文档介绍：Hefei University
毕业论文(设计)
BACHELOR DISSERTATION
论文题目: 基于matlab的数值计算中的优化技术
学位类别: 理学学位
学科专业: 信息与计算科学
基于matlab的数值计算中的优化技术
中文摘要
优化是人们寻求的目标,数值计算中优化技术采用的好,能从时间与空间上得到巨大的好处。一个算法除了正确外,还要空间能存贮程序数据,且运行时间短,因而算法优化技术就很重要,一个程序无法存贮到计算机内存中,或运行时慢得无法等候是没有任何实际意义的。由于数值计算的优化技术有很多方面,为此选用数值积分进行说明,数值积分计算有很多的方法,用不同的方法所计算的积分精确度不同,所需要的时间也不同,通过一些实例的分析,对优化技术进行归纳与总结。
本论文是基于matlab在数值计算中的优化技术,优化技术是算法设计的重要而关键的课题,本论文选取数值分析中的一些著名的优化技术进行讨论,并在matlab中加以实现,通过tic、tuc、cputime等函数的使用对其进入深入分析。
关键字:数值计算;优化技术;matlab;数值积分
Numerical optimization technique based on MATLAB
ABSTRACT
Optimization is that people seek target and numerical optimization technique used is good. It can get huge benefits from the time and space. An algorithm not only in order to right, but also space can store data, and short running time. So the algorithm optimization technique is very important and a program cannot be stored in puter memory, or run slow and practical of significance. The optimization technology of numerical calculation is used in many respects. The numerical integration is described and numerical integral calculation has many methods. Integral accuracy is calculated by different methods and the time required is different also, and through the analysis of some examples, and summarizes the optimization technique.
This paper is to optimize the technology based on MATLAB in the numerical calculation. Optimization technique is the key task in the algorithm design, this paper selects some well-known optimization techniques in numerical analysis are discussed, and implemented in MATLAB, through in-depth analysis using tic, tuc and cputime and other functions of the entry.
KEYWORD: numerical calculation; optimization techniques;MATLAB;numerical integration
第一章前言 1
第二章数值积分的计算 2
数值求积公式的构造 2
2
-科特斯求积公式 4
复化求积公式 6
6
6
7
高精度数值积分算法 7
龙贝格求积公式 8
第三章线性方程组的求解 10
10
线性方程组的迭代法 11
Jacobi迭代法 11
Gauss