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| template<typename LHS_T , typename RHS_T > |
| auto | glucat::matrix::kron (const LHS_T &lhs, const RHS_T &rhs) -> const RHS_T |
| | Kronecker tensor product of matrices - as per Matlab kron.
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| |
| template<typename LHS_T , typename RHS_T > |
| auto | glucat::matrix::mono_kron (const LHS_T &lhs, const RHS_T &rhs) -> const RHS_T |
| | Sparse Kronecker tensor product of monomial matrices.
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| |
| 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.
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| |
| template<typename LHS_T , typename RHS_T > |
| auto | glucat::matrix::nork (const LHS_T &lhs, const RHS_T &rhs, const bool mono=true) -> const RHS_T |
| | Left inverse of Kronecker product.
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| |
| template<typename LHS_T , typename RHS_T > |
| auto | glucat::matrix::signed_perm_nork (const LHS_T &lhs, const RHS_T &rhs) -> const RHS_T |
| | Left inverse of Kronecker product where lhs is a signed permutation matrix.
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| |
| template<typename Matrix_T > |
| auto | glucat::matrix::nnz (const Matrix_T &m) -> typename Matrix_T::size_type |
| | Number of non-zeros.
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| |
| template<typename Matrix_T > |
| auto | glucat::matrix::isinf (const Matrix_T &m) -> bool |
| | Infinite.
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| |
| template<typename Matrix_T > |
| auto | glucat::matrix::isnan (const Matrix_T &m) -> bool |
| | Not a Number.
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| |
| template<typename Matrix_T > |
| auto | glucat::matrix::unit (const typename Matrix_T::size_type n) -> const Matrix_T |
| | Unit matrix - as per Matlab eye.
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| |
| template<typename LHS_T , typename RHS_T > |
| auto | glucat::matrix::mono_prod (const ublas::matrix_expression< LHS_T > &lhs, const ublas::matrix_expression< RHS_T > &rhs) -> const typename RHS_T::expression_type |
| | Product of monomial matrices.
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| |
| template<typename LHS_T , typename RHS_T > |
| auto | glucat::matrix::sparse_prod (const ublas::matrix_expression< LHS_T > &lhs, const ublas::matrix_expression< RHS_T > &rhs) -> const typename RHS_T::expression_type |
| | Product of sparse matrices.
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| |
| template<typename LHS_T , typename RHS_T > |
| auto | glucat::matrix::prod (const ublas::matrix_expression< LHS_T > &lhs, const ublas::matrix_expression< RHS_T > &rhs) -> const typename RHS_T::expression_type |
| | Product of matrices.
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| |
| template<typename Scalar_T , typename LHS_T , typename RHS_T > |
| auto | glucat::matrix::inner (const LHS_T &lhs, const RHS_T &rhs) -> Scalar_T |
| | Inner product: sum(x(i,j)*y(i,j))/x.nrows()
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| |
| template<typename Matrix_T > |
| auto | glucat::matrix::norm_frob2 (const Matrix_T &val) -> typename Matrix_T::value_type |
| | Square of Frobenius norm.
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| |
| template<typename Matrix_T > |
| auto | glucat::matrix::trace (const Matrix_T &val) -> typename Matrix_T::value_type |
| | Matrix trace.
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| |
| template<typename Matrix_T > |
| static auto | glucat::matrix::to_lapack (const Matrix_T &val) -> ublas::matrix< double, ublas::column_major > |
| | Convert matrix to LAPACK format.
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| |
| template<typename Matrix_T > |
| auto | glucat::matrix::eigenvalues (const Matrix_T &val) -> std::vector< std::complex< double > > |
| | Eigenvalues of a matrix.
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| |
| template<typename Matrix_T > |
| auto | glucat::matrix::classify_eigenvalues (const Matrix_T &val) -> eig_genus< Matrix_T > |
| | Classify the eigenvalues of a matrix.
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| |