李学全,潘俊.非线性等式与不等式优化问题的一个新的SQP算法[J].南华大学学报(自然科学版),2004,(4):39~41.[.A New Sop Method for Nonlinear Programming with Inequality and Equality ConstRaints[J].Journal of University of South China(Science and Technology),2004,(4):39~41.] |
非线性等式与不等式优化问题的一个新的SQP算法 |
A New Sop Method for Nonlinear Programming with Inequality and Equality ConstRaints |
修订日期:2004-06-09 |
DOI: |
中文关键词: 序列二次规划 非线性规划 全局收敛 超线性收敛 非线性等式 优化问题 SQP算法 |
英文关键词:sequential quadratic programming,nonlinear programming,global and superlinear convergence |
基金项目: |
李学全 潘俊 |
中南大学数学科学与计算技术学院,湖南长沙410083 |
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中文摘要: |
针对非线性优化问题,提出了一种新的SQP算法.其特点为:每次迭代只需求解一个二次规划;算法能自动产生一个校正方向,从而避免Maxatos效应;在一定条件下算法具有全局收敛性和超线性收敛性。 |
英文摘要: |
In this paper,a new sequential quadratic programming method of feasible directions is proposed and analyzed for nonlinear programming with inequality and equality constraints.This algorithm has the following characters:only one quadratic programming need to be solved at each iteration;a revised direction can be produced automatically;global and superlinear convergence can be induced under some suitable assumptions. |
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