A structure preserving flow for computing Hamiltonian matrix exponential

Yueh Cheng Kuo, Wen Wei Lin, Shih Feng Shieh

Research output: Contribution to journalArticle

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
Pages (from-to)555-582
Number of pages28
JournalNumerische Mathematik
Volume143
Issue number3
DOIs
Publication statusPublished - 2019 Nov 1

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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