Solve Equations in MATLAB
Main.MatlabSolveEquations History
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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:)
Source Code
Source Code
% Create new file myFunction.m function F=myFunction(z) x = z(1); y = z(2);
(:source lang=matlab:) % 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)
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 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.
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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(: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
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Solve Nonlinear Equations with MATLAB
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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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