问题求解

The general form of solution for the non symmetric matrix A is given, the expression of optimal approximation solution is presented, and an algorithm for solving the problem is described. The total least squares problem with symmetric and bisymmetry constraints is discussed respectively. A sufficient condition for existence of solution is derived by use of the theory of matrix Ricaati equation. The general form of solution is given if the problem has a solution, and the expression of optimal approximation solution is presented. Some numerical examples are given.

对矩阵A是非对称情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，并给出了其解的表达式，描述了求解问题的算法；讨论了带对称和双对称约束的总体最小二乘问题，利用Ricaati矩阵方程的理论得到了解存在的一个充分条件，分别对对称矩阵和双对称矩阵两种情形，给出了解的一般表达式，证明了最佳逼近问题解的存在唯一性，给出了其解的表达式，提出了求解这些问题的算法，并给出了数值例子。

First, we discuss the noncharacteristic Cauchy problem for 1-D heat equation.

首先，对一维的热传导方程的非特征Cauchy问题，我们利用边界积分方法将问题的求解转化成解积分方程组的问题，再对积分方程组进行离散化来数值求解，最后的数值结果表明我们的算法是有效的。

An optimization model for combinatorial double auction based on integer programming method is established and transformed into single-sided auction,which will benefit to solve combinatorial double auction with the method used for single-sided auction and to make the problem much more easier.

本文运用整数规划的方法建立了一个组合双向拍卖问题的一般化模型，并通过逐步转化，把组合双向拍卖简化为单边拍卖，有助于利用求解单边拍卖的方法来求解复杂的双向拍卖问题，使这一问题的研究得到了简化。

This paper is devoted to solving linear saddle point problems, Specifically, We consider nonsymmetric systems, written as usual in block form, where the upper left block is an invertible linear operator with positive definite symmetric part. Such saddle point problems arise, for example, in certain finite element and finite difference discretizations of NavierStokes equations, Oseen equations, and mixed finite element discretization of second order convection-diffusion problems.

中文题名求解鞍点问题的迭代方法副题名外文题名论文作者冯丽红导师曹志浩教授学科专业计算数学研究领域\研究方向学位级别博士学位授予单位复旦大学学位授予日期2002 论文页码总数87页关键词鞍点问题迭代方法网格离散线性方程组馆藏号BSLW /2003 /O241 /15 论文针对鞍点问题的求解分析了一些典型的快速算法。

Using this the problem can be summarized into scattering of SH-wave around an elliptic cavity in full space. Finally, the solving can be reduced to the solution of a series of algebraic equations.

应用这一波函数，将半空间中的问题转化为求解一个全空间中椭圆形孔洞的散射问题，最终将问题归结对一组无穷代数方程组的求解。

But, when the problem scale is getting larger, the number of feasible solutions provided by constraint programming is also getting too huge and it very difficult to solve the whole problem with a reasonable computation.

但是当问题范围增大时，限制规划求解的困难度也随之增加。因此，期望这项问题可以作为未来研究限制规划求解人员排班问题的一个改进方向。

In Chapter 4 we investigate several cases of recovering camera parameters from the fundamental matrix that describes the epipolar geometry of two images.

正如计算机视觉中的许多问题一样，摄像机自定标求解的问题可以归结为一组非线性多项式方程组的求解问题。

The method is also used in the solution of inverse problem of environmental hydraulics and a satisfactory result is achieved by using this method.

重点的讨论了不适定问题的正则化方法，在此基础上，构造了一个求解不适定问题的最佳摄动迭代法，并把它应用在环境水力学反问题的求解中，取得了满意的结果。

In specific applications expression : in compressed natural language describes various examples of the basic algorithm, using MATLAB as a programming language, a series of the combined limit, the bonus points will be combined, one graphics area and the length of the horizontal curve equations, and curve tangent process, the rotary body size and shape combined several process issues.

在具体应用中的体现：以简练的自然语言描述了各实例的基本算法，运用MATLAB作为编程语言，实现了数列极限的求解、定积分的求解、平面图形面积及平面曲线长度的求解、求曲线切线的过程、旋转体体积的求解及其形成过程等几个问题。

The experiment results show that the genetic algorithm is effective for resource levelling problem.

对标准问题库PSPLIB中大量问题的求解实验结果表明，遗传算法是求解该问题的一种有效算法。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。