The Componentwise Structured and Unstructured Backward Errors Can be Arbitrarily Far Apart

DOI10.1137/140985500zbMath1328.65104OpenAlexW1964831956MaRDI QIDQ5254382

Siegfried Michael Rump

Publication date: 9 June 2015

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/81514b99fad1f6c09170f1d18f34e9788c40efbf

zbMATH Keywords

structured perturbationsbackward errorOettli-PragerRigal-Gaches

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (2)

On the Symmetric Componentwise Relative Backward Error for Linear Systems of Equations ⋮ Structured backward error analysis for generalized saddle point problems

Uses Software

• mctoolbox

Cites Work

• Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications

This page was built for publication: The Componentwise Structured and Unstructured Backward Errors Can be Arbitrarily Far Apart