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equality constrained problem
相关语句
  等式约束问题
     A Class of Modified Penalty Functions Method for Solving Equality Constrained Problem
     求解等式约束问题的一类修正罚函数方法
     This paper presents an algorithm that employs both trust region and quasi Newton techniques for equality constrained problem.
     本文对等式约束问题提出了一种组合信赖域与拟牛顿算法 .
短句来源
  “equality constrained problem”译为未确定词的双语例句
     Trust Region Algorithm with Decomposition Technique for Nonlinear Equality Constrained Problem ( Ⅰ )
     非线性等式约束分解信赖域算法(Ⅰ)
短句来源
     The ABS algorithms are utilized to solve a linear equality constrained problem.
     将ABS算法用于求解线性等式约束的优化问题。 给出一个信赖域算法;
短句来源
  相似匹配句对
     One Method for Equality Constrained Quadratic Programming
     求解等式约束的二次规划问题
短句来源
     A TRUST REGION ALGORITHM FOR EQUALITY CONSTRAINED OPTIMIZATION
     等式约束最优化问题的一种信赖域算法
短句来源
     From the Equality of Sataly
     从萨托利的平等说起
短句来源
     What is equality?
     平等是什么?
短句来源
     Iterative Methods for Solving the Equality Constrained Quadratic Programming Problem
     等式约束二次规划问题的迭代解法
短句来源
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  equality constrained problem
The initial problem is transformed to an equivalent equality constrained problem, where the logarithmic barrier function is used to ensure feasibility.
      
The initial problem is transformed into an equivalent equality constrained problem, and then the interior point approach is used.
      


An improved heuristic method for Optimum searching of mixed discrete variable problems, i. e. a mixed discrete expanded complex programming method(MDECP)is presented. The definition of‘effective function, in literature is modified by normalization and establishing a buffer region for equality constrained problems. The variable interval discrete technigue in engineering problems are discussed, thus broadening the scope of design. Furthermore, a new principle for check is proposed for a convergence...

An improved heuristic method for Optimum searching of mixed discrete variable problems, i. e. a mixed discrete expanded complex programming method(MDECP)is presented. The definition of‘effective function, in literature is modified by normalization and establishing a buffer region for equality constrained problems. The variable interval discrete technigue in engineering problems are discussed, thus broadening the scope of design. Furthermore, a new principle for check is proposed for a convergence criterion, which uses the maximum mixed sub-gradient defined in this paper rather than the sub-gradient of objective function to seek a local optimum solution. Calculation of a real cases has shown that the number of point-to-point check is greatly decreased and optimum searching is more effective. Finally, an optimum design of chain drive used in oil fields with discrete parameter is made in this paper.

目前,本文基于现有混合离散变量优化方法的基本思想,提出了一种改进的混合离散变量问题的试探性寻优方法,即MDECP法。该法首先对文献[2]的“有效函数”定义作了一定的改进,即进行了规一化处理和对等式约束问题建立了“缓冲区”;同时,就工程上变均匀间隔离散问题进行了讨论,从而扩大了设计范围,丰富了优化内容。其次,本文还以提出的一种新的查点原理作为收敛准则。该查点原理不是采用一般资料所介绍的利用目标函数值的次梯度信息进行查点的方法,求解局部最优解,而是利用本文所定义的“最大混合次梯度”信息进行查点寻求局部最优解。经过实例计算表明:该法大大地减少了查点数目、提高了寻优效率。最后,还对具有离散性参数的石油链传动进行了优化设计。

This paper presents the optimality conditions in inequality constrained and mixed constrained problems in Banach space by means of Frechet derivatives. From the η-convex-ity,Slater's condition,the nescessary optimality conditions are developed in inequality constrained minimization problems. The η-convexity is also used in discussing sufficient optimality conditions and the Lagrange dual problem. It is obtained that the extremal values are equal in the primal problem...

This paper presents the optimality conditions in inequality constrained and mixed constrained problems in Banach space by means of Frechet derivatives. From the η-convex-ity,Slater's condition,the nescessary optimality conditions are developed in inequality constrained minimization problems. The η-convexity is also used in discussing sufficient optimality conditions and the Lagrange dual problem. It is obtained that the extremal values are equal in the primal problem and the dual problem. This paper also discussed the necessary optimality conditions of second order in the equality constrained problems.

本文在Banach空间利用函数的Frechet可微性,研究了不等式约束和混合约束问题的最优性条件。利用η-凸性,Slatcr条件推广了不等式约束问题的最优性必要条件,同时利用η-凸性讨论了最优性充分条件以及Lagrange对偶问题,得出Lagrange对偶问题与原问题最优值相等的结论。也在Banach空间讨论了等式约束问题的二阶必要条件。

The ABS algorithms are utilized to solve a linear equality constrained problem.A trust region algorithm is proposed in which the implicit LU algorithm is applied for modifying Hesse matrices and the subproblems are solved by using the symmetric ABS algorithm, and the authors prove that any cluster point of the sequence generated by the algorithm satisfies the optimal necessary conditions for this problem.

将ABS算法用于求解线性等式约束的优化问题。给出一个信赖域算法;该算法中用隐式LU分解算法修正Hesse矩阵,用对称的AbS算法求解子问题。证明了由算法生成的序列的任意聚点满足线性等式约束优化问题最优解的必要条件。

 
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