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<a name="Applying-Permutations"></a>
Next: <a rel="next" accesskey="n" href="Reading-and-writing-permutations.html">Reading and writing permutations</a>,
Previous: <a rel="previous" accesskey="p" href="Permutation-functions.html">Permutation functions</a>,
Up: <a rel="up" accesskey="u" href="Permutations.html">Permutations</a>
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<h3 class="section">9.6 Applying Permutations</h3>
<div class="defun">
— Function: int <b>gsl_permute</b> (<var>const size_t * p, double * data, size_t stride, size_t n</var>)<var><a name="index-gsl_005fpermute-1015"></a></var><br>
<blockquote><p>This function applies the permutation <var>p</var> to the array <var>data</var> of
size <var>n</var> with stride <var>stride</var>.
</p></blockquote></div>
<div class="defun">
— Function: int <b>gsl_permute_inverse</b> (<var>const size_t * p, double * data, size_t stride, size_t n</var>)<var><a name="index-gsl_005fpermute_005finverse-1016"></a></var><br>
<blockquote><p>This function applies the inverse of the permutation <var>p</var> to the
array <var>data</var> of size <var>n</var> with stride <var>stride</var>.
</p></blockquote></div>
<div class="defun">
— Function: int <b>gsl_permute_vector</b> (<var>const gsl_permutation * p, gsl_vector * v</var>)<var><a name="index-gsl_005fpermute_005fvector-1017"></a></var><br>
<blockquote><p>This function applies the permutation <var>p</var> to the elements of the
vector <var>v</var>, considered as a row-vector acted on by a permutation
matrix from the right, v' = v P. The j-th column of the
permutation matrix P is given by the p_j-th column of the
identity matrix. The permutation <var>p</var> and the vector <var>v</var> must
have the same length.
</p></blockquote></div>
<div class="defun">
— Function: int <b>gsl_permute_vector_inverse</b> (<var>const gsl_permutation * p, gsl_vector * v</var>)<var><a name="index-gsl_005fpermute_005fvector_005finverse-1018"></a></var><br>
<blockquote><p>This function applies the inverse of the permutation <var>p</var> to the
elements of the vector <var>v</var>, considered as a row-vector acted on by
an inverse permutation matrix from the right, v' = v P^T. Note
that for permutation matrices the inverse is the same as the transpose.
The j-th column of the permutation matrix P is given by
the p_j-th column of the identity matrix. The permutation <var>p</var>
and the vector <var>v</var> must have the same length.
</p></blockquote></div>
<div class="defun">
— Function: int <b>gsl_permutation_mul</b> (<var>gsl_permutation * p, const gsl_permutation * pa, const gsl_permutation * pb</var>)<var><a name="index-gsl_005fpermutation_005fmul-1019"></a></var><br>
<blockquote><p>This function combines the two permutations <var>pa</var> and <var>pb</var> into a
single permutation <var>p</var>, where p = pa . pb. The permutation
<var>p</var> is equivalent to applying pb first and then <var>pa</var>.
</p></blockquote></div>
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