permutation.h File Reference

Header file defining the Permutation and ScalingPermutation<T> classes. More...

#include <vector>
#include <iostream>
#include "linalg_abstract.h"

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Classes
class	Permutation
	The Permutation class forms the mathematical basis of PermutationMatrix, and can be used independently for computing in the symmetric group. NO DOC YET! More...
class	ScalingPermutation< T >
	ScalingPermutation<T> generalizes Permutation; elements can be scaled as well as permuted. Underlies PermScaleMatrix. NO DOC YET! More...

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Detailed Description

Header file defining the Permutation and ScalingPermutation<T> classes.

The Permutation class simply defines a permutation of N elements; Permutation objects can be composed by multiplication. ScalingPermutation allows elements to be scaled (multiplied by a scalar) as well as permuted; the resulting group structure is something like (T)^N x S(N), where (T) is the multiplicative group corresponding to type T.

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