Symmetric eigenvalue decomposition A=QDQ^T. More...
#include <shark/LinAlg/BLAS/decompositions.hpp>
Inheritance diagram for remora::symm_eigenvalue_decomposition< MatrixStorage >:
Public Member Functions | |
| symm_eigenvalue_decomposition () | |
| template<class E > | |
| symm_eigenvalue_decomposition (matrix_expression< E, device_type > const &e) | |
| template<class E > | |
| void | decompose (matrix_expression< E, device_type > const &e) |
| MatrixStorage const & | Q () const |
| VectorStorage const & | D () const |
| template<class MatB > | |
| void | solve (matrix_expression< MatB, device_type > &B, left) const |
| template<class MatB > | |
| void | solve (matrix_expression< MatB, device_type > &B, right) const |
| template<class VecB > | |
| void | solve (vector_expression< VecB, device_type > &b, left) const |
| template<class VecB > | |
| void | solve (vector_expression< VecB, device_type > &b, right) const |
| template<typename Archive > | |
| void | serialize (Archive &ar, const std::size_t version) |
Detailed Description
template<class MatrixStorage>
class remora::symm_eigenvalue_decomposition< MatrixStorage >
Symmetric eigenvalue decomposition A=QDQ^T.
every symmetric matrix can be decomposed into its eigenvalue decomposition A=QDQ^T, where Q is an orthogonal matrix with Q^TQ=QQ^T=I and D is the diagonal matrix of eigenvalues of A.
Definition at line 188 of file decompositions.hpp.
Constructor & Destructor Documentation
◆ symm_eigenvalue_decomposition() [1/2]
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inline |
Definition at line 198 of file decompositions.hpp.
◆ symm_eigenvalue_decomposition() [2/2]
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inline |
Definition at line 200 of file decompositions.hpp.
Member Function Documentation
◆ D()
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inline |
Definition at line 217 of file decompositions.hpp.
Referenced by shark::MultiVariateNormalDistribution::eigenValues(), and shark::NormalizeComponentsZCA::train().
◆ decompose()
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inline |
Definition at line 205 of file decompositions.hpp.
Referenced by shark::MultiVariateNormalDistribution::update().
◆ Q()
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inline |
Definition at line 214 of file decompositions.hpp.
Referenced by shark::MultiVariateNormalDistribution::eigenVectors(), shark::MultiVariateNormalDistribution::operator()(), and shark::NormalizeComponentsZCA::train().
◆ serialize()
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inline |
Definition at line 242 of file decompositions.hpp.
◆ solve() [1/4]
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inline |
Definition at line 223 of file decompositions.hpp.
◆ solve() [2/4]
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inline |
Definition at line 227 of file decompositions.hpp.
◆ solve() [3/4]
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inline |
Definition at line 232 of file decompositions.hpp.
◆ solve() [4/4]
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inline |
Definition at line 237 of file decompositions.hpp.
The documentation for this class was generated from the following file:
- include/shark/LinAlg/BLAS/decompositions.hpp