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This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容,包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵,同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

To solve a heavily constrained optimization problem includes linear constraint conditions and non-linear constraint conditions, in this paper, a new comprehensive solution mechanism, based on specialized genetic operators, exact penalty function and initialization with multiple linear feasible solutions, is proposed.

针对一类同时具有线性约束条件和非线性约束条件的重约束优化问题,本文成功地综合采用了专门化遗传算子、精确惩罚函数及多个线性可行解初始化的求解方法,取得了很好的效果。

Using the result for non-restricted model, we transform the restricted model to common model, and multi collectivity model to single collectivity model, thus, the necessary and sufficient conditions that nonhomogeneous linear estimators for Sβ are admissible in the class of nonhomogeneous linear estimators are obtained which filled the blank for admissibility for restricted linear model.

对线性等式约束的共同均值线性模型,利用无约束单总体模型的现有结果,通过适当变换,把等式约束模型向无约束转换,并把多总体转换为单总体,在矩阵损失下找到了均值参数β的条件可估函数Sβ的线性估计∑mAiyi+a在非齐次线性估计类中可容许的充要条件,填补了等式约束的共同均值线性模型可容许性方i=1面的空白。

The main characteristics of linear compression is on various halftoning section of the adjustment of the scale, linear compressed and does not represent a real Visual scale compressed because it is non-linear curve D-Y, after the compression, the light to mediate human eyes not easily distinguished, producing a flat "" ash.

线性压缩的主要特征是对各阶调段等比例的调整,线性压缩并不代表真正的视觉上的等比例压缩,因为D-Y曲线也是非线性的,经过这种压缩后,亮调处人眼不容易辨别,产生&灰平&现象。

The main characteristics of linear compression is on various halftoning section of the adjustment of the scale, linear compressed and does not represent a real Visual scale compressed because it is non-linear curve D-Y, after the compression, the light to mediate human eyes not easily distinguished, producing a flat "" ash.

线性压缩的主给特征是不对各阶调段等比例的调零,线性压缩并不代表假冒的触觉上的等比例压缩,因为D-Y弧线也是否线性的,经功这种压缩后,平调停人眼不便当鉴别,爆不收&灰陡&本体。

With the rapid development of electronic technology, a large amount of non-linear load has appeared in the power system, while absorbing the power of the principal wave , these non-linear load will produce a large number of harmonic wave and pour them into the power system.

随着电力电子技术的迅速发展,电力系统中出现了大量的非线性负荷,它们在吸收基波功率的同时,产生大量的谐波注入电力系统。

Linear displacement Linear Hall sensor Non-linearity Structure of Alnico Non-contact measurement Distribution of magnetic field

直线位移;线性霍尔传感器;非线性;磁铁结构;无接触测量;磁场分布

It was evidenced that the rolling-pass of the Mannesmann rolls is non-linear and the non-linear barrel-shaped rolls are unfavourable for further increasing the production capacity with high effeciency and improving the tube quality.

为了发展我国钢管制造技术,我们从1975年起研究折线轧辊下的变形区,给出它的曲面方程式和子午线方程式,证明了变形区是非线性的。

It describes the basic steps to make special project films with the non-linear editing system and issues to be noted as well as the trend in development of non-linear editing technique.

介绍了运用非线性编辑系统制作水电站工程专题片的基本步骤和需要注意的问题,以及非线性编辑技术的发展趋势。

A new non-linear quadratic programming Bayesian prestack three-terms inversion method is developed; Firstly, this method is based on Bayesian parameter estimation theory, Gaussian distribution is used for likelihood function and modified Cauchy distribution is used for prior distribution; Secondly, covariance matrix is used to describe the degree of correlation between the parameters; rock physics relations are used to constrain the inversion results; at last, this method is transformed into non-linear quadratic programming problem, and inversion results are acquired under several constraints.

本文提出了一种基于非线性二次规划的叠前三参数反演方法。首先基于贝叶斯参数估计理论,假设似然函数服从高斯分布,并使待反演的参数服从于改进的Cauchy分布,从而提高了反演结果的分辨率;其次用协方差矩阵来描述参数间的相关程度,进一步提高了反演结果的稳定性;最后将问题转化为一个非线性二次规划的求解问题,并在多种约束下得到问题的解。

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