A structure preserving flow for computing Hamiltonian matrix exponential

Yueh Cheng Kuo*, Wen-Wei Lin, Shih Feng Shieh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This article focuses on computing Hamiltonian matrix exponential. Given a Hamiltonian matrix H, it is well-known that the matrix exponential eH is a symplectic matrix and its eigenvalues form reciprocal (λ, 1 / λ¯). It is important to take care of the symplectic structure for computing eH. Based on the structure-preserving flow proposed by Kuo et al. (SIAM J Matrix Anal Appl 37:976–1001, 2016), we develop a numerical method for computing the symplectic matrix pair (M, L) which represents eH.

Original languageEnglish
JournalNumerische Mathematik
DOIs
StateAccepted/In press - 1 Jan 2019

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