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Please note that the recommended version of Scilab is 6.1.0. This page might be outdated.
See the recommended documentation of this function

Scilab Help >> Optimization and Simulation > Optimization simplex > optimsimplex_shrink


Shrinks the simplex.

Calling Sequence

opt = optimsimplex_shrink(opt, fun, [sigma])
[opt, data] = optimsimplex_shrink(opt, fun, sigma, data)



The current simplex object of TSIMPLEX type (tlist).


The function to compute at vertices.

The fun function is expected to have the following input and output arguments:

y = myfunction (x)

The shrinkage coefficient (optional). The default value is 0.5.


User-defined data passed to the function (optional).

If data is provided, it is passed to the callback function both as an input and output argument. In that case, the function must have the following header :

[y, data] = myfunction (x, data)

The data input parameter may be used if the function uses some additional parameters. It is returned as an output parameter because the function may modify the data while computing the function value. This feature may be used, for example, to count the number of times that the function has been called.


The optimsimplex_shrink function shrinks the simplex with given coefficient sigma and returns an updated simplex. The shrink is performed with respect to the first point in the simplex.


function y=rosenbrock(x)
  y = 100*(x(2)-x(1)^2)^2 + (1-x(1))^2;

s1 = optimsimplex_new ();
simplex = [
-12   0.    0.  
0   1.    0.  
0   0.    1.  
s1 = optimsimplex_setall ( s1 , simplex );
s1 = optimsimplex_shrink ( s1 , rosenbrock );
res = optimsimplex_getall ( s1 );

s1 = optimsimplex_destroy(s1);

See Also

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Last updated:
Thu Oct 02 13:46:51 CEST 2014