Mathematical optimization projects and source code

Math functions program in c

The following C project contains the C source code and C examples used for math functions program. This code performs mathematical functions such as finding factorials, permutations and combinations, GCF and LCM, tests for perfect numbers and also can generate a fibonacci sequence.

Solves siso mean-square optimal control design problems: a(p)x = b(p)u + f(t) in matlab

The following Matlab project contains the source code and Matlab examples used for solves siso mean-square optimal control design problems: a(p)x = b(p)u + f(t) . Solves SISO mean-square optimal control design problems of the following form: Let the controlled plant is described by differential equation                  A(p)x = B(p)u + f(t), where x - scalar controlled variable, u - scalar control, A(p),B(p) are polynomials of p = d/dt, f(t) - external disturbance with known spectral density Sf=S(s)S(-s)=N(s)N(-s)/(T(s)T(-s)) (N(s),T(s) are Hurwitz polynomials).

Solves constrained minimization problems, some of the variables are restricted to discrete values in matlab

The following Matlab project contains the source code and Matlab examples used for solves constrained minimization problems, some of the variables are restricted to discrete values . fminconset: Solves constrained minimization problems where some of the variables are restricted to discrete values. (Mixed Integer Nonlinear optimization). Based on fmincon from Optimization Toolbox version 2.0.

Steepest ascent/descent is a simple and efficient optimization method ... in matlab

The following Matlab project contains the source code and Matlab examples used for steepest ascent/descent is a simple and efficient optimization method ... . This m-file provides a simple and efficient optimization method based on statistical design of experiments by the steepest ascent/descent procedure to predict points headed (hopefully) toward to optimum (maximum or minimum) for a first-order design.

New approaches to constrained optimization in matlab

The following Matlab project contains the source code and Matlab examples used for new approaches to constrained optimization in matlab. M-files accompanying the webinar titled "New Approaches to Constrained Optimization in MATLAB" held on November 05, 2005 These files provide what you need to run the two demos: 1) The first demo is a demonstration of bound constrained optimization of non-smooth objective function using GA and also using a Hybrid function (using GA with another optimization solver).

Pareto front in matlab

The following Matlab project contains the source code and Matlab examples used for pareto front. Identifying the Pareto Front from a set of points in a multi-objective space is the most important and also the most time-consuming task in multi-objective optimization.

Analytical solution for orthogonal linear least squares in two dimensions in matlab

The following Matlab project contains the source code and Matlab examples used for analytical solution for orthogonal linear least squares in two dimensions. ORTHLLS2D returns the Orthogonal Linear Least Squares estimate for parameters of line a x + b y + c = 0 function f = OrthLLS2D(x, y) Inputs x and y must be real vectors of equal size.

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