Проекційно-ітераційна реалізація метода умовного градієнта мінімізації функціонала в гільбертовому просторі
A projection-iteration method based on one variant of the conditional gradient method for solving constrained minimization problem in Hilbert space is investigated. Method makes possible to substitute the initial extreme problem with some sequence of ancillary approximate extreme problems given in H...
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| Datum: | 2013 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Ukrainian |
| Veröffentlicht: |
The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2013
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| Online Zugang: | http://journal.iasa.kpi.ua/article/view/44151 |
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| Назва журналу: | System research and information technologies |
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System research and information technologies| Zusammenfassung: | A projection-iteration method based on one variant of the conditional gradient method for solving constrained minimization problem in Hilbert space is investigated. Method makes possible to substitute the initial extreme problem with some sequence of ancillary approximate extreme problems given in Hilbert spaces which are isomorphic to subspaces of initial space. Then only several successive approximations for each of the approximate problems are found by means of the conditional gradient method, and the last of them for determining the initial approximation in iterative process for the next approximate problem is used. Theorems of feasibility and convergence of the projection-iteration method are proved, estimates of error and convergence degree are obtained. |
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