convex function的例句大全

Furthermore, we show that the constant modulus cost function with non canonical constraint is strictly convex under some conditions.

然后证明具有非标准约束的常数模准则在适当条件下是严格凸的。

Using separation theorem of convex set and the time terminal value function equation, we obtain the determining method of optimal terminal time as well as the Maximum principle.

由凸集分离定理及终端时间阈值函数方程，我们获得了最大值原理及最优控制时间的确定方法。

Second Order Conditions for Minimization of Convex Composite Function

凸复合函数极小化的二阶条件

For the continuous global optimization problems, a new convex filled function is given, which has two easily determinable parameters and overcomes some drawbacks of traditional convex filled function in calculation.

对连续的非线性全局最优化问题，给出了一个新的凸填充函数，该函数带有两个容易调节的参数，它克服了原有的凸填充函数在计算上的不足之处；

By norm consistency principle and triangle inequality, the problems of minimizing the Frobenius norm of jump vector and the upper bound of quadratic cost function are turned into a convex optimization problem containing linear matrix inequalities constraints.

利用范数相容性原理和三角不等式，将最小化跳变向量Frobenius范数和二次型成本函数上界问题转化为一个具有线性矩阵不等式约束的凸优化问题。

An Extensiveness on the Concave-convex Property of Function through Formula of Taylor

用泰勒公式研究函数凹凸性的一种拓广

we discuss with emphasis constructing osculatory rational interpolating function ( or vector-valued osculatory rational interpolating function, matrix-valued osculatory rational interpolating function) by the method of convex combination, and we also discuss the method of reducing number of times of rational fraction.

重点讨论了构造一元数量值、向量值、矩阵值切触有理插值的凸组合方法以及降低有理分式函数次数的原则，然后将所给方法推广到二元的情形。

convex closure of saddle function

鞍函数的凸闭包

some relationships among the support function and indicator function of a convex set and their second-order epi-derivatives are given.

利用集合的表示函数、支撑函数、距离函数和投影等研究闭凸体的典范表示及点到边界的投影特征。

in theory, rpo is a non-convex and multimodal complex optimization problem involving nonlinear objective function, nonlinear equality and inequality constraints and both continuous and discrete variables. it is quite difficult to be solved quickly and accurately.

在理论研究中，无功优化是一种同时具有连续变量和离散变量、具有非线性的目标函数、非线性的等式和不等式约束的复杂优化问题，其快速准确求解相当困难。

in these models, the localization problem is modeled as a convex optimization problem which takes the minimum distance error as the objective function, and the distance between nodes as the constraints, and then relaxed to an easy problem by related relaxation techniques.

模型中以最小化节点间距离误差为目标函数，节点间距离为约束，将节点定位问题建模成一个凸优化问题，并利用相关松弛技术将模型松弛为容易求解的问题。

Experiments on springback in concave and convex edge flanging are carried out. Method of the mixed-level orthogonal test design is used to select the training sets from experiment data, and a radial basis function ( RBF) neural network model for springback is developed.

对薄板内凹、外凸翻边进行了回弹试验，借助混合水平的正交试验设计方法从试验数据中选择训练样本，建立了回弹的径向基函数神经网络模型。

Application of Support Function of Convex Curve in the Vessel Cross-sectional Reconstruction

卵形线支撑函数在血管截面重建中的应用

Global convergence for the algorithm is established under the assumption that the objective function is bounded from below, The authors also generalize the algorithm to constrained convex optimization and obtain the convergence that is the same as unconstrained algorithm.

此外还把算法推广到约束凸规划问题，得到了与无约束问题同样的收敛结果，如果约束是线性的，则算法是数值可行的。

Discrimination Method of Convex Fuzzy Function

凸模糊函数判别法

We show that under appropriate conditions, the matrix sequence is convergent if the objective function is a strictly convex quadratic function.

我们证明在一定条件下，MBFGS算法用于求解严格凸二次函数极小值时产生的迭代矩阵序列是收敛的。

The training task involves optimization of a convex cost function: there are no false local minima to complicate the learning process.

算法的训练过程本质上是求解一个二次凸优化问题，不存在局部极值问题，从而避免使学习过程复杂化。