arnoldi_methods Module Reference

methods for arnoldi iteration More...

Functions/Subroutines
subroutine, public	arnoldi_iram (arnoldi_data)
	Interface for the routine calcualting the implicit restarts Currently all based on lapack. More...
subroutine, public	compute_evals (arnoldi_data)
	Interface to compute the eigenvalues of a nonsymmetric matrix This is only the serial version. More...
subroutine, public	arnoldi_init (matrix, vectors, arnoldi_data)
	Interface for the initialization of the arnoldi subspace creation currently it can only setup a random vector but can be improved to various types of restarts easily. More...
subroutine, public	gev_arnoldi_init (matrix, matrix_arnoldi, vectors, arnoldi_data)
	Interface for the initialization of the arnoldi subspace creation for the generalized eigenvalue problem. More...
subroutine, public	build_subspace (matrix, vectors, arnoldi_data)
	here the iterations are performed and the krylov space is constructed More...
subroutine, public	gev_build_subspace (matrix, vectors, arnoldi_data)
	here the iterations are performed and the krylov space for the generalized eigenvalue problem is created More...
subroutine, public	gev_update_data (matrix, matrix_arnoldi, vectors, arnoldi_data)
	in the generalized eigenvalue the matrix depende on the projection therefore the outer loop has to build a new set of matrices for the inner loop More...

Detailed Description

methods for arnoldi iteration

History

2014.09 created [Florian Schiffmann]

Author

Florian Schiffmann

Function/Subroutine Documentation

arnoldi_iram()

subroutine, public arnoldi_methods::arnoldi_iram

(

type(arnoldi_data_type)

arnoldi_data

)

Interface for the routine calcualting the implicit restarts Currently all based on lapack.

Parameters

arnoldi_data

...

Definition at line 54 of file arnoldi_methods.F.

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compute_evals()

subroutine, public arnoldi_methods::compute_evals

(

type(arnoldi_data_type)

arnoldi_data

)

Interface to compute the eigenvalues of a nonsymmetric matrix This is only the serial version.

Parameters

arnoldi_data

...

Definition at line 75 of file arnoldi_methods.F.

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arnoldi_init()

subroutine, public arnoldi_methods::arnoldi_init	(	type(dbcsr_p_type), dimension(:)	matrix,
		type(m_x_v_vectors_type)	vectors,
		type(arnoldi_data_type)	arnoldi_data
	)

Interface for the initialization of the arnoldi subspace creation currently it can only setup a random vector but can be improved to various types of restarts easily.

Parameters

matrix	pointer to the matrices as described in main interface
vectors	work vectors for the matrix vector multiplications
arnoldi_data	all data concerning the subspace

Definition at line 99 of file arnoldi_methods.F.

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gev_arnoldi_init()

subroutine, public arnoldi_methods::gev_arnoldi_init	(	type(dbcsr_p_type), dimension(:)	matrix,
		type(dbcsr_p_type), dimension(:)	matrix_arnoldi,
		type(m_x_v_vectors_type)	vectors,
		type(arnoldi_data_type)	arnoldi_data
	)

Interface for the initialization of the arnoldi subspace creation for the generalized eigenvalue problem.

Parameters

matrix	pointer to the matrices as described in main interface
matrix_arnoldi	...
vectors	work vectors for the matrix vector multiplications
arnoldi_data	all data concerning the subspace

Definition at line 125 of file arnoldi_methods.F.

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build_subspace()

subroutine, public arnoldi_methods::build_subspace	(	type(dbcsr_p_type), dimension(:)	matrix,
		type(m_x_v_vectors_type)	vectors,
		type(arnoldi_data_type)	arnoldi_data
	)

here the iterations are performed and the krylov space is constructed

Parameters

matrix	see above
vectors	see above
arnoldi_data	see above

Definition at line 149 of file arnoldi_methods.F.

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gev_build_subspace()

subroutine, public arnoldi_methods::gev_build_subspace	(	type(dbcsr_p_type), dimension(:)	matrix,
		type(m_x_v_vectors_type)	vectors,
		type(arnoldi_data_type)	arnoldi_data
	)

here the iterations are performed and the krylov space for the generalized eigenvalue problem is created

Parameters

matrix	see above
vectors	see above
arnoldi_data	see above

Definition at line 174 of file arnoldi_methods.F.

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gev_update_data()

subroutine, public arnoldi_methods::gev_update_data	(	type(dbcsr_p_type), dimension(:)	matrix,
		type(dbcsr_p_type), dimension(:)	matrix_arnoldi,
		type(m_x_v_vectors_type)	vectors,
		type(arnoldi_data_type)	arnoldi_data
	)

in the generalized eigenvalue the matrix depende on the projection therefore the outer loop has to build a new set of matrices for the inner loop

Parameters

matrix	see above
matrix_arnoldi	...
vectors	...
arnoldi_data	see above

Definition at line 201 of file arnoldi_methods.F.

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