Documentation

Create an equation problem object by using eqnproblem. A problem object is a container in which you define equations. The equation problem object defines the problem and any bounds that exist in the problem variables.

For example, create an equation problem.

prob = eqnproblem;

Create named variables by using optimvar. An optimization variable is a symbolic variable that you use to describe the equations. Include any bounds in the variable definitions.

For example, create a 15-by-3 array of variables named 'x' with lower bounds of 0 and upper bounds of 1.

x = optimvar('x',15,3,'LowerBound',0,'UpperBound',1);

Define equations in the problem variables. For example:

sumeq = sum(x,2) == 1;
prob.Equations.sumeq = sumeq;

If necessary, include extra parameters in your equations as workspace variables; see Pass Extra Parameters in Problem-Based Approach.

For nonlinear problems, set an initial point as a structure whose fields are the optimization variable names. For example:

x0.x = randn(size(x));
x0.y = eye(4); % Assumes y is a 4-by-4 variable

Solve the problem by using solve.

sol = solve(prob);
% Or, for nonlinear problems,
sol = solve(prob,x0)