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A practical method for computing the exponential of a matrix and its integral

โœ Scribed by Westreich, David

Publisher
Wiley (John Wiley & Sons)
Year
1990
Tongue
English
Weight
341 KB
Volume
6
Category
Article
ISSN
0748-8025

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โœฆ Synopsis

A practical algorithm is described for the computation of the transition matrix and its integral of a timeinvariant state-space system. It is based on the partial Taylor expansion of the matrices, and methods for reducing computations and increasing accuracy are given.

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## Abstract We investigate the relative efficiency of thermodynamic integration, three variants of the exponential formula, also referred to as thermodynamic perturbation, and Bennett's acceptance ratio method to compute relative and absolute solvation free energy differences. Our primary goal is t