Estimation of \(\| A ^{-1} \|_\infty \) and the smallest singular value

DOI10.1016/j.camwa.2007.04.036zbMath1147.65036OpenAlexW1997340078MaRDI QIDQ931734

Ting-Zhu Huang

Publication date: 26 June 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.04.036

zbMATH Keywords

normnumerical examples\(H\)-matrixsingular value

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (8)

New error bounds for linear complementarity problems for \(B^S\)-matrices ⋮ Infinity norm bounds for the inverse for \(\mathrm{GSDD}_1\) matrices using scaling matrices ⋮ Schur complement-based infinity norm bounds for the inverse of \(DSDD\) matrices ⋮ Bounds for the infinity norm of the inverse for certain \(M\)- and \(H\)-matrices ⋮ Some new results on determinantal inequalities and applications ⋮ Schur complement-based infinity norm bounds for the inverse of SDD matrices ⋮ Estimation of the eigenvalues and the smallest singular value of matrices ⋮ Linear system based approach for solving some related problems of \(M\)-matrices

Cites Work

• A Gershgorin-type lower bound for the smallest singular value
• A lower bound for the smallest singular value of a matrix
• Further lower bounds for the smallest singular value
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