cla3p::LapackLDLt< T_Matrix > Class Template Reference

The indefinite Cholesky (LDL') linear solver for dense matrices. More...

Inheritance diagram for cla3p::LapackLDLt< T_Matrix >:

Public Member Functions
	LapackLDLt ()
	The default constructor.
	LapackLDLt (int_t n)
	The dimensional constructor.
	~LapackLDLt ()=default
	Destroys the solver.
Public Member Functions inherited from cla3p::LapackBase< T_Matrix >
void	reserve (int_t n)
	Allocates internal buffers.
void	clear ()
	Clears the solver internal data.
void	decompose (const T_Matrix &mat)
	Performs matrix decomposition.
void	idecompose (T_Matrix &mat)
	Performs in-place matrix decomposition.
void	solve (T_Matrix &rhs) const
	Performs in-place matrix solution.
void	solve (T_Vector &rhs) const
	Performs in-place vector solution.

Detailed Description

template<typename T_Matrix>
class cla3p::LapackLDLt< T_Matrix >

The indefinite Cholesky (LDL') linear solver for dense matrices.

Implements the Cholesky decomposition \( A = L D L^T \) for indefinite symmetric/hermitian matrices.

Template Parameters

T_Matrix

The matrix type (e.g., dns::XxMatrix<T_Scalar>).

Examples

ex05b_solving_linear_systems_ldlt.cpp.

Constructor & Destructor Documentation

LapackLDLt() [1/2]

template<typename T_Matrix>

cla3p::LapackLDLt< T_Matrix >::LapackLDLt ( )

inline

The default constructor.

Constructs an empty solver object.

LapackLDLt() [2/2]

template<typename T_Matrix>

cla3p::LapackLDLt< T_Matrix >::LapackLDLt ( int_t n )

inline

The dimensional constructor.

Constructs a solver object with \( n^2 \) preallocated buffered size.

Parameters

[in]

n

The expected problem dimension.

~LapackLDLt()

template<typename T_Matrix>

cla3p::LapackLDLt< T_Matrix >::~LapackLDLt ( )

default

Destroys the solver.

Clears all internal data and destroys the solver.