《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
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《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
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《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
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《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
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《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
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《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
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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
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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
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