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Newton Method, Broyden Method 2-Numerical Analysis-MATLAB Code, Exercises of Mathematical Methods for Numerical Analysis and Optimization

This is solution to one of problems in Numerical Analysis. This is matlab code. Its helpful to students of Computer Science, Electrical and Mechanical Engineering. This code also help to understand algorithm and logic behind the problem. This code includes: Newton, Method, Broyden, Function, Result, Algorithm, Systems, Define, Jacobian, Nonlinear, Inline, Conditional, Statement

Typology: Exercises

2011/2012

Uploaded on 07/31/2012

saripella
saripella 🇮🇳

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function [res] = JAC(I,J,M,V,ss)
% This function is used by Newton's Method for Systems and
% by Broyden's Method (Algorithms 10.1 and 10.2) to define
% the Jacobian.
if M == 2
g = inline(ss((I-1)*M+J),'y1','y2');
res = g(V(1),V(2));
elseif M == 3
g = inline(ss((I-1)*M+J),'y1','y2','y3');
res = g(V(1),V(2),V(3));
elseif M == 4
g = inline(ss((I-1)*M+J),'y1','y2','y3','y4');
res = g(V(1),V(2),V(3),V(4));
elseif M == 5
g = inline(ss((I-1)*M+J),'y1','y2','y3','y4','y5');
res = g(V(1),V(2),V(3),V(4),V(5));
elseif M == 6
g = inline(ss((I-1)*M+J),'y1','y2','y3','y4','y5','y6');
res = g(V(1),V(2),V(3),V(4),V(5),V(6));
else
g = inline(ss((I-1)*M+J),'y1','y2','y3','y4','y5','y6','y7');
res = g(V(1),V(2),V(3),V(4),V(5),V(6),V(7));
end;
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function [res] = JAC(I,J,M,V,ss) % This function is used by Newton's Method for Systems and % by Broyden's Method (Algorithms 10.1 and 10.2) to define % the Jacobian. if M == 2 g = inline(ss((I-1)M+J),'y1','y2'); res = g(V(1),V(2)); elseif M == 3 g = inline(ss((I-1)M+J),'y1','y2','y3'); res = g(V(1),V(2),V(3)); elseif M == 4 g = inline(ss((I-1)M+J),'y1','y2','y3','y4'); res = g(V(1),V(2),V(3),V(4)); elseif M == 5 g = inline(ss((I-1)M+J),'y1','y2','y3','y4','y5'); res = g(V(1),V(2),V(3),V(4),V(5)); elseif M == 6 g = inline(ss((I-1)M+J),'y1','y2','y3','y4','y5','y6'); res = g(V(1),V(2),V(3),V(4),V(5),V(6)); else g = inline(ss((I-1)M+J),'y1','y2','y3','y4','y5','y6','y7'); res = g(V(1),V(2),V(3),V(4),V(5),V(6),V(7)); end;

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