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- W264831090 abstract "Faculty of Computational Mathematics and Cybernetics, Moscow StateUniversity, 119992 Moscow, Russia.AbstractWe show that the product C of two skew-Hamiltonian matrices obeys the Stenzelconditions. If at least one of the factors is nonsingular, then the Stenzel conditionsamount to the requirement that each elementary divisor for a nonzero eigenvalueof C occur an even number of times. The same properties are valid for the productof two skew-pseudosymmetric matrices. We observe that the method proposed byVan Loan for calculating the eigenvalues of real Hamiltonian and skew-Hamiltonianmatrices can be extended to complex skew-Hamiltonian matrices. Finally, we showthat the calculation of the eigenvalues of a product of two skew-symmetric matricescan be reduced to the calculation of the eigenvalues of a similar skew-Hamiltonianmatrix.Key words: Hamiltonian matrices, skew-Hamiltonian matrices, elementarydivisors, Jordan blocks2000 MSC: 15A23, 15A21∗ corresponding authorEmail addresses: h.fassbender@tu-bs.de (H. Fasbender),ikramov@cs.msu.su (Kh. D. Ikramov)." @default.
- W264831090 created "2016-06-24" @default.
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- W264831090 date "2007-01-01" @default.
- W264831090 modified "2023-09-26" @default.
- W264831090 title "A note on the product of two skew-Hamiltonian matrices and the product of two skew-symmetric matrices" @default.
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