cla3p::LapackBase< T_Matrix > Class Template Reference

The abstract linear solver base for dense matrices. More...

Inheritance diagram for cla3p::LapackBase< T_Matrix >:

Public Member Functions
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::LapackBase< T_Matrix >

The abstract linear solver base for dense matrices.

Provides a base class for linear solvers that use LAPACK decomposition methods.

Template Parameters

T_Matrix

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

Member Function Documentation

reserve()

template<typename T_Matrix>

void cla3p::LapackBase< T_Matrix >::reserve

(

int_t

n

)

Allocates internal buffers.

Preallocates internal storage to avoid dynamic allocation during decomposition.

Parameters

[in]

n

The maximum dimension for the buffers.

clear()

template<typename T_Matrix>

void cla3p::LapackBase< T_Matrix >::clear

(

)

Clears the solver internal data.

Clears the solver internal data and resets all settings.

decompose()

template<typename T_Matrix>

void cla3p::LapackBase< T_Matrix >::decompose

(

const T_Matrix &

mat

)

Performs matrix decomposition.

Computes the matrix factorization without modifying the input matrix.

Parameters

[in]

mat

The matrix to be decomposed.

Examples

ex05a_solving_linear_systems_lu.cpp, ex05b_solving_linear_systems_ldlt.cpp, and ex05c_solving_linear_systems_auto.cpp.

idecompose()

template<typename T_Matrix>

void cla3p::LapackBase< T_Matrix >::idecompose

(

T_Matrix &

mat

)

Performs in-place matrix decomposition.

Computes the matrix factorization by overwriting the input matrix.

Parameters

[in,out]

mat

The matrix to be decomposed, destroyed after the operation.

solve() [1/2]

template<typename T_Matrix>

void cla3p::LapackBase< T_Matrix >::solve

(

T_Matrix &

rhs

)

const

Performs in-place matrix solution.

Solves the linear system using the precomputed factorization.

Parameters

[in,out]

rhs

On input, the right hand side matrix, on exit is overwritten with the solution.

Examples

ex05a_solving_linear_systems_lu.cpp, ex05b_solving_linear_systems_ldlt.cpp, and ex05c_solving_linear_systems_auto.cpp.

solve() [2/2]

template<typename T_Matrix>

void cla3p::LapackBase< T_Matrix >::solve

(

T_Vector &

rhs

)

const

Performs in-place vector solution.

Solves the linear system using the precomputed factorization.

Parameters

[in,out]

rhs

On input, the right hand side vector, on exit is overwritten with the solution.