Chapter 3 Interpolation and Polynomial Approximation Numerical Analysis
![Newton Divided Difference: Example xi 1. 0 f(xi)=f[xi] 0. 7651977 1. 3 0. 6200860](https://slidetodoc.com/presentation_image/2e941ecd36ee951d96f86e2ea809c45e/image-18.jpg "Newton Divided Difference: Example xi 1. 0 f(xi)=f[xi] 0. 7651977 1. 3 0. 6200860")
![xi 1. 0 f(xi)=f[xi] 0. 7651977 1. 3 0. 6200860 1. 6 0. 4554022](https://slidetodoc.com/presentation_image/2e941ecd36ee951d96f86e2ea809c45e/image-27.jpg "xi 1. 0 f(xi)=f[xi] 0. 7651977 1. 3 0. 6200860 1. 6 0. 4554022")
![Newton Divided Difference: Example xi 1. 0 f(xi)=f[xi] 0. 7651977 1. 3 0. 6200860](https://slidetodoc.com/presentation_image/2e941ecd36ee951d96f86e2ea809c45e/image-29.jpg "Newton Divided Difference: Example xi 1. 0 f(xi)=f[xi] 0. 7651977 1. 3 0. 6200860")
- Slides: 71
Chapter 3 Interpolation and Polynomial Approximation Numerical Analysis
Theory of Weierstrass
Interpolation: Overview
Interpolation: Overview
Interpolation: Overview
Lagrange Polynomial
Lagrange Polynomial
Lagrange Polynomial
Lagrange Polynomial
Lagrange Polynomial: Example
Lagrange Polynomial: Example
Lagrange Polynomial: Example
Divided Difference
Divided Difference
Divided Difference
Newton Divided Difference: Example
Newton Divided Difference: Example xi 1. 0 f(xi)=f[xi] 0. 7651977 1. 3 0. 6200860 1. 6 0. 4554022 1. 9 0. 2818186 2. 2 0. 1103623 1 st Divided Diff 2 nd Divided Diff 3 rd Divided Diff 4 th Divided Diff -0. 4837057 -0. 5489460 -0. 5786120 -0. 5715210 -0. 1087339 -0. 0494433 0. 0118183 0. 0658784 0. 0680685 0. 0018251
Newton Divided Difference: Example คาประมาณท x=1. 8 มคาเทาไร
Forward Divided Difference
Forward Divided Difference
Forward Divided Difference
Backward Divided Difference
Backward Divided Difference
Backward Divided Difference
Newton Divided Difference: Example
xi 1. 0 f(xi)=f[xi] 0. 7651977 1. 3 0. 6200860 1. 6 0. 4554022 1. 9 0. 2818186 1 st Divided Diff 2 nd Divided Diff 3 rd Divided Diff 4 th Divided Diff -0. 4837057 -0. 5489460 -0. 5786120 -0. 1087339 -0. 0494433 0. 0118183 0. 0658784 0. 0680685 Example (Newton -0. 5715210 Divided Difference) 2. 2 0. 1103623 0. 0018251
Newton Divided Difference: Example
Newton Divided Difference: Example xi 1. 0 f(xi)=f[xi] 0. 7651977 1. 3 0. 6200860 1. 6 0. 4554022 1. 9 0. 2818186 2. 2 0. 1103623 1 st Divided Diff 2 nd Divided Diff 3 rd Divided Diff 4 th Divided Diff -0. 4837057 -0. 5489460 -0. 5786120 -0. 5715210 -0. 1087339 -0. 0494433 0. 0118183 0. 0658784 0. 0680685 0. 0018251
Newton Divided Difference: Example
Hermite Interpolation
Hermite Interpolation
Hermite Interpolation
Hermite Interpolation
Hermite Interpolation
Hermite Interpolation: Example
Hermite Interpolation: Example
Hermite Interpolation: Example
Cubic Spline Interpolation
Cubic Spline Interpolation
Cubic Spline Interpolation
Cubic Spline Interpolation
Cubic Spline Interpolation
Cubic Spline Interpolation
Cubic Spline Interpolation
Cubic Spline: Example
Cubic Spline: Example
Cubic Spline: Example
Cubic Spline: Example
Cubic Spline: Example
Cubic Spline: Example
Cubic Spline: Example
Cubic Spline: Example
Cubic Spline: Example
Cubic Spline: Example
Cubic Spline: Example
Cubic Spline: Example
Least Square Method
Least Square Method
Least Square Method
Least Square Method
Least Square Method: Example
Least Square Method: Example
Least Square Method: Example
Least Square Method
Least Square Method: Example
Least Square Method: Example