Code covered by the BSD License
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evallag (f, c, x, lambda)
Evaluate the lagrangian system and it's first derivative in a pair
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evbranin(x)
Name: Branin
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evbrown(x)
Name: Brown's Almost Linear
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evbullardbiegler(x)
Name: Bullard&Biegler
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evcg11(x)
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evcg13(x)
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evcg3(x)
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evcombustion(x)
Name: Equilibrium Combustion
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eveasom(x)
Name: Easom
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evferraristronconi(x)
Name: Ferraris&Tronconi
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evfg11(x)
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evfg13(x)
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evfg3(x)
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evgoldsteinprice(x)
Name: Goldstein&Price
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evgriewank(x)
Name: Griewank
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evhimmelblau(x)
Name: Himmelblau
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evhumpcamel(x)
Name: Three Hump Camel
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evkubicek(x)
Name: Kubicek
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evlevy(x)
Name: Levy
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evmichalewicz(x)
Name: Michalewicz
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evrastrigin(x)
Name: Rastrigin
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evrosenbrock(x)
Name: Rosenbrock
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evshubert(x)
Name: Shubert
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evsmith(x)
Name: Smith
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evtrigonometric(x)
Name: Trigonometric
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intdiv(a, b)
Extended interval division. This implementation follows the technical
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intksolve(f, x0, options)
Apply the Krawczyk operator to test existence of zeros of a nonlinear
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intmincon(f, x0, nonlcon, opt...
Find the global minima of a function f inside a box x0 subject to
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intminunc(f, x0, options)
Find the global minima of a function f inside the box x0. The user must
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intoptimget(options)
Display parameters setted by an option vector. If no input arguments are
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intoptimset()
Create an optimization options vector. To change default settings on
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intsolve(f, x0, options)
Find all zeros of a nonlinear system of equations inside an
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nonnullgs (X, x, b, M)
Perform one step of the interval gauss seidel method to solve the problem
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nullgs (X, x, b, M)
Perform one step of the interval gauss seidel method to solve the problem
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sibranin(type)
Branin problem initial data.
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sibrown(type)
Brown Almost linear problem initial data.
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sibullardbiegler(type)
Bullard&Biegler problem initial data.
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sicombustion(type)
Combustion problem initial data.
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sieasom(type)
Rastrigin problem initial data.
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siferraristronconi(type)
Ferraris&Tronconi problem initial data.
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sig11(type)
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sig13(type)
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sig3(type, n)
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sigoldsteinprice(type)
Goldstein&Price problem initial data.
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sigriewank(type, n)
Griewank's problem initial data.
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sihimmelblau(type)
Himmelblau problem initial data.
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sihumpcamel(type)
Three hump camel problem initial data.
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sikubicek(type)
Kubicek problem initial data.
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silevy(type, n)
Levy's problem initial data.
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simichalewicz(type, n)
Michalewicz's problem initial data.
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sirastrigin(type, n)
Rastrigin problem initial data.
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sirosenbrock(type, n)
Ronsenbrock's problem initial data.
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sishubert(type)
Shubert's problem initial data.
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sismith(type)
Smith problem initial data.
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sitrigonometric(type, n)
Trigonometric problem initial data.
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View all files
from
INTSOLVER: An interval based solver for Global Optimization
by Tiago Montanher
Interval based functions to solve small global optimization problems with guaranteed bounds.
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| evbranin(x) |
function y = evbranin(x)
% Name: Branin
% Reference:
% On the Selection of Subdivisions Directions in Interval Branch and Bound
% Methods for Global Optimization. Ratz D., Csendes T., 1995. Journal of
% Global Optimization, 183 - 207
% Variables: 2
% Initial Point/ Initial Interval: (0; 0) / ([-5, 10]; [0, 15])
% Reported Solution: (-pi, 12.275),(pi, 2.275), (9.42478, 2.475),
% Minima: 0.397887
y = (x(2)-(5.1/(4*pi^2))*x(1)^2+5*x(1)/pi-6)^2+10*(1-1/(8*pi))*cos(x(1))+10;
end |
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