# Aggressively Truncated Taylor Series Method for Accurate Computation of Exponentials of Essentially Nonnegative Matrices

@article{Shao2014AggressivelyTT,
title={Aggressively Truncated Taylor Series Method for Accurate Computation of Exponentials of Essentially Nonnegative Matrices},
author={Meiyue Shao and Weiguo Gao and Jungong Xue},
journal={SIAM J. Matrix Anal. Appl.},
year={2014},
volume={35},
pages={317-338}
}
• Published 1 April 2014
• Mathematics
• SIAM J. Matrix Anal. Appl.
Small relative perturbations to the entries of an essentially nonnegative matrix introduce small relative errors to entries of its exponential. It is thus desirable to compute the exponential with high componentwise relative accuracy. Taylor series approximation coupled with scaling and squaring is used to compute the exponential of an essentially nonnegative matrix. An a priori componentwise relative error bound of truncation is established, from which one can choose the degree of Taylor…

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