Equality conditions for lower bounds on the smallest singular value of a bidiagonal matrix

DOI10.1016/j.amc.2007.11.005zbMath1153.15312OpenAlexW1976940336MaRDI QIDQ929440

Yusaku Yamamoto

Publication date: 17 June 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.11.005

zbMATH Keywords

singular valueslower boundsdqds algorithmbidiagonal matrixequality conditions

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Cites Work

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• A Gershgorin-type lower bound for the smallest singular value
• Accurate computation of singular values in terms of shifted integrable schemes
• Accurate singular values and differential qd algorithms
• Further lower bounds for the smallest singular value
• On Convergence of the DQDS Algorithm for Singular Value Computation
• Matrix Analysis
• Lower bounds for the smallest singular value