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Problem 45948. Function minimization - beat fminbnd!

Solution 2877263

Submitted on 25 Aug 2020 by Alfonso Nieto-Castanon
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Test Suite

Test Status Code Input and Output
1   Pass
filetext = fileread('better_than_fminbnd.m'); filetext(find(filetext == '%', 1, 'last') : end) = []; assert(isempty(strfind(filetext, '>')), 'File handling is forbidden.'); assert(isempty(strfind(filetext, 'eval')), 'Eval forbidden.'); assert(isempty(strfind(filetext, 'regexp')), 'Regexp forbidden.'); assert(isempty(strfind(filetext, '!')), 'Shell commands are forbidden.'); assert(isempty(strfind(filetext, 'mlock')), 'mlock is forbidden.'); assert(isempty(strfind(filetext, 'munlock')), 'munlock is forbidden.'); assert(isempty(strfind(filetext, '@')), 'Anonymous functions are forbidden.');
2   Pass
fun=@(x)cos(x)-cos(pi*x)/pi; xmin=0; xmax=10*pi; xopt = better_than_fminbnd(fun,xmin,xmax); xsubopt = fminbnd(fun,xmin,xmax); yopt=fun(xopt) ysubopt=fun(xsubopt) assert(xopt>=xmin & xopt<=xmax & fun(xopt) < fun(xsubopt))

yopt = -1.1948 ysubopt = -1.1948
3   Pass
fun=@(x)sin(20./x).*sin(20*x) xmin=1; xmax=5; xopt = better_than_fminbnd(fun,xmin,xmax); xsubopt = fminbnd(fun,xmin,xmax); yopt=fun(xopt) ysubopt=fun(xsubopt) assert(xopt>=xmin & xopt<=xmax & fun(xopt) < fun(xsubopt))

fun = function_handle with value: @(x)sin(20./x).*sin(20*x) yopt = -0.5881 ysubopt = -0.5881

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