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Chapter 3 Interpolation and Polynomial Approximation

Chapter 3 Interpolation and Polynomial Approximation. 4.3 Lagrange Approximation. 1.3.1 Error Terms and Error Bounds. 1.3.2 Comparison of Accuracy and O(h N+1 ). 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

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Chapter 3 Interpolation and Polynomial Approximation

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  1. Chapter 3 Interpolation and Polynomial Approximation 4.3 Lagrange Approximation

  2. 1.3.1 Error Terms and Error Bounds

  3. 1.3.2 Comparison of Accuracy and O(hN+1)

  4. 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; end C=Y*L;

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