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An extended Hessenberg form for Hamiltonian matrices

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dc.contributor.author Ferranti, Micol
dc.contributor.author Iannazzo, Bruno
dc.contributor.author Mach, Thomas
dc.contributor.author Vandebril, Raf
dc.date.accessioned 2017-01-06T10:02:29Z
dc.date.available 2017-01-06T10:02:29Z
dc.date.issued 2016-06-01
dc.identifier.citation Ferranti, M., Iannazzo, B., Mach, T., & Vandebril, R. (2016). An extended Hessenberg form for Hamiltonian matrices. Calcolo, 1-31. DOI: 10.1007/s10092-016-0192-1 ru_RU
dc.identifier.uri http://nur.nu.edu.kz/handle/123456789/2195
dc.description.abstract A unitary symplectic similarity transformation for a special class of Hamiltonian matrices to extended Hamiltonian Hessenberg form is presented. Whereas the classical Hessenberg form links to Krylov subspaces, the extended Hessenberg form links to extended Krylov subspaces. The presented algorithm generalizes thus the classic reduction to Hamiltonian Hessenberg form and offers more freedom in the choice of Hamiltonian condensed forms, to be used within an extended Hamiltonian QR algorithm. Theoretical results identifying the structure of the extended Hamiltonian Hessenberg form and proofs of uniqueness of the reduction process are included. Numerical experiments confirm the validity of the approach. ru_RU
dc.language.iso en ru_RU
dc.publisher Calcolo ru_RU
dc.rights Attribution-NonCommercial-ShareAlike 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/us/ *
dc.subject extended hessenberg forms ru_RU
dc.subject hamiltonian eigenvalue problems ru_RU
dc.subject QR algorithm ru_RU
dc.title An extended Hessenberg form for Hamiltonian matrices ru_RU
dc.type Article ru_RU

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