HLIBpro  2.9.1
TMatrixSum< T_value > Class Template Reference

Represents sum α₁A₁ + α₂A₂ + α₃A₃... of matrices (linear ops)

#include <TMatrixSum.hh>

Inheritance diagram for TMatrixSum< T_value >:
TLinearOperator TTypeInfo

Public Member Functions

 TMatrixSum (const value_t alpha1, const TLinearOperator *A1, const value_t alpha2, const TLinearOperator *A2, const bool is_owner=false)
 two matrices
 
 TMatrixSum (const value_t alpha1, const TLinearOperator *A1, const value_t alpha2, const TLinearOperator *A2, const value_t alpha3, const TLinearOperator *A3, const bool is_owner=false)
 three matrices
 
virtual bool is_complex () const
 return true, if field type is complex
 
virtual 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
 

Member Function Documentation

◆ apply()

virtual void apply ( const TVector x,
TVector y,
const matop_t  op = apply_normal 
) const
virtual

mapping function of linear operator \(A\), e.g. \( y := A(x)\). Depending on op, either \(A\), \(A^T\) or \(A^H\) is applied.

Implements TLinearOperator.

◆ apply_add() [1/2]

virtual void apply_add ( const real  alpha,
const BLAS::Vector< real > &  x,
BLAS::Vector< real > &  y,
const matop_t  op = apply_normal 
) const
virtual

same as above but only the dimension of the vector spaces is tested, not the corresponding index sets

Implements TLinearOperator.

◆ apply_add() [2/2]

virtual void apply_add ( const real  alpha,
const TVector x,
TVector y,
const matop_t  op = apply_normal 
) const
virtual

mapping function with update: \( y := y + \alpha A(x)\). Depending on op, either \(A\), \(A^T\) or \(A^H\) is applied.

Implements TLinearOperator.