Dempster-Shafer evidential theory for the automated selection of parameters for Talbot's method contours and application to matrix exponentiation

DOI10.1016/j.camwa.2012.03.041zbMath1247.65158OpenAlexW1987922979MaRDI QIDQ453898

Paul Dostert, Moysey Brio, Jon Cain, Patrick O. Kano

Publication date: 30 September 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.03.041

zbMATH Keywords

random matricesmatrix exponential\texttt{MATLAB}Dempster-Shafer evidential theorynumerical Laplace transform inversionTalbot's method

Mathematics Subject Classification ID

Laplace transform (44A10) Numerical methods for integral transforms (65R10) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items

Algorithm 944

Uses Software

• Matlab
• CUDA
• Algorithm 682
• LaplaceAndzTransform

Cites Work

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• Application of Post's formula to optical pulse propagation in dispersive media
• Talbot quadratures and rational approximations
• Classic works on the Dempster-Shafer theory of belief functions
• Application of Weeks method for the numerical inversion of the Laplace transform to the matrix exponential
• Parabolic and hyperbolic contours for computing the Bromwich integral
• The Accurate Numerical Inversion of Laplace Transforms
• On the numerical inversion of Laplace transforms
• Algorithm 682: Talbot's method of the Laplace inversion problems
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Algorithms for Parameter Selection in the Weeks Method for Inverting the Laplace Transform
• Optimizing Talbot’s Contours for the Inversion of the Laplace Transform