Solve Equations in MATLAB

Main.MatlabSolveEquations History

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June 21, 2020, at 04:12 AM by 136.36.211.159 -

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October 16, 2019, at 01:53 PM by 173.117.144.240 -

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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:)

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Source Code

to:

Source Code

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September 30, 2017, at 12:42 PM by 45.56.3.173 -

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 % 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:)

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The 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 web browser interface.

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September 03, 2015, at 06:37 PM by 10.10.146.43 -

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

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September 03, 2015, at 06:33 PM by 10.10.146.43 -

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September 03, 2015, at 06:01 PM by 10.10.146.43 -

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September 03, 2015, at 05:31 PM by 10.10.146.43 -

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(: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 Excel and Python. Click on the appropriate link for additional information and source code.

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