《数值分析》课程PPT教学课件（英文版）Chapter 03 Interpolation and polynomial Approximation 3.1 Taylor Series and Calculation of Functions

《数值分析》课程PPT教学课件（英文版）Chapter 01 The Solution of Nonlinear Equations 1.4 Newton-Raphson and Secant Methods

《数值分析》课程PPT教学课件（英文版）Chapter 02 Numerical Integration 2.1 Introduction to Vectors and Matrices

《数值分析》课程PPT教学课件（英文版）Chapter 01 The Solution of Nonlinear Equations 1.2 Bracketing Methods for Locating a Root

《数值分析》课程PPT教学课件（英文版）Chapter 02 Numerical Integration 2.6 Iterative Methods for Linear Systems

《数值分析》课程PPT教学课件（英文版）Chapter 01 The Solution of Nonlinear Equations 1.3 Initial Approximation and Convergence Criteria

Theorem 3.7. (Elementary Transformations). The following opera- tions applied to a linear system yield an equivalent system: ()Interchange: The order of two equations can be changed. (2)Scaling: Multiplying an equation by a nonzero constant. (3)Replacement: An equation can be replaced by the sum of itself and a nonzero multiple of any other equation

Example 1. 1. The iterative rule po 1 and pk+1= 1.001pk for k=0, 1,..pro- duces a divergent sequence. The first 100 terms look as follows: P1=1.0170=(1.001010001.00100 p2=1011=(1001)(1.0000001 3=1012=(1001)(1.002011.00300 p100=1.0019(1.001)(1.104012)=1.105116

4 .1 字符串 4.2 字符串的模式匹配 4.3 数组 4.4 特殊矩阵

1、压缩映象与压缩映象原理。 2、利用压缩映象原理解微分方程、积分方程和代数方程组