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- W2078888601 abstract "Generalizing results proved recently for the real and complex case, we show over all fields that every alternating-Hamiltonian matrix is similar to a block-diagonal matrix of the form A00At, and that any two similar ones are similar by a symplectic transformation. Furthermore, every one is a square of a Hamiltonian matrix. The proofs use a structural idea drawn from the study of pairs of alternating forms. Counterexamples show that the definitions must be carefully chosen to work in characteristic 2." @default.
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- W2078888601 date "2005-02-01" @default.
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- W2078888601 title "The structure of alternating-Hamiltonian matrices" @default.
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- W2078888601 doi "https://doi.org/10.1016/j.laa.2004.10.003" @default.
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