解不等式

解不等式约束问题的不可行SSLE滤子算法

An Infeasible SSLE Filter Algorithm for Inequality Constrained Optimization

本文提出一种不用画几何图形而用解不等式组的代数方法，此法对n（n≥3）重积分和变更单积分的顺序更为有效。

In this paper we give the algebraic method of not describing geometric figure , but using of solving a groupe of inequality . The method has more effect on n & th ( n ≥ 3 ) integral and changing the order of repeated integral .

解不等式约束优化问题的一种全局收敛的下降算法

A descent algorithm with global convergence for inequality constraint optimization problem

归纳总结出高中生解不等式时存在的困难点，以及对影响学生产生困难的因素进行分析。

Summarizes the learning difficulties of high school inequality , as well as to analyze the impact of pupils with learning difficulties factors .

提出了一类解不等式约束优化问题的神经网络，并针对几个党见的约束优化问题给出了相应的网络求解公式。

Neural networks for a class of constrained optimization problems is presented , and network formulations for several common constrained optimization problems are given .

本文应用同余理论，提出一种解不等式组的代数方法，用以确定旅客列车的合理开车范围。

An algebraical method of solving sets of inequalities by applying congruence theory is presented to determine the reasonable time range for a passenger train to start .

一方面，解不等式在整个高中阶段教学内容不多，但由于它的基础性和工具性作用，解不等式在数学教学中有着重要的地位；

On the one hand , though the solving of inequalities is not an important part in the senior high school mathematics , it is of great importance in the teaching of mathematics due to its basal and instrumental functions ;

阻尼Gauss-Newton方法解非线性不等式组

Damped Gauss-Newton method for solving nonlinear inequalities

其次，在假设生成元满足随机Lipschitz条件下，利用方程的解的不等式估计性质，构造压缩映射证明了这类方程解的存在性与唯一性。

Secondly , under the assumption of the generator satisfied stochastic Lipschitz condition , we also obtained a existence and uniqueness result by constructing contraction mapping based on some priori inequality estimates .

提出一种新的序列线性方程组（SSLE）算法解非线性不等式约束优化问题。

In this paper , a new sequential system of linear equations ( SSLE ) algorithm for the solution of inequality constrained optimization problems are considered .

解线性不等式组的松弛直交变换法

The relaxation and orthogonal transformation method for solving linear inequalities

10、11年级学生解代数不等式方法及其障碍研究

Research of How Students Solve Inequalities and Handicap in Grade 10 and 11

解线性不等式组的一个简便方法

A Convenient Method of Solving Linear Inequalities

运用李亚普诺夫稳定性理论给出观测器稳定的充分条件，并用线性矩阵不等式方法表示了其充分条件，通过解矩阵不等式得到观测器的增益矩阵。

According to the theory of Lyapunov , the sufficient conditions maintained the stability of the observer . The conditions were expressed via linear matrix inequalities ( LMIs ), so gain matrix L2 can be obtained by solving the LMIs .

进一步，本文将新的杂交共轭梯度公式与广义梯度投影方法相结合，并利用处理任意初始点的方法和技巧，得到一个新的初始点任意的解非线性不等式约束优化问题的广义梯度投影算法。

Further , by combining the new hybrid conjugate gradient formula with the generalized gradient projection method , and using the method and technology for dealing with arbitrary initial point , we get a new generalized gradient projection algorithm with arbitrary initial point for nonlinear inequality constrained optimization problems .

渐近投影法解变分不等式的Cesáro平均算法

Ces á ro Average Algorithm of Proximal Projection Methods for Variational Inequalities

滚动H∞控制方法较好的解决了控制系统中的控制约束和状态约束问题，并且在线优化鲁棒性能，其核心算法是解线性矩阵不等式组。

Moving horizon H ∞ control is an excellent scheme to deal with control constraint and state constraint , and it can also optimize H ∞ performance on line .

解变分不等式的超梯度Mann迭代算法

Extragradient Mann Iterative Method for Solving Variational Inequality Problem

将VIP（X，F）转化为混合非线性互补问题，提出了一种解变分不等式的拟牛顿法。

The problem VIP ( X , F ) can be reformulated as a mixed nonlinear complementarity problem . A generalized Newton-like method for solving variational inequalities was presented .

在近十年内，随着数学领域内解线性矩阵不等式（LMI）的内点法的出现，线性矩阵不等式的解法有了突破性的进展。

Along with the appearance of interior point algorithm in the past ten years , Linear Matrix Inequalities ( LMI ) has make out a good solution .

一致和非一致抛物型方程广义解的Harnack不等式

On Harnack Inequality for Generalized Solutions of Uniformly and Non-Uniformly Parabolic . Equations

应用LMI把相关性能指标约束对应的不等式问题转化为凸优化问题，最后通过解线性矩阵不等式，得到满足性能指标要求的控制器。

Applying LMI , the inequality problems corresponding to the constraints of performance indexes are transformed to convex optimization problems , and the controller satisfying performance indexes are obtained by solving LMI with Matlab .

根据KKT条件，最优解处的不等式约束可以转化为等式约束，得到了模型的最优解，该最优解对于实时调整传感器网络的感知/发射半径具有很强的指导意义。

From the KKT theorem , the corresponding inequalities become equalities at the optimal solution . Furthermore , the optimal solution of the given model is gained , which is instructive for tuning the sense / transmission radius of the sensor network in a real-time way .

解变分不等式的广义拟牛顿法

A Generalized Newton-Like Method for Solving Variational Inequalities

引言牛顿型方法是解变分不等式的一类重要数值迭代算法。

We establish a quasi-Newton algorithm for solving a class of variational inequality problems which subproblems are linear equations .

该问题弱解的能量不等式和抛物单调不等式在证明弱解的正则性时起关键作用。

The energy inequality and parabolic monotonicity inequality is essential for the regularity of a weak solution to this problem .

通过解这些矩阵不等式得到状态反馈增益矩阵。

The conditions are expressed as linear matrix inequalities ( LMIs ), so the feedback gain matrix can be obtained by solving the LMIs .

为此先推导离散格林函数的权模估计和有限元解的渐近不等式展开，然后给出公式的证明。

For this , we derive the weighted estimates for discreet Green function and the asymptotic error expansion inequalities , and then the proofs of the formulas are given .

在不考虑鞍节分岔点的情况下，ATC问题的解主要受制于不等式约束。

Without considering the Saddle-node Bifurcation problem , the solution of ATC is mainly decided by those inequation constrains .

散度型拟线性椭圆型方程组弱解的Harnack型不等式

The Harnack Type Inequality for Bounded Solutions of Quasi-linear Elliptic Systems in Divergence Form