“Hamiltonian matrix”的意思、由来-开放百科全书

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Hamiltonian matrix

释义

In mathematics, a Hamiltonian matrix is a {{math|2n}}-by//matrix (mathematics)">matrix {{math|A}} such that {{math|JA}} is symmetricby//identity matrix">identity matrix. In other words, {{math|A}} is Hamiltonian if and only if {{math|1 = (JA)^T = JA}} where {{math|()^T}} denotes the transpose.^{[by//block matrix">block matrix}

where {{math|a}}by//#1'>1]body problem | publisher = Springer | year = 1991 | isbn = 0-387-97637-X }}.
3. ^{{citation | first = Alex J. | last = Dragt | doi = 10.1196/annals.1350.025 | title = The symplectic group and classical mechanics | journal = Annals of the New York Academy of Sciences | year = 2005 | volume = 1045 | issue = 1 | pages=291–307 | pmid=15980319}}.
4. ^¹²{{citation | first = William C. | last = Waterhouse | authorlink = William C. Waterhouse | doi = 10.1016/j.laa.2004.10.003 | title = The structure of alternating-Hamiltonian matrices | journal = Linear Algebra and its Applications | volume = 396 | year = 2005 | pages = 385–390 }}.
5. ^{{citation | first1 = Chris | last1 = Paige | first2 = Charles | last2 = Van Loan | authorlink2 = Charles F. Van Loan | title = A Schur decomposition for Hamiltonian matrices | journal = Linear Algebra and its Applications | volume = 41 | year = 1981 | pages = 11–32 | doi = 10.1016/0024-3795(81)90086-0 }}.

1 : Matrices

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