# A structure preserving flow for computing Hamiltonian matrix exponential

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

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## 摘要

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.

原文 英語 555-582 28 Numerische Mathematik 143 3 https://doi.org/10.1007/s00211-019-01065-3 已發佈 - 2019 十一月 1

• 計算數學
• 應用數學