arXiv Open Access 2023

Parallel approximation of the exponential of Hermitian matrices

Frédéric Hecht Sidi-Mahmoud Kaber Lucas Perrin Alain Plagne Julien Salomon

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Abstrak

In this work, we consider a rational approximation of the exponential function to design an algorithm for computing matrix exponential in the Hermitian case. Using partial fraction decomposition, we obtain a parallelizable method, where the computation reduces to independent resolutions of linear systems. We analyze the effects of rounding errors on the accuracy of our algorithm. We complete this work with numerical tests showing the efficiency of our method and a comparison of its performances with Krylov algorithms.

Topik & Kata Kunci

cs.DC math.NA

Penulis (5)

Frédéric Hecht

Sidi-Mahmoud Kaber

Lucas Perrin

Alain Plagne

Julien Salomon

Format Sitasi

APA MLA BibTeX

Hecht, F., Kaber, S., Perrin, L., Plagne, A., Salomon, J. (2023). Parallel approximation of the exponential of Hermitian matrices. https://arxiv.org/abs/2306.16778

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