Inclusion sets for the singular values of a rectangular matrix

DOI10.1007/s10958-009-9355-9zbMath1177.15023OpenAlexW2021919072MaRDI QIDQ1036986

L. Yu. Kolotilina

Publication date: 13 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9355-9

zbMATH Keywords

singular valuesrectangular matrixGerschgorin theoreminclusion setseigenvalue location

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

• Some simple estimates for singular values of a matrix
• A Gershgorin-type lower bound for the smallest singular value
• The undirected graph and estimates of matrix singular values
• Further lower bounds for the smallest singular value
• Inclusion intervals of singular values and applications
• Digraphs and inclusion intervals of Brualdi-type for singular values
• Estimation for matrix singular values
• Inclusion sets for singular values
• Optimal Gerschgorin-type inclusion intervals of singular values
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