Further bounds for the smallest singular value and the spectral condition number

DOI10.1016/S0898-1221(99)00252-7zbMath0947.15012OpenAlexW2086822646MaRDI QIDQ1972510

Oscar Rojo

Publication date: 1 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00252-7

zbMATH Keywords

singular value boundsspectral condition number bounds

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items

Lower bounds for the norms of Cauchy-Toeplitz and Cauchy-Hankel matrices, On the lower bounds for the norms of Cauchy-Toeplitz and Cauchy-Hankel matrices, Bounds for the extremal eigenvalues of a class of symmetric tridiagonal matrices with applications, Some bounds for extreme singular values of a complex matrix, A new subtraction-free formula for lower bounds of the minimal singular value of an upper bidiagonal matrix, Combined matrices and conditioning, Estimates of the spectral condition number

Cites Work

• A note on a lower bound for the smallest singular value
• A best upper bound for the 2-norm condition number of a matrix
• A lower bound for the smallest singular value
• A Simple Estimate of the Condition Number of a Linear System