saddle point

A globally linearly convergent saddle point algorithm for linear programming

一个总体线性收敛的求解线性规划的鞍点法

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For the temporal-spatial stability problem, a new iterative method for solving the saddle point of the complex frequency is then proposed.

其中，对时空稳定性问题本文给出了一种新的迭代法可以快速有效地求出复频率的鞍点。

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This paper investigates the minimax problem of a non differentiable saddle functional, and constructs a nonsmooth neural network to search for the saddle point of a saddle functional.

利用非光滑分析的理论讨论了非可微鞍泛函的minimax问题，并建立非光滑神经网络来求鞍泛函的鞍点。

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One Property of Angular Saddle Point on Curved Surface

曲面角型鞍点的一个性质

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The Hopf bifurcation behavior from the zero equilibrium, which is a saddle point, is created under the combination control of linear and nonlinear feedback.

在线性与非线性状态反馈控制共同作用下，在该系统原为鞍点的零平衡点上，创建了稳定的Hopf分岔行为。

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Linear saddle point problems arise in a wide variety of applications throughout computational science and engineering. Due to their indefiniteness and often poor spectral properties, such linear systems represent a significant challenge for solver developers.

线性鞍点问题常出现在科学和工程计算的诸多领域，由于该问题的不定性以及通常比较差的谱性质，求解它对于计算工作者来说是一个巨大的挑战。

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Moreover, we develop corresponding duality theory and related saddle point theory.

同时, 我们还建立了对偶理论及相关的鞍点理论.

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Then we concentrate on the construction of the discrete space of Lagrange multiplier, the space of mortar elements, and the conjugated gradient method for the related saddle point problem.

接着重点讨论了Lagrange乘子的近似空间，即粘接元（mortarelements）空间的建立，以及所引起的离散鞍点问题的共轭梯度迭代解法。

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GENERALIZED AOR METHOD FOR AUGMENTED SYSTEMS The Iterative Algorithms for Large Sparse Saddle Point Problems

求解鞍点问题的一般加速超松弛方法解大型稀疏鞍点问题的迭代方法

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Minimax Theorem and Saddle Point Theorem without Linear Structure

没有线性结构的极大极小定理与鞍点定理

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Based on the thermodynamic model of ideal gas of cosmic strings, the string tension is calculated by the saddle point approximation and the expression of string tension is obtained.

由宇宙弦的理想气体热力学模型出发，用鞍点近似方法，导出了宇宙弦的弦张力表达式。

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This model indicates that there are three possible types of equilibrium point in the phase space during the evolution of the rock mass system, i.e., spiral point and improper point and saddle point.

Ruina单变量摩擦定律基础上建立的岩体系统分岔模型，分析了在实践中遇到的问题，结果表明边坡岩体系统在演化过程中会出现三个奇点类型，即焦点、结点及鞍点。

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In the figure, the system will travel along the valley ( R), over the saddle point ( Q), and down into the second valley ( P). The reaction path is represented by R Q-P line.

反应体系的代表点从山谷R沿反应途径爬过鞍点Q后落入另一山谷P中（R-Q-P线就代表反应途径）。

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Under suitable conditions, we give some theorems connecting multiobjective fractional programming with set functions and its scalarization problems as well as the corresponding saddle point problems.

在一定条件下，论证了集函数多目标分式规划问题与其相应的标量化问题以及鞍点问题之间的密切关系。

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In this paper, the two dimensional Fokker-Planck Equation is exactly solved by means of the numerical method. The velocity distribution at the saddle point, the second moments of the coordinate and velocity, the time development of the nuclear fission rate are studied.

本文应用数值方法严格求解二维福克-普朗克（Fokker-Planck）方程，研究在鞍点上的速度分布、坐标和速度的二次矩以及核裂变速率随时间的演变。

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An Improved Interval Estimate for the Maximum Eigenvalues of Saddle Point Matrices

一类改进的鞍点矩阵最大特征值的区间估计

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Computer Evaluation of Geometric Error Based on Saddle Point Programming

基于鞍点规划法的形位误差计算机评定

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For rockshaft splay saddle, the anchorage force should be calculated under condition that the tension of both side and anchor spans at the tangent point of the saddle in relation to the resultant moment at the the rockshaft center is equal to zero.

对摇轴式散索鞍，应采用边跨和锚跨在散索鞍切点处的张力对摇轴中心合力矩为0为条件计算锚固力。

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Match point hot point Lagrange multiplier theorem of efficient solution and saddle point theory

有效解的Lagrange乘子定理与鞍点理论

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But the saddle point in the imaginary plane should convolute here.

但是在虚拟平面上的鞍点应该环绕这里.

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One factor is a new set of characteristic equations for the saddle-node bifurcation point which is of dimension n+ 1, instead of 2n+ 1, which is traditionally required in n-dimensional decoupled paramter-dependent power flow equations.

特点是：①对于一n维潮流方程，计算其鞍型分叉点所需求解的是n＋1维特征方程，而不是常规求解方法中的2n+1维特征方程。

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Saddle Point Theorem and its Applications in the Method of Lagrange Multiplier

鞍点定理在Lagrange乘数法上的应用

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Necessary and sufficient conditions for convex programming satisfying the saddle point criterion in ordered vector spaces

有序向量空间中的凸规划成立鞍点准则的充要条件

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In three-dimensions it could even be a saddle point.

在三维空间的时候，这个甚至可以是鞍点。

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The Three Saddle Point Values Formula of a Cubic System

全三次系统的三阶细鞍点公式

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The passing probability of nuclear fusion and the fission rate at the saddle point is calculated by an improved scheme with test particle muti passing over the saddle point, where a strong back streaming effect around the saddle is found and considered.

用实验粒子多次通过位垒的方法计算重核熔合与裂变过程中的熔合几率和裂变速率，结果发现位垒附近存在着一种强烈的回流现象。

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Plans for sex the generality of well posed saddle point problems

制造性趣5“点”方案良定鞍点问题的通有性

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A comparison is made for the shapes of experimental saddle point with the theoretical predictions by the liquid drop model.

实验上推出来的鞍点核形状同液滴模型的理论予示作了比较。

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