英汉例句

• in this thesis, two smoothing methods are used to study the generalized nonlinear complementarity problems.

  本论文对广义互补问题的磨光方法进行了讨论。

• in chapter 3, we present a self-adaptive trust region method for solving generalized nonlinear complementarity problems.

  第三章为广义非线性互补问题的自适应信赖域方法。

• firstly, we summarize the main methods about this kind of formulation and make some numerical simulations. secondly, we discuss the homotopy method for solving nonlinear complementarity problems.

  我们首先总结了这一类等价变形中的几种主要的方法，并给出了一些数值模拟实例，然后我们考虑了解决非线性互补问题的同伦方法。

• a successive approximation quasi-newton method for solving nonlinear complementarity problems is proposed.

  提出了求解非线性互补问题的一个逐次逼近拟牛顿算法。

• this model can be formulated as an equilibrium problem with equilibrium constraints (epec) and be solved by a nonlinear complementarity method.

  该模型所描述的均衡问题是一个具有均衡约束的均衡问题（epec），可用非线性互补方法求解。

• in chapter 3 of this paper, we present a first order differential equation system with barrier projection method for solving nonlinear complementarity problems.

  本文第3章对非线性互补问题的一阶微分方程方法进行了研究。

• in this paper, we present a new nonlinear complementarity (ncp) function which is piecewise linear-rational, regular pseudo-smooth and has nice properties.

  提出了新的弱正则伪光滑非线性互补（ncp）函数，该函数具有良好的性质。

• the generalized nonlinear complementarity problem is the extension of the classical nonlinear complementarity problem. it is very important and useful in industrial and agricultural production.

  广义互补问题是互补问题的推广，它在工农业生产等实际问题中有重要的应用。

• this paper presents a new descend algorithm for nonlinear complementarity problems. the global convergence of the algorithm is proved under milder conditions.

  针对非线性互补问题，提出了与其等价的非光滑方程的一个下降算法，并在一定条件下证明了该算法的全局收敛性。

• in chapter 4, a new algorithm for the solution of nonlinear complementarity problems is developed.

  第四章对求解互补问题的可微的无约束优化法作了研究。

• in convex programming theory, a constrained optimization problem, by kt conditions, is usually converted into a mixed nonlinear complementarity problem.

  在凸规划理论中，通过kt条件，往往将约束最优化问题归结为一个混合互补问题来求解。

• a kind of nonlinear complementarity constraints with equilibrium problems is studied.

  研究了一类非线性互补约束的均衡问题。

• social cognitive optimization algorithm(sco) based on entropy function for solving nonlinear complementarity problem(ncp) is presented.

  提出了一个求解非线性互补问题的熵函数社会认知优化算法。

• for the nonsmooth problem in the objective function, the maximum entropy function is introduced to smooth it, then a nonlinear complementarity method is applied.

  本文主要研究非线性互补问题，提出了一个求解非线性互补问题的微分方程方法并进行了相应的数值实现。

• by using a smooth aggregate function to approximate the non-smooth max-type function, nonlinear complementarity problem can be treated as a family of parameterized smooth equations.

  利用凝聚函数一致逼近非光滑极大值函数的性质，将非线性互补问题转化为参数化光滑方程组。

• in this paper, we first discuss the method for solving nonlinear complementarity problem with the equivalent formulation of minimization based on merit function.

  在每个子问题中，利用高维状态变量表示随机行驶时间信息，并采用价值函数的近似进行求解。

• we prove that the solution of a nonlinear complementarity problem is exactly the equilibrium point of differential equation system, and prove the asymptotical stability and global convergence.

  在一定的条件下我们证明了非线性互补问题的解是该微分方程系统的平衡点，并且证明了该微分方程系统的稳定性和全局收敛性。

• dfp-like algorithm for nonlinear complementarity problems is presented. and under milder conditions, the global convergence of the algorithm is proved.

  针对非线性互补问题，提出了与其等价的非光滑最优化问题的类dfp算法，并在一定条件下证明了该算法的收敛性定理。

• by introducing nonlinear complementarity problem function, the original optimization problem is transferred equivalently to a set of nonlinear equations and solved by semi-smooth newton method.

  针对这一优化问题，通过引入非线性互补问题函数，将原优化问题转化为非线性方程组，并采用半光滑牛顿法进行求解。

• the generalized nonlinear complementarity problems are the extension of the classical nonlinear complementarity problems. they are very important and useful in industrial and agricultural production.

  广义互补问题是互补问题的推广，它在工农业生产等实际问题中有重要的应用。

• it is well known that the ncp-functions can be used to reformulate a nonlinear complementarity problem(ncp) as a nonsmooth system of equations.

  通过ncp-函数，非线性互补问题可以转化为求解一个非光滑方程组，利用光滑逼近函数可以用一个光滑方程组逼近该非光滑方程组。

• in chapter 2, the generalized nonlinear complementarity problem (gncp) defined on a polyhedral cone is reformulated as a system of nonlinear equations.

  第二章主要是将求解定义在闭凸多面锥上的广义互补问题（gncp）转化为一个非线性方程组问题。

• a smoothing approximation algorithm for nonlinear complementarity problems was introduced and the global convergence of the algorithm was proved under milder conditions.

  提出了求解非线性互补问题的一个光滑逼近算法， 在一定条件下证明了该算法的全局收敛性。

• in the dissertation, we consider the self-adaptive trust region method for system of nonlinear equations, and apply this method to solve generalized nonlinear complementarity problems.

  本文主要研究求解非线性方程组问题的自适应信赖域方法，此外还将自适应信赖域方法应用到广义非线性互补问题上。