Stokhos: Stokhos::GramSchmidtBasis< ordinal_type, value

Transforms a non-orthogonal multivariate basis to an orthogonal one using the Gram-Schmit procedure. More...

#include <Stokhos_GramSchmidtBasis.hpp>

Inheritance diagram for Stokhos::GramSchmidtBasis< ordinal_type, value_type >:

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Detailed Description

template<typename ordinal_type, typename value_type>
class Stokhos::GramSchmidtBasis< ordinal_type, value_type >

Transforms a non-orthogonal multivariate basis to an orthogonal one using the Gram-Schmit procedure.

Given a basis $\{\Psi_i\}$ with an inner product defined by

$(\Psi_i,\Psi_j) = \sum_{k=0}^Q w_k\Psi_i(x_k)\Psi_j(x_k)$

where $\{x_k\}$ and $\{w_k\}$ are a set of $Q$ quadrature points and weights, this class generates a new basis $\{\tilde{\Psi}_i\}$ that satisfies $(\Psi_i,\Psi_j) = \delta_{ij}$ .

NOTE: Currently on the classical Gram-Schmidt algorithm is implemented.

The documentation for this class was generated from the following file:

Stokhos_GramSchmidtBasis.hpp

Detailed Description

template<typename ordinal_type, typename value_type> class Stokhos::GramSchmidtBasis< ordinal_type, value_type >

template<typename ordinal_type, typename value_type>
class Stokhos::GramSchmidtBasis< ordinal_type, value_type >