On-the-fly backward error estimate for matrix exponential approximation by Taylor algorithm
type: Item
instance of: scholarly article
title: On-the-fly backward error estimate for matrix exponential approximation by Taylor algorithm
zbMATH Open document ID: 1452.65082
published in: Journal of Computational and Applied Mathematics
publication date: 2018-11-16T00:00:00Z
Mathematics Subject Classification ID: 65F60
Mathematics Subject Classification ID: 15A16
zbMATH DE Number: 6980367
zbMATH Keywords: backward error estimate for the matrix exponential
zbMATH Keywords: overscaling
zbMATH Keywords: multiple precision floating point computation
zbMATH Keywords: scaling and squaring algorithm
zbMATH Keywords: truncated Taylor series
zbMATH Keywords: Krylov methods
Wikidata QID: Q115581059
author: M. Caliari
author: Franco Zivcovich
describes a project that uses: Matlab
describes a project that uses: mctoolbox
describes a project that uses: MATLAB expm
MaRDI profile type: Publication
full work available at URL: j.cam.2018.07.042
OpenAlex ID: W2886775180
cites work: Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
cites work: The Scaling and Squaring Method for the Matrix Exponential Revisited
cites work: A New Scaling and Squaring Algorithm for the Matrix Exponential
cites work: Functions of Matrices
cites work: High performance computing of the matrix exponential
cites work: Accurate matrix exponential computation to solve coupled differential models in engineering
cites work: Efficient orthogonal matrix polynomial based method for computing matrix exponential
cites work: New Scaling-Squaring Taylor Algorithms for Computing the Matrix Exponential
cites work: Accurate and efficient matrix exponential computation
cites work: Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
cites work: The Leja method revisited: backward error analysis for the matrix exponential
cites work: Backward error analysis of polynomial approximations for computing the action of the matrix exponential
cites work: A note on the evaluation of matrix polynomials
cites work: A Schur--Fréchet Algorithm for Computing the Logarithm and Exponential of a Matrix
cites work: On the algorithm by Al-Mohy and Higham for computing the action of the matrix exponential: a posteriori roundoff error estimation
cites work: A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra
cites work: Accurate Computation of Divided Differences of the Exponential Function
cites work: Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
DOI: 10.1016/J.CAM.2018.07.042
description: scientific article; zbMATH DE number 6980367