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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