A Modified Sequence Quadratic Programming Method for Nonlinear Programming

Zhijun Luo, Guohua Chen, Lirong Wang
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引用次数: 3

Abstract

Sequence quadratic programming method is one of the most useful methods for solving constrained optimization problem. In this paper, a new modified SQP method is proposed to solve the nonlinear programming. This algorithm starts from an arbitrary initial point and adjusts penalty parameter automatically. A descent direction is obtained by solving only one variant constrained sub problem. In order to avoid Marotos effect, a high-order revised direction is obtained by solving a line system. Furthermore, under mild conditions, the global and local super linear convergence properties are obtained.
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非线性规划的改进序列二次规划方法
序列二次规划法是求解约束优化问题最有用的方法之一。本文提出了一种新的改进SQP方法来求解非线性规划问题。该算法从任意初始点出发,自动调整惩罚参数。仅通过求解一个变量约束子问题得到下降方向。为了避免马罗托斯效应,通过求解直线系统得到一个高阶修正方向。在较温和的条件下,得到了该算法的全局和局部超线性收敛性。
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