| Penalty Algorithms in Hilbert Spaces |
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| 引用本文： | Jean Pierre DUSSAULT Hai SHEN André BANDRAUK. Penalty Algorithms in Hilbert Spaces[J]. 数学学报(英文版), 2007, 23(2): 229-236. DOI: 10.1007/s10114-005-0815-y |
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| 作者姓名： | Jean Pierre DUSSAULT Hai SHEN André BANDRAUK |
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| 作者单位： | [1]Département d＇Informatique, Faculté des Sciences, Université de Sherbrooke, Sherbrooke, Québec, J1K 2R1, Canada [2]Viador inc. （www.viador.com） 555 Twin Dolphin Dr., Suite 280, Redwood City, CA 94065, USA [3]Laboratoire de Chimie Théorique, Faculté des Sciences, Université de Sherbrooke, Sherbrooke, Québec, J1K 2R1, Canada |
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| 摘 要： |
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| 关 键 词： | 希尔伯特空间 惩罚算法 非线性规划 全局收敛 优化 |
| 修稿时间： | 2003-11-252005-07-14 |
Penalty Algorithms in Hilbert Spaces |
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| Jean Pierre Dussault,Hai Shen,André Bandrauk. Penalty Algorithms in Hilbert Spaces[J]. Acta Mathematica Sinica(English Series), 2007, 23(2): 229-236. DOI: 10.1007/s10114-005-0815-y |
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| Authors: | Jean Pierre Dussault Hai Shen André Bandrauk |
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| Affiliation: | (1) Département d’Informatique, Faculté des Sciences, Université de Sherbrooke, Sherbrooke, Québec, J1K 2R1, Canada;(2) Viador inc. (www.viador.com), 555 Twin Dolphin Dr., Suite 280, Redwood City, CA 94065, USA;(3) Laboratoire de Chimie Théorique, Faculté des Sciences, Université de Sherbrooke, Sherbrooke, Québec, J1K 2R1, Canada |
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| Abstract: | We analyze the classical penalty algorithm for nonlinear programming in Hilbert spaces and obtain global convergence results, as well as asymptotic superlinear convergence order. These convergence results generalize similar results obtained for finite-dimensional problems. Moreover, the nature of the algorithms allows us to solve the unconstrained subproblems in finite-dimensional spaces. |
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| Keywords: | penalty methods infinite dimensional optimization |
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