A structure preserving flow for computing Hamiltonian matrix exponential

dc.citation.epage	582	en_US
dc.citation.issue	3	en_US
dc.citation.spage	555	en_US
dc.citation.volume	143	en_US
dc.citation.woscount	0	en_US
dc.contributor.author	Kuo, Yueh-Cheng	en_US
dc.contributor.author	Lin, Wen-Wei	en_US
dc.contributor.author	Shieh, Shih-Feng	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.date.accessioned	2019-12-13T01:09:57Z
dc.date.available	2019-12-13T01:09:57Z
dc.date.issued	2019-11-01	en_US
dc.description.abstract	This article focuses on computing Hamiltonian matrix exponential. Given a Hamiltonian matrix H, it is well-known that the matrix exponential e(H) is a symplectic matrix and its eigenvalues form reciprocal (lambda, 1/(lambda) over bar). It is important to take care of the symplectic structure for computing e(H). 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 e(H).	en_US
dc.identifier.doi	10.1007/s00211-019-01065-3	en_US
dc.identifier.issn	0029-599X	en_US
dc.identifier.journal	NUMERISCHE MATHEMATIK	en_US
dc.identifier.uri	http://dx.doi.org/10.1007/s00211-019-01065-3	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/153040
dc.identifier.wosnumber	WOS:000491060000002	en_US
dc.language.iso	en_US	en_US
dc.title	A structure preserving flow for computing Hamiltonian matrix exponential	en_US
dc.type	Article	en_US

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