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Solve Equations in MATLAB

Main.MatlabSolveEquations History

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Changed lines 21-24 from:
 % Create new file myFunction.m
 function F=myFunction(z)
   x = z(1);
   y = z(2);
to:
(:source lang=matlab:)
% Create new file myFunction.m
function F=myFunction(z)
  x = z(1);
  y = z(2);
Changed lines 27-37 from:
   F(1)=x^2+y^2-20;
   F(2)=y - x^2;
 end

 
% Create new file mySolver.m
 clear all
 zGuess = [1; 1];
 z = fsolve(@myFunction, zGuess);
 disp(z)
to:
  F(1)=x^2+y^2-20;
  F(2)=y - x^2;
end
(:sourceend:)

(:source lang=matlab:)

% Create new file mySolver.m
clear all
zGuess = [1; 1];
z = fsolve(@myFunction, zGuess);
disp(z)
(:sourceend:
)
Added lines 43-44:

The [[https://apmonitor.com|APMonitor Modeling Language]] with a MATLAB interface is optimization software for mixed-integer and differential algebraic equations. It is coupled with large-scale solvers for linear, quadratic, nonlinear, and mixed integer programming (LP, QP, NLP, MILP, MINLP). Modes of operation include data reconciliation, real-time optimization, dynamic simulation, and nonlinear predictive control. It is freely available through MATLAB, Python, Julia, or from a [[http://apmonitor.com/online/view_pass.php|web browser interface]].
Added lines 18-37:

!!!!Source Code

 % Create new file myFunction.m
 function F=myFunction(z)
  x = z(1);
  y = z(2);
 
  F(1)=x^2+y^2-20;
  F(2)=y - x^2;
 end

 
 % Create new file mySolver.m
 clear all
 zGuess = [1; 1];
 z = fsolve(@myFunction, zGuess);
 disp(z)

!!!!Additional Tutorials
Changed line 16 from:
<iframe width="560" height="315" src="https://www.youtube.com/embed/eafGnpct1Ro" frameborder="0" allowfullscreen></iframe>
to:
<iframe width="560" height="315" src="https://www.youtube.com/embed/bvsXzrE9r3o" frameborder="0" allowfullscreen></iframe>
Changed line 10 from:
<iframe width="560" height="315" src="https://www.youtube.com/embed/qpZUbXCVxSQ" frameborder="0" allowfullscreen></iframe>
to:
<iframe width="560" height="315" src="https://www.youtube.com/embed/-m6qtOrNPkQ" frameborder="0" allowfullscreen></iframe>
Added lines 1-38:
(:title Solve Equations in MATLAB:)
(:keywords MATLAB, solve equations, linear, nonlinear:)
(:description MATLAB tutorial on solving linear and nonlinear equations with matrix operations (linear) or symbolic solve MATLAB functions (nonlinear):)

The following tutorials are an introduction to solving linear and nonlinear equations with MATLAB. The solution to linear equations is through matrix operations while sets of nonlinear equations require a solver to numerically find a solution.

!!!!Solve Linear Equations with MATLAB

(:html:)
<iframe width="560" height="315" src="https://www.youtube.com/embed/qpZUbXCVxSQ" frameborder="0" allowfullscreen></iframe>
(:htmlend:)

!!!!Solve Nonlinear Equations with MATLAB

(:html:)
<iframe width="560" height="315" src="https://www.youtube.com/embed/eafGnpct1Ro" frameborder="0" allowfullscreen></iframe>
(:htmlend:)

Linear and nonlinear equations can also be solved with [[Main/ExcelSolveEquations|Excel]] and [[Main/PythonSolveEquations|Python]]. Click on the appropriate link for additional information and source code.

----

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