclusion intervals of Brualdi-type for singular values



Cites Work

  • Some simple estimates for singular values of a matrix
  • A Gershgorin-type lower bound for the smallest singular value
  • Matrix Analysis


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