查询词典 quadratic

The local superlinear or quadratic convergence rate is also obtained under the condition that the solution is R-regular. 4. For NCPs and MCPs, by eliminating the multiplier parameters from above merit functions, some new simple smooth merit functions without any parameters are obtained respectively. For the P〓-function any stationary points of the merit functions are the solution of the problems.

对于互补和混合互补问题，通过消去乘子的技巧性工作，分别构造了新的不含任何参数的一类光滑价值函数，它们结构简单，在P〓-函数情形便可保证其稳定点是互补问题之解，不仅具备类似著名Fischer-Burmeister函数的良好微分性质，且强制性方面更优，同时对线性问题也保持了其线性性质。

Based on the statistical learning theory and optimization theory, SVMs have been successfully applied to many fields such as pattern recognition, regression and etc.Training an SVM amounts to solving a convex quadratic programming problem.

它将机器学习问题转化为求解最优化问题，并应用最优化理论构造算法来解决问题，本文主要是从最优化理论和算法的角度对支持向量机中的最优化问题进行研究。

The problem of pricing American options using the quadratic approximation method with stochastic volatility and jumps is considered in the second part of the thesis.

而论文的第二个部分是研究随机波动模型如何扩展到美式选择权上的应用，考虑在可能提早履约的情境下，标的物之随机波动性与代表突发冲击事件之跳跃模式，如何来影响提早履约溢酬的问题。

A good property of the method is that the objective function of the trust-region subproblem is a strictly convex quadratic function.

数值结果表明，采用非单调搜索的MBFGS方法比单调的BFGS方法的数值效果明显要好。

Consequently, when applied to minimize a strictly convex quadratic function, the proposed methods terminate at the solution of the problem finitely.

因此，当目标函数是严格凸的二次函数，且采用精确线性搜索时，这些修正的共轭梯度法具有共轭性和二次终止性。

Optimization; parametric quadratic convex programming; set-valued map; directional derivative; linear stability; solution-set map; parametric linear programming; error bound; subdifferential map; lower locally directionally Lipschitzian; upper locally di-rectionally Lipschitzian; locally directionally Lipschitzian; convex function; quasidiferential; kernelled quasidiferential; quasi-kernel; star-kernel; star-diferential; Penot diferential; subderivative; superderivative; epiderivative; set-valued optimization; set-valued analysis; subdifferential; optimization condition;ε-dual; scalization; generalized subconvexlike-cone;ε-Lagrange multiplier

基础科学，数学，运筹学最优化；集值映射；方向导数；线性稳定；最优解集映射；参数线性规划；参数凸二次规划；误差界；次微分映射；下局部方向Lipschitzian；上局部方向Lipschitzian；局部方向Lipschitzian；凸函数；拟微分；核拟微分；拟核；星核；星微分； Penot-微分；上导数；下导数； Epi-导数；集值优化；集值分析；集值映射的次微分；最优性条件；广义锥次类凸；ε-对偶；数乘；ε-Lagrange乘子

A successive approximation algorithm of designing optimal disturbances rejection controllers is developed with respect to quadratic performance indexes.

关于二次型性能指标给出了一种设计最优扰动抑制控制律的逐次逼近方法。

The ordinary criterion is that the forcing sequence is summable or quadratic summable.

2我们给出了一个新的不精确邻近点算法，放宽了近似准则。

In this paper, the inertial theorem of real symmetric matrix has been proved by three methods in three aspects: the relationship between real symmetric matrix and real quadratic form, the relationship between real symmetric matrix and symmetric bilinear function of real linear space.

从实对称矩阵与实二次型的联系、实对称矩阵与实线性空间的对称双线性函数的联系以及将实对称矩阵作为研究主体这三个角度，介绍实对称矩阵的惯性定理的三种证明，以期加深对实对称矩阵的惯性定理的理解。

It is modelled as a coupled system of nonlinear partial differential equations with quadratic growth in the gradient of one of the unknowns.

这是一个在方程组中含有梯度为二次增长的非线性偏微分方程问题。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。