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authorRemyaDebasis2018-07-23 20:01:22 +0530
committerRemyaDebasis2018-07-23 20:01:22 +0530
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+//This problem solves sustem of nonlinear equations using fsolve
+//Reference: A. Golbabai, M. Javidi,Newton-like iterative methods for solving system of non-linear equations,Applied Mathematics and Computation,Volume 192, Issue 2,2007,Pages 546-551,ISSN 0096-3003,https://doi.org/10.1016/j.amc.2007.03.035.(http://www.sciencedirect.com/science/article/pii/S0096300307003578)
+//======================================================================
+// Copyright (C) 2018 - IIT Bombay - FOSSEE
+// This file must be used under the terms of the CeCILL.
+// This source file is licensed as described in the file COPYING, which
+// you should have received as part of this distribution. The terms
+// are also available at
+// http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+// Author:Debasis Maharana
+// Organization: FOSSEE, IIT Bombay
+// Email: toolbox@scilab.in
+//======================================================================
+clc
+//Function representing system of nonlinear equaltions
+function f = SLEs(p)
+
+ x = p(1);y = p(2);
+ f(1) = (x+10)/x^4 + x^2 + 3*x*y + y^2-16;
+ f(2) = 1/(x+y)^7 + x*y - 1 - 1/2^7;
+
+endfunction
+
+//Tolarence of solution
+tol = 1D-15;
+
+//Initial guess
+x0 = [10 10];
+
+disp(x0,'Initial guess value is');
+
+//Obtaining solution using fsolve
+[x ,v ,info] = fsolve(x0,SLEs,tol)
+clc
+select info
+case 0
+ mprintf('\n improper input parameters\n');
+case 1
+ mprintf('\n algorithm estimates that the relative error between x and the solution is at most tol\n');
+case 2
+ mprintf('\n number of calls to fcn reached\n');
+case 3
+ mprintf('\n tol is too small. No further improvement in the approximate solution x is possible\n');
+else
+ mprintf('\n iteration is not making good progress\n');
+end
+disp(x,'The solution is ')
+disp(v,'the function value at solution')
+
+