| 引用本文： |
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简金宝,黎健玲,莫兴德.超线性收敛可行方法的研究进展Ⅰ:SQP类方法[J].广西科学,2002,9(2):84-90. [点击复制]
- Jian Jinbao,Li Jianling,Mo Xingde.Research Advance on the Superlinearly Convergent Feasible Methods I: SQP Type Methods[J].Guangxi Sciences,2002,9(2):84-90. [点击复制]
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| 摘要: |
| 非线性约束最优化的超线性收敛可行方法是一个具有重要理论意义和实用价值的研究方向。最近该方向得到广泛而深入的研究,获得一系列新的研究成果,如SQP类方法、序列线性方程组类方法和显式搜索方向类方法。本文介绍可行SQP类方法的最近研究成果,并采用一个拓广的SQP模型统一分析各种算法的超线性收敛性。 |
| 关键词: 非线性约束 最优化 可行方法 超线性收敛性 |
| DOI： |
| 投稿时间：2001-12-04 |
| 基金项目:Supported by the National Natural Science Fundation (N.19801009) and Natural Science Fundation of Guangxi Province (N.9811023&9912027). |
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| Research Advance on the Superlinearly Convergent Feasible Methods I: SQP Type Methods |
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Jian Jinbao, Li Jianling, Mo Xingde
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| (College of Math. and Physics, Guangxi Univ., 100 Daxuelu, Nanning, Guangxi, 530004, China) |
| Abstract: |
| The superlinearly convergent feasible methods for nonlinearly constrained optimization problems are an important research subject in both theory and practice. Recently the researches are conducted in a deepgoing and systematic way, and some new results are obtained, such as SQP type, sequential systems of linear equations type and explicit search directions type. The recent results about the feasible SQP type methods are introduced. The superlinear convergence of the previous algorithms is unitedly analyzed by a new SQP extension model. |
| Key words: nonlinear constraint optimization feasible methods superlinear convergence. |
