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Aide de Scilab >> Optimisation et Simulation > Optimization simplex > optimsimplex_size

# optimsimplex_size

Computes the size.

### Calling Sequence

`ssize = optimsimplex_size(opt, [method])`

### Argument

opt

The current simplex object of TSIMPLEX type (tlist).

method

The method to use to compute the size (optional).

The available methods are the following:

• "sigmaplus". This is the default.

The sigmaplus size is the maximum 2-norm length of the vector from each vertex to the first vertex. It requires one loop over the vertices.

• "sigmaminus".

The sigmaminus size is the minimum 2-norm length of the vector from each vertex to the first vertex. It requires on loop over the vertices.

• "Nash".

The Nash size is the sum of the norm of the norm-1 length of the vector form the given vertex to the first vertex. It requires one loop over the vertices.

• "diameter".

The diameter size is the maximum norm-2 length of all the edges of the simplex. It requires 2 nested loops over the vertices.

ssize

A scalar.

### Description

The `optimsimplex_size` function returns the size of the simplex.

### Example

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

simplex = [...
0.    0.
1.    0.
0.    2.
];
s1 = optimsimplex_new();
s1 = optimsimplex_setn ( s1 , 2 );
s1 = optimsimplex_setnbve ( s1 , 3 );
s1 = optimsimplex_setallx ( s1 , simplex );
// Method = "Nash"
ssize = optimsimplex_size ( s1 , "Nash" );
disp(ssize)

// Method = "diameter"
ssize = optimsimplex_size ( s1 , "diameter" );
disp(ssize)

// Method = "sigmaplus"
ssize = optimsimplex_size ( s1 , "sigmaplus" );
disp(ssize)

// Method = "sigmaminus"
ssize = optimsimplex_size ( s1 , "sigmaminus" );
disp(ssize)

s1 = optimsimplex_destroy(s1);```