## Main.MatlabSolveEquations History

June 21, 2020, at 04:12 AM by 136.36.211.159 -
Deleted lines 56-74:

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(:html:)
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var disqus_shortname = 'apmonitor'; // required: replace example with your forum shortname

/* * * DON'T EDIT BELOW THIS LINE * * */
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October 16, 2019, at 01:53 PM by 173.117.144.240 -
'''Source Code'''

(:source lang=matlab:)
clear all
A = [3 -9; 2 4];
b = [-42; 2];
% three methods
x = inv(A)*b      % good
x = A\b            % better
x = linsolve(A,b)  % best
(:sourceend:)

Changed line 31 from:
!!!!Source Code
to:
'''Source Code'''
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:
)

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 [[https://apmonitor.com/online/view_pass.php|web browser interface]].

!!!!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)

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>
(: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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<script type="text/javascript">
/* * * CONFIGURATION VARIABLES: EDIT BEFORE PASTING INTO YOUR WEBPAGE * * */
var disqus_shortname = 'apmonitor'; // required: replace example with your forum shortname

/* * * DON'T EDIT BELOW THIS LINE * * */
(function() {
var dsq = document.createElement('script'); dsq.type = 'text/javascript'; dsq.async = true;
dsq.src = 'https://' + disqus_shortname + '.disqus.com/embed.js';