Contains the structured matrix C interfaces, see StructuredMatrix.hpp for the C++ interface. More...

#include <stdint.h>
#include <complex.h>
#include "StrumpackConfig.hpp"
#include "mpi.h"

Include dependency graph for StructuredMatrix.h:

Classes
struct	CSPOptions
	Structure containing options for structured matrix compression, to be used with the C interface. More...

Macros
#define	OMPI_SKIP_MPICXX 1

Typedefs
typedef struct CSPOptions	CSPOptions

typedef void *	CSPStructMat
	Type representing a structured matrix in the C interface. More...

Enumerations
enum	SP_STRUCTURED_TYPE { SP_TYPE_HSS = 0 , SP_TYPE_BLR , SP_TYPE_HODLR , SP_TYPE_HODBF , SP_TYPE_BUTTERFLY , SP_TYPE_LR , SP_TYPE_LOSSY , SP_TYPE_LOSSLESS }

Functions
void	SP_s_struct_default_options (CSPOptions *opts)

void	SP_d_struct_default_options (CSPOptions *opts)

void	SP_c_struct_default_options (CSPOptions *opts)

void	SP_z_struct_default_options (CSPOptions *opts)

void	SP_s_struct_destroy (CSPStructMat *S)

void	SP_d_struct_destroy (CSPStructMat *S)

void	SP_c_struct_destroy (CSPStructMat *S)

void	SP_z_struct_destroy (CSPStructMat *S)

int	SP_s_struct_rows (const CSPStructMat S)

int	SP_d_struct_rows (const CSPStructMat S)

int	SP_c_struct_rows (const CSPStructMat S)

int	SP_z_struct_rows (const CSPStructMat S)

int	SP_s_struct_cols (const CSPStructMat S)

int	SP_d_struct_cols (const CSPStructMat S)

int	SP_c_struct_cols (const CSPStructMat S)

int	SP_z_struct_cols (const CSPStructMat S)

long long int	SP_s_struct_memory (const CSPStructMat S)

long long int	SP_d_struct_memory (const CSPStructMat S)

long long int	SP_c_struct_memory (const CSPStructMat S)

long long int	SP_z_struct_memory (const CSPStructMat S)

long long int	SP_s_struct_nonzeros (const CSPStructMat S)

long long int	SP_d_struct_nonzeros (const CSPStructMat S)

long long int	SP_c_struct_nonzeros (const CSPStructMat S)

long long int	SP_z_struct_nonzeros (const CSPStructMat S)

int	SP_s_struct_rank (const CSPStructMat S)

int	SP_d_struct_rank (const CSPStructMat S)

int	SP_c_struct_rank (const CSPStructMat S)

int	SP_z_struct_rank (const CSPStructMat S)

int	SP_s_struct_from_dense (CSPStructMat S, int rows, int cols, const float A, int ldA, const CSPOptions *opts)

int	SP_d_struct_from_dense (CSPStructMat S, int rows, int cols, const double A, int ldA, const CSPOptions *opts)

int	SP_c_struct_from_dense (CSPStructMat S, int rows, int cols, const float _Complex A, int ldA, const CSPOptions *opts)

int	SP_z_struct_from_dense (CSPStructMat S, int rows, int cols, const double _Complex A, int ldA, const CSPOptions *opts)

int	SP_s_struct_from_elements (CSPStructMat S, int rows, int cols, float(int i, int j), const CSPOptions opts)

int	SP_d_struct_from_elements (CSPStructMat S, int rows, int cols, double(int i, int j), const CSPOptions opts)

int	SP_c_struct_from_elements (CSPStructMat S, int rows, int cols, float _Complex(int i, int j), const CSPOptions opts)

int	SP_z_struct_from_elements (CSPStructMat S, int rows, int cols, double _Complex(int i, int j), const CSPOptions opts)

int	SP_s_struct_from_dense2d (CSPStructMat S, const MPI_Comm comm, int rows, int cols, const float A, int IA, int JA, int DESCA, const CSPOptions opts)

