基于matlab的数值逼近仿真设计与实现.docVIP

基于Matlab的数值逼近算法仿真设计与实现 摘 要：数值计算方法是计算机及相关专业的重要基础理论之一，是程序设计和软件开发的基础。Matlab是当前最为优秀的科学计算软件之一，也是许多科学领域中分析、应用和开发的基本工具。 经过多年的发展，Matlab已经成为一种功能全面的软件，几乎可以解决科学计算中的所有问题。由于其编写简单，代码效率高，Matlab广泛应用于计算机通信、信号处理、数值计算等领域。Matlab是一种面向科学与工程计算的高级语言，它提供了强大的矩阵处理和绘图功能，给出了一个融合计算、可视化和程序设计的交互环境，操作简便。 本设计以Matlab为编程语言和开发环境，对数值逼近算法进行编程实现，并进行图形化描述。所有结果表明，采用不同的逼近方法，利用Matlab编程可以简单、有效地实现函数逼近。 关键词：Matlab； 函数逼近； 拉格朗日插值； 曲线拟合 Design and Realization of numerical Approximation algorithm based on Matlab Abstract: Numerical calculation method is a basic theory of professional computer and related, it is a basic of programming and software development. Matlab is one of the most outstanding scientific calculation software, but also is many science analysis, application and development of the basic tools. After years of development, Matlab has become fully functional software; it can solve almost all problems in scientific computing. Due to its simple preparation, high efficiency, Matlab is widely applied in the computer communication, signal processing, numerical calculation and other areas. Matlab is oriented to science and engineering calculation of high-level language; it provides strong matrix processing and drawing functions, gives a fusion calculation, visualization and the program design of the interactive environment, simple operation. The design use Matlab as programming language and development environment, the numerical approximation algorithm for programming, and a graphical description. All the results show that, using different approximation methods, the use of Matlab programming can be simple, effective realization of function approximation. Key words: Matlab, function approximation, Lagrange interpolation, curve fitting 目 录 第1章 绪 论 1 1.1 背景 1 1.1.1 Matlab的发展 1 1.1.2 数值逼近 2 1.1.3 研究意义 3 1.2 论文结构 3 第2章 MATLAB简介 4 2.1 基本功能 4 2.2 基本应用 5 2.3 系统结构 6 2.3.1 MATLAB开发环境 6 2.3.2 MATLAB数学函数库 7 2.3.3 MATLAB语言 7 2