Transcript
![Page 1: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/1.jpg)
Chapter 3 Interpolation and Polynomial Approximation
4.3 Lagrange Approximation
![Page 2: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/2.jpg)
![Page 3: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/3.jpg)
![Page 4: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/4.jpg)
![Page 5: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/5.jpg)
![Page 6: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/6.jpg)
![Page 7: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/7.jpg)
![Page 8: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/8.jpg)
![Page 9: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/9.jpg)
![Page 10: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/10.jpg)
![Page 11: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/11.jpg)
1.3.1 Error Terms and Error Bounds
![Page 12: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/12.jpg)
![Page 13: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/13.jpg)
![Page 14: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/14.jpg)
![Page 15: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/15.jpg)
![Page 16: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/16.jpg)
1.3.2 Comparison of Accuracy and O(hN+1)
![Page 17: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/17.jpg)
![Page 18: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/18.jpg)
![Page 19: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/19.jpg)
![Page 20: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/20.jpg)
![Page 21: Chapter 3 Interpolation and Polynomial Approximation](https://reader030.vdocuments.us/reader030/viewer/2022012819/56814025550346895dab83b9/html5/thumbnails/21.jpg)
function [C,L]=lagran(X,Y)w=length(X);n=w-1;L=zeros(w,w);for k=1:n+1 V=1; for j=1:n+1 if k~=j V=conv(V,poly(X(j)))/(X(k)-X(j)); end end L(k,:)=V;endC=Y*L;