Accurate matrix exponential computation to solve coupled differential models in engineering

DOI10.1016/j.mcm.2010.12.049zbMath1235.65042OpenAlexW2097466664MaRDI QIDQ409808

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

Publication date: 15 April 2012

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/39666

zbMATH Keywords

Taylor seriesmatrix exponentialscaling and squaring

Mathematics Subject Classification ID

Matrix exponential and similar functions of matrices (15A16) 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 ⋮ Efficient mixed rational and polynomial approximation of matrix functions ⋮ Fast Taylor polynomial evaluation for the computation of the matrix cosine ⋮ Efficient computation of the matrix cosine ⋮ High performance computing of the matrix exponential ⋮ A new efficient and accurate spline algorithm for the matrix exponential computation ⋮ Boosting the computation of the matrix exponential ⋮ Solving engineering models using hyperbolic matrix functions ⋮ Accurate and efficient matrix exponential computation ⋮ On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions ⋮ A Rodrigues-type formula for Gegenbauer matrix polynomials ⋮ High-Performance Computation of the Exponential of a Large Sparse Matrix ⋮ On the hyperbolic Horadam matrix functions

Uses Software

• mctoolbox
• MATLAB expm
• mftoolbox

Cites Work

• Efficient orthogonal matrix polynomial based method for computing matrix exponential
• 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
• Accuracy and Stability of Numerical Algorithms
• The Scaling and Squaring Method for the Matrix Exponential Revisited
• Functions of Matrices
• Benchmarking optimization software with performance profiles.

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