ПРО ВИБІР ПОЧАТКОВОГО НАБЛИЖЕННЯ В ІТЕРАЦІЙНИХ АЛГОРИТМАХ РОЗВ’ЯЗАННЯ РІВНЯННЯ X − ATX−1A = Q
The algorithm of solution of the matrix equation is considered. In this algorithm the starting value is constructed by use of the linear matrix inequalities. For improving the received starting value the Newton procedure is used. On the example, the efficiency of algorithm is shown also in the cases...
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| Datum: | 2011 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
V.M. Glushkov Institute of Cybernetics of NAS of Ukraine
2011
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| Online Zugang: | https://jais.net.ua/index.php/files/article/view/543 |
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| Назва журналу: | Problems of Control and Informatics |
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Problems of Control and Informatics| Zusammenfassung: | The algorithm of solution of the matrix equation is considered. In this algorithm the starting value is constructed by use of the linear matrix inequalities. For improving the received starting value the Newton procedure is used. On the example, the efficiency of algorithm is shown also in the cases when eigenvalues of the matrix pencil which is associated with this equation lay on the unit circle. Using in these cases the traditional algorithms is problematic. |
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