On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions
type: Item
instance of: scholarly article
title: On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions
zbMATH Open document ID: 1502.65022
author: J. Sastre
author: J. Ibáñez
published in: Journal of Computational and Applied Mathematics
publication date: 2022-10-06T00:00:00Z
Mathematics Subject Classification ID: 65F60
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 15A16
Mathematics Subject Classification ID: 26C15
Mathematics Subject Classification ID: 41-04
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 7596884
zbMATH Keywords: function approximation
zbMATH Keywords: forward error
zbMATH Keywords: backward error
zbMATH Keywords: Taylor series
zbMATH Keywords: Padé approximation
zbMATH Keywords: matrix functions
describes a project that uses: LAPACK
describes a project that uses: mctoolbox
describes a project that uses: mftoolbox
describes a project that uses: testmatrix
describes a project that uses: MATLAB expm
describes a project that uses: SONEST
describes a project that uses: CONEST
MaRDI profile type: Publication
full work available at URL: j.cam.2022.114706
OpenAlex ID: W4292263693
Wikidata QID: Q113878678
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: Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm
cites work: New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously
cites work: Computing the Wave-Kernel Matrix Functions
cites work: New Scaling-Squaring Taylor Algorithms for Computing the Matrix Exponential
cites work: Accurate matrix exponential computation to solve coupled differential models in engineering
cites work: Two algorithms for computing the matrix cosine function
cites work: Boosting the computation of the matrix exponential
cites work: Fast Taylor polynomial evaluation for the computation of the matrix cosine
cites work: On-the-fly backward error estimate for matrix exponential approximation by Taylor algorithm
cites work: Efficient orthogonal matrix polynomial based method for computing matrix exponential
cites work: Functions of Matrices
cites work: Rational approximations of trigonometric matrices with application to second-order systems of differential equations
cites work: Efficient algorithms for the matrix cosine and sine
cites work: Efficient evaluation of matrix polynomials
cites work: On the Number of Nonscalar Multiplications Necessary to Evaluate Polynomials
cites work: Q5689624
cites work: Accuracy and Stability of Numerical Algorithms
cites work: Efficient computation of the matrix cosine
cites work: FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation
cites work: Approximate Diagonalization
DOI: 10.1016/J.CAM.2022.114706
description: scientific article; zbMATH DE number 7596884