GLOBAL CONVERGENCE AND IMPLEMENTATION OF NGTN METHOD FOR SOLVING LARGE-LARGE-SCALE SPARSE NONLINEAR PROGRAMMING PROBLEMS)

Qin Ni

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GLOBAL CONVERGENCE AND IMPLEMENTATION OF NGTN METHOD FOR SOLVING LARGE-LARGE-SCALE SPARSE NONLINEAR PROGRAMMING PROBLEMS)

机译：大型稀疏非线性规划问题的NGTN方法的全局收敛性和实现

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An NGTN method was proposed for solving large-scale sparse nonlinear programming (NLP) problems. This is a hybrid method of a truncated Newton direction and a modified negative gradient direction, which is suitable for handling sparse data structure and pos- sesses Q-quadratic convergence rate. The global convergence of this new method is proved, the convergence rate is further analysed, and the detailed implementation is discussed in this paper.

机译：提出了一种解决大规模稀疏非线性规划（NLP）问题的NGTN方法。这是截断牛顿方向和修改后的负梯度方向的混合方法，适用于处理稀疏数据结构并具有Q二次收敛率。证明了该新方法的全局收敛性，进一步分析了收敛速度，并讨论了具体实现方法。

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来源
《Journal of Computational Mathematics》 |2001年第4期|p.337-346|共10页
作者
Qin Ni;
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原文格式 PDF
正文语种 eng
中图分类计算数学;
关键词
Nonlinear programming; Large-scale problem; Sparse;

机译：非线性编程大规模问题;疏;

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4. A New Efficient Method for Solving Sparse Large-Scale Nonlinear Programming Problems [C] . Q. NI International symposium on operations research with applications in engineering, technology, and management;ISORA; 19961211-14;19961211-14; Guilin(CN);Guilin(CN) . 1996

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8. Differential Geometric Methods for Solving Nonlinear Constrained Optimization Problems and a Related System of Nonlinear Equations: Global Analysis and Implementation [R] . Tanabe, K. 1978

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GLOBAL CONVERGENCE AND IMPLEMENTATION OF NGTN METHOD FOR SOLVING LARGE-LARGE-SCALE SPARSE NONLINEAR PROGRAMMING PROBLEMS)

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