QuestionQuestion

Implement the Quasi Newton Method using any programming language of your choice and provide at least two examples. Include citations in your report and submit all codes and solution outputs.

GUIDELINE:

You are expected to write a report similar to lecture notes or a book section, where the detailed description of the method, including how it is developed, is included.
Provide a literature review of the method, including publications where the method is applied in an area of science or engineering or any real-world modeling problem.
You must also implement the method using any programming language of your choice and provide at least two examples. Include citations in your report and submit all codes and solution outputs.

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These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

function [x, xl, fl, gfl] = QN(f, x0, eps, hesUpd)
    k = 0; n = length(x0);
         
    H = eye(n); xl = []; gfl = []; fl = [];
    normg = eps+1;
   
    xx = sym('xx',[1,n]); gg = gradient(f(xx));
   
   
    x = double(x0); g = double(subs(gg, xx, x')); normg = norm(g);

    kmax = 10;
    while (normg>eps && (k<kmax))
       k = k+1;
       xl = [xl, x];
       gfl = [gfl, normg]; fl = [fl, f(x)];
      
       d = - H*g;...

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