![\[ \psi_{k+1}(x) = \gamma_{k+1}\big( (\alpha_k - \delta_k x)\psi_k(x) - \beta_k\psi_{k-1}(x) \big) \]](form_45.png)
for 
where 
, 
, and 
| Stokhos::CompletePolynomialBasis< ordinal_type, value_type > | Multivariate orthogonal polynomial basis generated from a total-order complete-polynomial tensor product of univariate polynomials |
| Stokhos::ConstantOrthogPolyExpansion< ordinal_type, value_type > | Orthogonal polynomial expansion class for constant (size 1) expansions |
| Stokhos::Dense3Tensor< ordinal_type, value_type > | Data structure storing a dense 3-tensor C(i,j,k) |
| Stokhos::DerivBasis< ordinal_type, value_type > | Abstract base class for multivariate orthogonal polynomials that support computing double and triple products involving derivatives of the basis polynomials |
| Stokhos::DerivOrthogPolyExpansion< ordinal_type, value_type > | Othogonal polynomial expansions based on derivative calculations |
| Stokhos::DiscretizedStieltjesBasis< ordinal_type, value_type > | Generates three-term recurrence using the Discretized Stieltjes procedure |
| Stokhos::ds_array< T, isScalar > | Dynamic array allocation class that works for any type |
| Stokhos::ds_array< T, true > | Dynamic array allocation class that is specialized for scalar i.e., fundamental or built-in types (float, double, etc...) |
| Stokhos::EpetraCrsMatrixCloner | Cloner for Epetra_CrsMatrix coefficients |
| Stokhos::EpetraMultiVectorCloner | Cloner for Epetra_MultiVector coefficients |
| Stokhos::EpetraOperatorCloner | Cloner for Epetra_Operator coefficients |
| Stokhos::EpetraVectorCloner | Cloner for Epetra_Vector coefficients |
| Stokhos::ForUQTKOrthogPolyExpansion< ordinal_type, value_type > | |
| Stokhos::HermiteBasis< ordinal_type, value_type > | Hermite polynomial basis |
| Stokhos::IsScalarType< T > | Base template specification for IsScalarType |
| Stokhos::KLMatrixFreeEpetraOp | An Epetra operator representing the block stochastic Galerkin operator |
| Stokhos::LegendreBasis< ordinal_type, value_type > | Legendre polynomial basis |
| Stokhos::MatrixFreeEpetraOp | An Epetra operator representing the block stochastic Galerkin operator |
| Stokhos::MeanEpetraOp | An Epetra operator representing applying the mean in a block stochastic Galerkin expansion |
| Stokhos::OneDOrthogPolyBasis< ordinal_type, value_type > | Abstract base class for 1-D orthogonal polynomials |
| Stokhos::OrthogPolyApprox< ordinal_type, value_type > | Class to store coefficients of a projection onto an orthogonal polynomial basis |
| Stokhos::OrthogPolyBasis< ordinal_type, value_type > | Abstract base class for multivariate orthogonal polynomials |
| Stokhos::OrthogPolyExpansion< ordinal_type, value_type > | Abstract base class for orthogonal polynomial-based expansions |
| Stokhos::PreconditionerFactory | A class to represent a generic preconditioner factory |
| Stokhos::ProductBasis< ordinal_type, value_type > | Abstract base class for multivariate orthogonal polynomials generated from tensor products of univariate polynomials |
| Stokhos::QuadOrthogPolyExpansion< ordinal_type, value_type > | Orthogonal polynomial expansions based on numerical quadrature |
| Stokhos::Quadrature< ordinal_type, value_type > | Abstract base class for quadrature methods |
| Stokhos::RecurrenceBasis< ordinal_type, value_type > | Implementation of OneDOrthogPolyBasis based on the general three-term recurrence relationship:
for |
| Stokhos::RysBasis< ordinal_type, value_type > | Rys polynomial basis |
| Stokhos::SGModelEvaluator | Nonlinear, stochastic Galerkin ModelEvaluator |
| Stokhos::SGQuadModelEvaluator | ModelEvaluator adaptor that implements the stochastic Galerkin residual and Jacobian computations using quadrature |
| Stokhos::Sparse3Tensor< ordinal_type, value_type > | Data structure storing a sparse 3-tensor C(i,j,k) in a a compressed format |
| Stokhos::SparseGridQuadrature< ordinal_type, value_type > | Defines quadrature for a tensor product basis by Smolyak sparse grids |
| Stokhos::TensorProductQuadrature< ordinal_type, value_type > | Defines quadrature for a tensor product basis by tensor products of 1-D quadrature rules |
| Stokhos::VectorOrthogPoly< coeff_type > | A container class storing an orthogonal polynomial whose coefficients are vectors, operators, or in general any type that would have an expensive copy constructor |
| Stokhos::VectorOrthogPolyTraits< coeff_type > | Base traits definition for VectorOthogPoly |
| Stokhos::VectorOrthogPolyTraits< Epetra_CrsMatrix > | Specialization of VectorOrthogPolyTraits to Epetra_CrsMatrix coefficients |
| Stokhos::VectorOrthogPolyTraits< Epetra_MultiVector > | Specialization of VectorOrthogPolyTraits to Epetra_MultiVector coefficients |
| Stokhos::VectorOrthogPolyTraits< Epetra_Operator > | Specialization of VectorOrthogPolyTraits to Epetra_Operator coefficients |
| Stokhos::VectorOrthogPolyTraits< Epetra_Vector > | Specialization of VectorOrthogPolyTraits to Epetra_Vector coefficients |
| Stokhos::VectorOrthogPolyTraits< EpetraExt::ModelEvaluator::Derivative > |
1.4.7