HLIBpro  2.9.1
TLLInvMatrix Class Reference

Represents the inverse of a Cholesky factored matrix. More...

#include <TFacInvMatrix.hh>

Inheritance diagram for TLLInvMatrix:
TFacInvMatrix TLinearOperator TTypeInfo

Public Member Functions

template<typename T_mat >
 TLLInvMatrix (T_mat &&afac_matrix, const matform_t aformat, const storage_type_t astorage_type=CFG::Arith::storage_type)
 
template<typename T_mat >
 TLLInvMatrix (T_mat &&afac_matrix, const matform_t aformat, const TTruncAcc &aacc, const eval_type_t aeval_type=CFG::Arith::eval_type, const storage_type_t astorage_type=CFG::Arith::storage_type)
 
template<typename T_mat >
 TLLInvMatrix (const TScalarVector *D1, T_mat &&afac_matrix, const TScalarVector *D2, const matform_t format, const storage_type_t astorage_type=CFG::Arith::storage_type)
 
virtual ~TLLInvMatrix ()
 dtor
 
virtual void solve (TVector *x, const matop_t op) const
 
- Public Member Functions inherited from TFacInvMatrix
template<typename T_mat >
 TFacInvMatrix (T_mat &&afac_matrix, const eval_type_t aeval_type=CFG::Arith::eval_type, const storage_type_t astorage_type=CFG::Arith::storage_type)
 
template<typename T_mat >
 TFacInvMatrix (T_mat &&afac_matrix, const TTruncAcc &aacc, const eval_type_t aeval_type=CFG::Arith::eval_type, const storage_type_t astorage_type=CFG::Arith::storage_type)
 
template<typename T_mat >
 TFacInvMatrix (const TScalarVector *D1, T_mat &&afac_matrix, const TScalarVector *D2, const eval_type_t aeval_type=CFG::Arith::eval_type, const storage_type_t astorage_type=CFG::Arith::storage_type)
 
virtual ~TFacInvMatrix ()
 dtor
 
const TMatrixmatrix () const
 access factorised matrix
 
bool has_scaling () const
 return true if diagonal scaling is used
 
const TScalarVectorscaling_left () const
 return left scaling matrix
 
const TScalarVectorscaling_right () const
 return right scaling matrix
 
eval_type_t eval_type () const
 return evaluation type (pointwise/blockwise)
 
storage_type_t storage_type () const
 return evaluation type (pointwise/blockwise)
 
const TTruncAcc accuracy () const
 return internal accuracy for matrix arithmetic
 
void set_accuracy (const TTruncAcc &aacc)
 set internal accuracy for matrix arithmetic
 
bool is_complex () const
 return true, if field type is complex
 
bool is_self_adjoint () const
 return true, of operator is self adjoint
 
virtual void apply (const TVector *x, TVector *y, const matop_t op=apply_normal) const
 
virtual void apply_add (const real alpha, const TVector *x, TVector *y, const matop_t op=apply_normal) const
 
virtual void apply_add (const real alpha, const BLAS::Vector< real > &x, BLAS::Vector< real > &y, const matop_t op=apply_normal) const
 
virtual size_t domain_dim () const
 return dimension of domain
 
virtual size_t range_dim () const
 return dimension of range
 
virtual auto domain_vector () const -> std::unique_ptr< TVector >
 return vector in domain space
 
virtual auto range_vector () const -> std::unique_ptr< TVector >
 return vector in range space
 
- Public Member Functions inherited from TTypeInfo
virtual typeid_t type () const =0
 return type ID of object
 
virtual bool is_type (const typeid_t t) const
 return true if local object is of given type ID t
 
virtual std::string typestr () const
 return string representation of type
 

Detailed Description

      Evaluates \f$ (LL^H)^{-1} \f$ or \f$ (LL^T)^{-1} \f$.

Constructor & Destructor Documentation

◆ TLLInvMatrix() [1/3]

TLLInvMatrix ( T_mat &&  afac_matrix,
const matform_t  aformat,
const storage_type_t  astorage_type = CFG::Arith::storage_type 
)
inline

construct inverse operator with Cholesky factorised matrix afac_matrix which has format (symmetric, etc.) (no diagonal scaling applied)

◆ TLLInvMatrix() [2/3]

TLLInvMatrix ( T_mat &&  afac_matrix,
const matform_t  aformat,
const TTruncAcc aacc,
const eval_type_t  aeval_type = CFG::Arith::eval_type,
const storage_type_t  astorage_type = CFG::Arith::storage_type 
)
inline

construct inverse operator with LL factorised matrix afac_matrix with accuracy for matrix arithmetic (without diagonal scaling)

◆ TLLInvMatrix() [3/3]

TLLInvMatrix ( const TScalarVector D1,
T_mat &&  afac_matrix,
const TScalarVector D2,
const matform_t  format,
const storage_type_t  astorage_type = CFG::Arith::storage_type 
)
inline

construct inverse operator with Cholesky factorised matrix afac_matrix which has format (symmetric, etc.) and additional row and column scaling factors D1 and D2

Member Function Documentation

◆ solve()

virtual void solve ( TVector x,
const matop_t  op 
) const
virtual

solve op(A) x = y with given y (supplied in x)

Implements TFacInvMatrix.