线性优化

Based on three-points quadratic interpolation ,an algorithm is provided for solving nonlinear equation.

利用优化技术中的三点二次插值法求解，在不需要计算导数的情况下给出一种具有超线性收敛的迭代算法。

The superlinear convergence property of the algorithm is proved in this paper, and compared with the Tensor algorithm. It is proved that this method is more efficient for solving unconstrained optimization whose object function is of rank one defect.

文中证明了该算法是一个具有超线性收敛的算法，并且把修正的BFGS算法同Tensor方法进行了数值比较，证明了该算法对求解秩亏一的无约束优化问题更有效。

Robust programming is, as stochastic programming, an attempt to capture uncertainty in the data underlying the optimization problem.

半定规划是一个子字段的凸优化的基本变量半矩阵。这是泛化的线性和凸二次规划。

And the structure reliability formula based on the improved vertex method was suit to multi-fuzzy variable and non-linear system.

针对模糊－模糊干涉模型和线性结构系统应用一般的顶点法给出了求解结构模糊可靠度计算公式；对具有多模糊变量非线性结构系统用改进的顶点法优化模型给出了求解结构模糊可靠度计算公式。

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

LC1 unconstrained optimization problem was discussed in the second chapter, giving a new trust region method and proving its global convergence and superlinear convergence under some mild conditions .

第二章讨论了LC~1无约束优化问题。给出了一个新的信赖域算法，并在一定的条件下证明了算法的全局收敛性和局部超线性收敛性。

The researches of parallel computing in chemical process simulation and optimization are mainly aimed at solving a large sparse system of linear equations.

并行计算在化工模拟与优化问题中的应用研究主要集中于求解稀疏大型线性方程组。

A hypothesis to ensure the tenability of a second-order-sufficient-condition of a linear support vector classifier is presented in the paper, which is a weak one for the solution of a linearly separable support vector classifier must meet it.

针对线性支持向量分类机优化问题，研究了其解的二阶充分条件，给出了二阶充分条件成立的假设条件。

Through a series of tests and optimization, a multivariable linear regression model for total oil consumption per 50 kilometers and its seven key influencing factors can be written as follows

通过一系列的测试和优化，本论文找到了总耗油量和着七个重要影响因子之间的多元线性回归关系的数学表达式

There are four parts in this thesis, the main works of author are summarized and presented as follows:1. Multivariate curve resolution with alternating least squares and alternating trilinear decomposition are applied in the resolution of overlapping peaks of camptothecin and 7-ethyl-10-hydroxy- camptothecin (SN-38) from HPLC-DAD.

全文共分四章，作者的主要工作有以下三个方面：一、采用HPLC-DAD检测，结合多元曲线分辨-交替最小二乘和交替三线性分解方法对未优化的色谱分离条件下产生的7-乙基-10-羟基喜树碱(SN-38)和喜树碱的严重重叠的色谱峰进行分辨。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。