#include "glucat/matrix.h"#include <boost/numeric/ublas/vector.hpp>#include <boost/numeric/ublas/vector_proxy.hpp>#include <boost/numeric/ublas/matrix.hpp>#include <boost/numeric/ublas/matrix_expression.hpp>#include <boost/numeric/ublas/matrix_proxy.hpp>#include <boost/numeric/ublas/matrix_sparse.hpp>#include <boost/numeric/ublas/operation.hpp>#include <boost/numeric/ublas/operation_sparse.hpp>#include <boost/numeric/bindings/lapack/driver/gees.hpp>#include <boost/numeric/bindings/ublas.hpp>#include <set>
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Namespaces | |
| glucat | |
| glucat::matrix | |
Functions | |
| template<typename LHS_T , typename RHS_T > | |
| const RHS_T | glucat::matrix::kron (const LHS_T &lhs, const RHS_T &rhs) |
| Kronecker tensor product of matrices - as per Matlab kron. More... | |
| template<typename LHS_T , typename RHS_T > | |
| const RHS_T | glucat::matrix::mono_kron (const LHS_T &lhs, const RHS_T &rhs) |
| Sparse Kronecker tensor product of monomial matrices. More... | |
| template<typename LHS_T , typename RHS_T > | |
| void | glucat::matrix::nork_range (RHS_T &result, const typename LHS_T::const_iterator2 lhs_it2, const RHS_T &rhs, const typename RHS_T::size_type res_s1, const typename RHS_T::size_type res_s2) |
| Utility routine for nork: calculate result for a range of indices. More... | |
| template<typename LHS_T , typename RHS_T > | |
| const RHS_T | glucat::matrix::nork (const LHS_T &lhs, const RHS_T &rhs, const bool mono=true) |
| Left inverse of Kronecker product. More... | |
| template<typename LHS_T , typename RHS_T > | |
| const RHS_T | glucat::matrix::signed_perm_nork (const LHS_T &lhs, const RHS_T &rhs) |
| Left inverse of Kronecker product where lhs is a signed permutation matrix. More... | |
| template<typename Matrix_T > | |
| Matrix_T::size_type | glucat::matrix::nnz (const Matrix_T &m) |
| Number of non-zeros. More... | |
| template<typename Matrix_T > | |
| bool | glucat::matrix::isnan (const Matrix_T &m) |
| Not a Number. More... | |
| template<typename Matrix_T > | |
| const Matrix_T | glucat::matrix::unit (const typename Matrix_T::size_type n) |
| Unit matrix - as per Matlab eye. More... | |
| template<typename LHS_T , typename RHS_T > | |
| const RHS_T::expression_type | glucat::matrix::mono_prod (const ublas::matrix_expression< LHS_T > &lhs, const ublas::matrix_expression< RHS_T > &rhs) |
| Product of monomial matrices. More... | |
| template<typename LHS_T , typename RHS_T > | |
| const RHS_T::expression_type | glucat::matrix::sparse_prod (const ublas::matrix_expression< LHS_T > &lhs, const ublas::matrix_expression< RHS_T > &rhs) |
| Product of sparse matrices. More... | |
| template<typename LHS_T , typename RHS_T > | |
| const RHS_T::expression_type | glucat::matrix::prod (const ublas::matrix_expression< LHS_T > &lhs, const ublas::matrix_expression< RHS_T > &rhs) |
| Product of matrices. More... | |
| template<typename Scalar_T , typename LHS_T , typename RHS_T > | |
| Scalar_T | glucat::matrix::inner (const LHS_T &lhs, const RHS_T &rhs) |
| Inner product: sum(x(i,j)*y(i,j))/x.nrows() More... | |
| template<typename Matrix_T > | |
| Matrix_T::value_type | glucat::matrix::norm_frob2 (const Matrix_T &val) |
| Square of Frobenius norm. More... | |
| template<typename Matrix_T > | |
| Matrix_T::value_type | glucat::matrix::trace (const Matrix_T &val) |
| Matrix trace. More... | |
| template<typename Matrix_T > | |
| static ublas::matrix< double, ublas::column_major > | glucat::matrix::to_lapack (const Matrix_T &val) |
| Convert matrix to LAPACK format. More... | |
| template<typename Matrix_T > | |
| ublas::vector< std::complex < double > > | glucat::matrix::eigenvalues (const Matrix_T &val) |
| Eigenvalues of a matrix. More... | |
| template<typename Matrix_T > | |
| eig_genus< Matrix_T > | glucat::matrix::classify_eigenvalues (const Matrix_T &val) |
| Classify the eigenvalues of a matrix. More... | |
