Permalink
Cannot retrieve contributors at this time
Name already in use
A tag already exists with the provided branch name. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. Are you sure you want to create this branch?
ME3255F2017/15_challenger-logistic/Newtint.m
Go to fileThis commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
34 lines (33 sloc)
1.01 KB
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
function yint = Newtint(x,y,xx) | |
% Newtint: Newton interpolating polynomial | |
% yint = Newtint(x,y,xx): Uses an (n - 1)-order Newton | |
% interpolating polynomial based on n data points (x, y) | |
% to determine a value of the dependent variable (yint) | |
% at a given value of the independent variable, xx. | |
% input: | |
% x = independent variable | |
% y = dependent variable | |
% xx = value of independent variable at which | |
% interpolation is calculated | |
% output: | |
% yint = interpolated value of dependent variable | |
% compute the finite divided differences in the form of a | |
% difference table | |
n = length(x); | |
if length(y)~=n, error('x and y must be same length'); end | |
b = zeros(n,n); | |
% assign dependent variables to the first column of b. | |
b(:,1) = y(:); % the (:) ensures that y is a column vector. | |
for j = 2:n | |
for i = 1:n-j+1 | |
b(i,j) = (b(i+1,j-1)-b(i,j-1))/(x(i+j-1)-x(i)); | |
end | |
end | |
%b | |
% use the finite divided differences to interpolate | |
xt = 1; | |
yint = b(1,1); | |
for j = 1:n-1 | |
xt = xt*(xx-x(j)); | |
yint = yint+b(1,j+1)*xt; | |
end |