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|a In this paper we propose a strongly convergent variant on the projected subgradient method for constrained convex minimization problems in Hilbert spaces. The advantage of the proposed method is that it converges strongly when the problem has solutions, without additional assumptions. The method also has the following desirable property: the sequence converges to the solution of the problem which lies closest to the initial iterate.
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Bello Cruz, J. Y., Iusem, A. N. |
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Bello Cruz, J. Y., Iusem, A. N. |
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Bello Cruz, J. Y. |
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In this paper we propose a strongly convergent variant on the projected subgradient method for constrained convex minimization problems in Hilbert spaces. The advantage of the proposed method is that it converges strongly when the problem has solutions, without additional assumptions. The method also has the following desirable property: the sequence converges to the solution of the problem which lies closest to the initial iterate. |
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Rio de Janeiro, IMPA, 2011 |
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Rio de Janeiro: IMPA, 2011 |
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DE-D117, DE-105, LFER, DE-Ch1, DE-15, DE-14, DE-Zwi2 |
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A strongly convergent method for nonsmooth convex minimization in Hilbert spaces |
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Instituto de Matemática Pura e Aplicada, Pré-publicações / A, 688 |
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Pré-publicaç~oes / Instituto Nacional de Matemática Pura e Aplicada ; Série A, Artigos de pesquisadores e alunos de doutorado do IMPA ; 688 |
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spelling |
Bello Cruz, J. Y. aut, A strongly convergent method for nonsmooth convex minimization in Hilbert spaces J. Y. Bello Cruz; A. N. Iusem, Rio de Janeiro IMPA 2011, Online-Ressource (8 S., 89 KB), Text txt rdacontent, Computermedien c rdamedia, Online-Ressource cr rdacarrier, Pré-publicaç~oes / Instituto Nacional de Matemática Pura e Aplicada Série A, Artigos de pesquisadores e alunos de doutorado do IMPA 688, In this paper we propose a strongly convergent variant on the projected subgradient method for constrained convex minimization problems in Hilbert spaces. The advantage of the proposed method is that it converges strongly when the problem has solutions, without additional assumptions. The method also has the following desirable property: the sequence converges to the solution of the problem which lies closest to the initial iterate., Forschungsbericht (DE-588)4155043-2 (DE-627)10467444X (DE-576)209815833 gnd-content, Iusem, A. N. aut, Instituto de Matemática Pura e Aplicada Rio de Janeiro Pré-publicações / A 688 688 (DE-627)731470036 (DE-576)376352140 (DE-600)2694287-2, http://webdoc.sub.gwdg.de/ebook/serien/e/IMPA_A/688.pdf application/pdf Verlag kostenfrei Volltext, http://webdoc.sub.gwdg.de/ebook/serien/e/IMPA_A/688.pdf LFER, LFER 2019-07-15T00:00:00Z |
spellingShingle |
Bello Cruz, J. Y., Iusem, A. N., A strongly convergent method for nonsmooth convex minimization in Hilbert spaces, Instituto de Matemática Pura e Aplicada, Pré-publicações / A, 688, In this paper we propose a strongly convergent variant on the projected subgradient method for constrained convex minimization problems in Hilbert spaces. The advantage of the proposed method is that it converges strongly when the problem has solutions, without additional assumptions. The method also has the following desirable property: the sequence converges to the solution of the problem which lies closest to the initial iterate., Forschungsbericht |
swb_id_str |
9736083977 |
title |
A strongly convergent method for nonsmooth convex minimization in Hilbert spaces |
title_auth |
A strongly convergent method for nonsmooth convex minimization in Hilbert spaces |
title_full |
A strongly convergent method for nonsmooth convex minimization in Hilbert spaces J. Y. Bello Cruz; A. N. Iusem |
title_fullStr |
A strongly convergent method for nonsmooth convex minimization in Hilbert spaces J. Y. Bello Cruz; A. N. Iusem |
title_full_unstemmed |
A strongly convergent method for nonsmooth convex minimization in Hilbert spaces J. Y. Bello Cruz; A. N. Iusem |
title_in_hierarchy |
688. A strongly convergent method for nonsmooth convex minimization in Hilbert spaces (2011) |
title_short |
A strongly convergent method for nonsmooth convex minimization in Hilbert spaces |
title_sort |
strongly convergent method for nonsmooth convex minimization in hilbert spaces |
topic |
Forschungsbericht |
topic_facet |
Forschungsbericht |
url |
http://webdoc.sub.gwdg.de/ebook/serien/e/IMPA_A/688.pdf |