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| Content Provider | Springer Nature Link |
|---|---|
| Author | Ikramov, Kh. D. Fassbender, H. |
| Copyright Year | 2009 |
| Abstract | We show that the product C of two skew-Hamiltonian matrices obeys the Stenzel conditions. If at least one of the factors is nonsingular, then the Stenzel conditions amount to the requirement that every elementary divisor corresponding to a nonzero eigenvalue of C occurs an even number of times. The same properties are valid for the product of two skew-pseudosymmetric matrices. We observe that the method proposed by Van Loan for computing the eigenvalues of real Hamiltonian and skew-Hamiltonian matrices can be extended to complex skew-Hamiltonian matrices. Finally, we show that the computation of the eigenvalues of a product of two skew-symmetric matrices reduces to the computation of the eigenvalues of a similar skew-Hamiltonian matrix. Bibliography: 8 titles. |
| Starting Page | 697 |
| Ending Page | 700 |
| Page Count | 4 |
| File Format | |
| ISSN | 10723374 |
| Journal | Journal of Mathematical Sciences |
| Volume Number | 157 |
| Issue Number | 5 |
| e-ISSN | 15738795 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2009-02-21 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Mathematics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Statistics and Probability |
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