رسالة جامعية
HAMEV and SQRED: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices Using Van Loanss Square Reduced Method
| العنوان: | HAMEV and SQRED: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices Using Van Loanss Square Reduced Method |
|---|---|
| المؤلفون: | Benner, P., Byers, R., Barth, E. |
| حالة النشر: | preprint |
| بيانات النشر: | Technische Universität Chemnitz, 1998. |
| سنة النشر: | 1998 |
| المجموعة: | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Original Material: | urn:nbn:de:bsz:ch1-199800926 |
| مصطلحات موضوعية: | info:eu-repo/classification/ddc/510, ddc:510, eigenvalues, square-reduced Hamiltonian matrix, skew-Hamiltonian matrix, algebraic Riccati equation, MSC 65F15, MSC 93B40 |
| الوصف: | This paper describes LAPACK-based Fortran 77 subroutines for the reduction of a Hamiltonian matrix to square-reduced form and the approximation of all its eigenvalues using the implicit version of Van Loan's method. The transformation of the Hamilto- nian matrix to a square-reduced Hamiltonian uses only orthogonal symplectic similarity transformations. The eigenvalues can then be determined by applying the Hessenberg QR iteration to a matrix of half the order of the Hamiltonian matrix and taking the square roots of the computed values. Using scaling strategies similar to those suggested for algebraic Riccati equations can in some cases improve the accuracy of the computed eigenvalues. We demonstrate the performance of the subroutines for several examples and show how they can be used to solve some control-theoretic problems. |
| Original Identifier: | oai:qucosa:de:qucosa:17466 |
| نوع الوثيقة: | Text |
| اللغة: | English |
| الإتاحة: | https://monarch.qucosa.de/id/qucosa%3A17466Test https://monarch.qucosa.de/api/qucosa%3A17466/attachment/ATT-0Test/ https://monarch.qucosa.de/api/qucosa%3A17466/attachment/ATT-1Test/ https://monarch.qucosa.de/api/qucosa%3A17466/attachment/ATT-2Test/ |
| حقوق: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsndl.DRESDEN.oai.qucosa.de.qucosa.17466 |
| قاعدة البيانات: | Networked Digital Library of Theses & Dissertations |
| الوصف غير متاح. |