High performance computing of the matrix exponential

DOI10.1016/j.cam.2015.04.001zbMath1329.65092OpenAlexW1985626992MaRDI QIDQ491053

Emilio Defez, Jorge Sastre, Jacinto-Javier Ibáñez, Pedro A. Ruiz

Publication date: 24 August 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.04.001

zbMATH Keywords

Taylor seriesmatrix exponentialscaling and squaring

Mathematics Subject Classification ID

Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (14)

On-the-fly backward error estimate for matrix exponential approximation by Taylor algorithm ⋮ Efficient and accurate algorithms for computing matrix trigonometric functions ⋮ Method for calculating multiwave scattering by layered anisotropic media ⋮ New Hermite series expansion for computing the matrix hyperbolic cosine ⋮ Efficient evaluation of matrix polynomials ⋮ Fast Taylor polynomial evaluation for the computation of the matrix cosine ⋮ Euler polynomials for the matrix exponential approximation ⋮ Editorial: Mathematical modeling and computational methods ⋮ Two algorithms for computing the matrix cosine function ⋮ A new efficient and accurate spline algorithm for the matrix exponential computation ⋮ An efficient and accurate algorithm for computing the matrix cosine based on new Hermite approximations ⋮ Boosting the computation of the matrix exponential ⋮ On Bernoulli matrix polynomials and matrix exponential approximation ⋮ High-Performance Computation of the Exponential of a Large Sparse Matrix

Uses Software

• Matlab
• mctoolbox
• MATLAB expm
• mftoolbox

Cites Work

• Accurate matrix exponential computation to solve coupled differential models in engineering
• Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
• A New Scaling and Squaring Algorithm for the Matrix Exponential
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra
• Accurate and efficient matrix exponential computation
• New Scaling-Squaring Taylor Algorithms for Computing the Matrix Exponential
• The Scaling and Squaring Method for the Matrix Exponential Revisited
• Functions of Matrices

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