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equality constrained optimization problem
相关语句
  等式约束问题
     The Inexact Newton Method for Solving Equality Constrained Optimization Problem
     求解等式约束问题的不精确Newton法
短句来源
  等式约束优化问题
     Decomposition and Update Method for Solving Equality Constrained Optimization Problem
     解等式约束优化问题的分解修正法
短句来源
     A Class of Non-monotone Trust Region Methods for Equality Constrained Optimization Problem
     一类等式约束优化问题的非单调信赖域方法
短句来源
     In the second part , a non-monotone trust region algorithm for non-linearly equality constrained optimization problem is proposed and its global convergence and super-linear rate is proved.
     第二部分给出了一个非线性等式约束优化问题的非单调信赖域算法,证明了算法的全局收敛性及其超线性收敛速度。
短句来源
     In this paper, a new iterative method for solving equality constrained optimization problem is presented based on the Lagrange function.
     本文基于Lagrange函数给出求解等式约束优化问题的一种新的迭代方法。
短句来源
     The nonlinear equality constrained optimization problem with a decomposition technique is discussed. The development of the algorithms is described in the first part.
     本文采用分解、合成的思想,求解非线性等式约束优化问题,第一节,介绍了算法的发展;
短句来源
  等式约束
     The Inexact Newton Method for Solving Equality Constrained Optimization Problem
     求解等式约束问题的不精确Newton法
短句来源
     In this paper, a new iterative method for solving equality constrained optimization problem is presented based on the Lagrange function.
     本文基于Lagrange函数给出求解等式约束优化问题的一种新的迭代方法。
短句来源
     A Class of Non-monotone Trust Region Methods for Equality Constrained Optimization Problem
     一类等式约束优化问题的非单调信赖域方法
短句来源
     In the second part , a non-monotone trust region algorithm for non-linearly equality constrained optimization problem is proposed and its global convergence and super-linear rate is proved.
     第二部分给出了一个非线性等式约束优化问题的非单调信赖域算法,证明了算法的全局收敛性及其超线性收敛速度。
短句来源
     This paper presents a trust region method for solving equality constrained optimization problem. The method is based on the reduced Hessian successive quadratic programming method. The new method shares advantages of trust region methods and reduced Hessian method.
     本文提出了解等式约束优化的一个信赖域方法 ,该方法以既约 Hessian逐步二次规划为基础 ,它享有信赖域方法与既约 Hessian方法的优点 .
短句来源
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  equality constrained optimization problem
A trust-region algorithm for solving the equality constrained optimization problem is presented.
      


We revise Nocedal-Overton's two-sided projected quasi-Newton method for equality constrained optimization problems by adding a correction term which requires only a little additional computation effort, nevertheless improves, both local convergence and global convergence. This paper is focused on the discussion of the local property. Particularly, it is proved that if DFP or PSB matrix updating formulae are used, then our method will be convergent superlinearly under some conditions. Global...

We revise Nocedal-Overton's two-sided projected quasi-Newton method for equality constrained optimization problems by adding a correction term which requires only a little additional computation effort, nevertheless improves, both local convergence and global convergence. This paper is focused on the discussion of the local property. Particularly, it is proved that if DFP or PSB matrix updating formulae are used, then our method will be convergent superlinearly under some conditions. Global convergence of the method will be dealt with in a forthcoming paper.

本文中我们对Nocedal与Overton所提出的双边投影拟牛顿方法加以改进,增添一个修正项。这个修正项的计算量是很少的,但修改后的方法可以同时改进局部收敛性与全局性收敛性。本文将集中讨论局部收敛性,特别是证明了在使用DFP或PSB等矩阵校正公式时,修正后的方法在一定的条件下是超线性收敛的。对于全局收敛性的讨论将另文给出。

This paper presents two trust region algorithms for solving general nonlinear equality constrained optimization problems. The different techniques are used in minimizing a quadrdtic approximate model of the original optimization problems in trust region. By the convergence analysis, the global convergences and local superlinear convergences of the algorithms are obtained. Finally,the implementations of the algorithms are given.

提出了求解一般非线性等式约束优化的信赖域算法。运用了不同方法在信赖域内求解原优化问题的二次近似模型的解,通过收敛性分析,获得了算法的整体及局部超线性收敛等结果,并给出了算法的执行细节。

In this paper, a new iterative method for solving equality constrained optimization problem is presented based on the Lagrange function. The method is shown to be q-superlinear convergent and global convergent, and the numerical comparison with Newton method is given.

本文基于Lagrange函数给出求解等式约束优化问题的一种新的迭代方法。证明了这种方法是q-超线性收敛的和大范围收敛的,并给出了与Newton法的数值比较。

 
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