第三章为广义非线性互补问题的自适应信赖域方法。
In chapter 3, we present a self-adaptive trust region method for solving generalized nonlinear complementarity problems.
实验结果表明，该算法收敛速度快，稳定性好，是求解非线性互补问题的一种有效算法。
The imitate results manifest that SCO converges fast and stably, and it is an effective algorithm for NCP.
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。
A smoothing approximation algorithm for nonlinear complementarity problems was introduced and the global convergence of the algorithm was proved under milder conditions.
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。
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.
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。
This paper presents a new descend algorithm for nonlinear complementarity problems. The global convergence of the algorithm is proved under milder conditions.
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。
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.
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。
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.
研究了一类非线性互补约束的均衡问题。
A kind of nonlinear complementarity constraints with equilibrium problems is studied.
把解互补问题转化为求非线性映照的不动点。
Firstly, solving complementarity problems is changed into finding a nonlinear mapping's fixed point.
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。
This model can be formulated as an equilibrium problem with equilibrium constraints (EPEC) and be solved by a nonlinear complementarity method.
本文考虑了线性、平方规划和非线性规划问题解的存在唯一、严格互补等性质。
The present paper discusses some properties about existence and unique solution, strict complementarity et al.
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。
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。
In chapter 2, the generalized nonlinear complementarity problem (GNCP) defined on a polyhedral cone is reformulated as a system of nonlinear equations.
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