A best upper bound for the 2-norm condition number of a matrix

DOI10.1016/S0024-3795(96)00474-0zbMath0877.15006MaRDI QIDQ677922

Uoti Urpala, Frank Uhlig, Ari Virtanen, Tin-Yau Tam, Jorma Kaarlo Merikoski

Publication date: 16 April 1997

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

zbMATH Keywords

singular valuesbest upper bound2-norm condition number

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Conditioning of matrices (15A12)

Related Items

Optimizing and Factorizing the Wilson Matrix, Bounds for eigenvalues using the trace and determinant, Constrained Candecomp/Parafac via the Lasso, Further bounds for the smallest singular value and the spectral condition number, Geometrical properties of the Frobenius condition number for positive definite matrices, Inclusion sets for singular values, Estimates of the spectral condition number

Uses Software

• mctoolbox

Cites Work

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• On Pre-Conditioning of Matrices
• A Simple Estimate of the Condition Number of a Linear System