Mathematical optimization

Calculate vertices of feasible set given linear constraints (r^2). in matlab

The following Matlab project contains the source code and Matlab examples used for calculate vertices of feasible set given linear constraints (r^2). .     This function computes:       (a) the set of vertices of the R^2 polygon defined by the linear           constraints in ['dirs', 'levels'], and       (b) a boolean (logical) vector of which constraints are binding.

Quadratic solver in matlab

The following Matlab project contains the source code and Matlab examples used for quadratic solver. Finds the solutions to f(x) = 0 for a quadratic function in the form f(x) = ax^2 + bx + c. Solutions are graphed with original function. Feel free to change graphing parameters. Enjoy :)

Dynamic optimization with the apmonitor toolbox in matlab

The following Matlab project contains the source code and Matlab examples used for dynamic optimization with the apmonitor toolbox. This tutorial covers the APM toolbox of MATLAB to solve and optimize parameters to match measurements in a dynamic system. http://youtu.be/pOXcOWMo5Hs In this exercise, the model is simulated and optimized simultaneously through an orthogonal collocation on finite elements.

A code for solving non-linear optimization problems with matrix inequality constraints. in matlab

The following Matlab project contains the source code and Matlab examples used for a code for solving non-linear optimization problems with matrix inequality constraints. . fminsdp is a code for solving general (small-scale) smooth, non-linear and non-convex optimization problems with both scalar constraints and matrix inequality constraints.

Find pareto frontier in matlab

The following Matlab project contains the source code and Matlab examples used for find pareto frontier. %-------------------------------------------------------------------------- % This function identifies the pareto frontier of a set of points (assuming % smaller values are more desirable) %-------------------------------------------------------------------------- % Input: input, a matrix, each row correspondes to a point, each column % correspond to a dimension %-------------------------------------------------------------------------- % Outputs:

Aerospace trajectory optimization using direct transcription and collocation in matlab

The following Matlab project contains the source code and Matlab examples used for aerospace trajectory optimization using direct transcription and collocation. In the language of optimal control theory, this problem is a “continuous system with functions of the state variables prescribed at a fixed terminal time”.

A new optimization algorithm inspired by the states of matter in matlab

The following Matlab project contains the source code and Matlab examples used for a new optimization algorithm inspired by the states of matter . The ability of an Evolutionary Algorithm (EA) to find a global optimal solution depends on its capacity to find a good rate between exploitation of found so far elements and exploration of the search space.

Multivariate nonlinear optimization using marquardt method in matlab

The following Matlab project contains the source code and Matlab examples used for multivariate nonlinear optimization using marquardt method. We use the power of symbolic toolbox in order to find the optimal point in an arbitrary multivariate function Change the following code based on your objective function and run the program %Function F in Symbolic Format a='(x1^2+x2-11)^2+(x1+x2^2-7)^2'; The code will iterate and converge to x and y of the optimal point .

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