Experience with a Matrix Norm Estimator

DOI10.1137/0911047zbMath0752.65036OpenAlexW2165768723WikidataQ56999033 ScholiaQ56999033MaRDI QIDQ4713083

Nicholas J. Higham

Publication date: 25 June 1992

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: http://eprints.maths.manchester.ac.uk/339/1/0911047.pdf

zbMATH Keywords

condition number estimationmatrix 1-normnorm estimation algorithm

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (14)

Perturbation theory and backward error for \(AX - XB = C\) ⋮ The matrix sign decomposition and its relation to the polar decomposition ⋮ Methods and algorithms of solving spectral problems for polynomial and rational matrices ⋮ On the estimation of numerical error bounds in linear algebra based on discrete stochastic arithmetic ⋮ Componentwise perturbation theory for linear systems with multiple right- hand sides ⋮ Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations ⋮ Condition numbers for a linear function of the solution of the linear least squares problem with equality constraints ⋮ Structured condition numbers of structured Tikhonov regularization problem and their estimations ⋮ The global convergence of the nonlinear power method for mixed-subordinate matrix norms ⋮ Estimating the Largest Elements of a Matrix ⋮ Subspace Iteration Randomization and Singular Value Problems ⋮ Numerical methods and questions in the organization of calculus. XII. Transl. from the Russian ⋮ Estimating the matrix \(p\)-norm ⋮ An alternative algorithm for a sliding window ULV decomposition

This page was built for publication: Experience with a Matrix Norm Estimator