int	SP_d_struct_from_dense2d (CSPStructMat S, const MPI_Comm comm, int rows, int cols, const double A, int IA, int JA, int DESCA, const CSPOptions opts)

int	SP_c_struct_from_dense2d (CSPStructMat S, const MPI_Comm comm, int rows, int cols, const float _Complex A, int IA, int JA, int DESCA, const CSPOptions opts)

int	SP_z_struct_from_dense2d (CSPStructMat S, const MPI_Comm comm, int rows, int cols, const double _Complex A, int IA, int JA, int DESCA, const CSPOptions opts)

int	SP_s_struct_from_elements_mpi (CSPStructMat S, const MPI_Comm comm, int rows, int cols, float A(int i, int j), const CSPOptions opts)

int	SP_d_struct_from_elements_mpi (CSPStructMat S, const MPI_Comm comm, int rows, int cols, double A(int i, int j), const CSPOptions opts)

int	SP_c_struct_from_elements_mpi (CSPStructMat S, const MPI_Comm comm, int rows, int cols, float _Complex A(int i, int j), const CSPOptions opts)

int	SP_z_struct_from_elements_mpi (CSPStructMat S, const MPI_Comm comm, int rows, int cols, double _Complex A(int i, int j), const CSPOptions opts)

int	SP_s_struct_local_rows (const CSPStructMat S)

int	SP_d_struct_local_rows (const CSPStructMat S)

int	SP_c_struct_local_rows (const CSPStructMat S)

int	SP_z_struct_local_rows (const CSPStructMat S)

int	SP_s_struct_begin_row (const CSPStructMat S)

int	SP_d_struct_begin_row (const CSPStructMat S)

int	SP_c_struct_begin_row (const CSPStructMat S)

int	SP_z_struct_begin_row (const CSPStructMat S)

int	SP_s_struct_mult (const CSPStructMat S, char trans, int m, const float B, int ldB, float C, int ldC)

int	SP_d_struct_mult (const CSPStructMat S, char trans, int m, const double B, int ldB, double C, int ldC)

int	SP_c_struct_mult (const CSPStructMat S, char trans, int m, const float _Complex B, int ldB, float _Complex C, int ldC)

int	SP_z_struct_mult (const CSPStructMat S, char trans, int m, const double _Complex B, int ldB, double _Complex C, int ldC)

int	SP_s_struct_factor (CSPStructMat S)

int	SP_d_struct_factor (CSPStructMat S)

int	SP_c_struct_factor (CSPStructMat S)

int	SP_z_struct_factor (CSPStructMat S)

int	SP_s_struct_solve (const CSPStructMat S, int nrhs, float *B, int ldB)

int	SP_d_struct_solve (const CSPStructMat S, int nrhs, double *B, int ldB)

int	SP_c_struct_solve (const CSPStructMat S, int nrhs, float _Complex *B, int ldB)

int	SP_z_struct_solve (const CSPStructMat S, int nrhs, double _Complex *B, int ldB)

int	SP_s_struct_shift (CSPStructMat S, float s)

int	SP_d_struct_shift (CSPStructMat S, double s)

int	SP_c_struct_shift (CSPStructMat S, float _Complex s)

int	SP_z_struct_shift (CSPStructMat S, double _Complex s)

Detailed Description

Contains the structured matrix C interfaces, see StructuredMatrix.hpp for the C++ interface.

Typedef Documentation

◆ CSPStructMat

typedef void* CSPStructMat

Type representing a structured matrix in the C interface.

See any of the SP_x_struct... routines. Internally this will be represented as a structured::StructuredMatrix object (implemented in C++).

Enumeration Type Documentation

◆ SP_STRUCTURED_TYPE

enum SP_STRUCTURED_TYPE

Enumeration of possible structured matrix types. See structured::Type

Function Documentation

◆ SP_c_struct_begin_row()

int SP_c_struct_begin_row ( const CSPStructMat S )

For a 1d distributed structured matrix, return the first row assigned to this process.

Returns: first row in 1d block row distribution

◆ SP_c_struct_cols()

int SP_c_struct_cols ( const CSPStructMat S )

Return number of cols in the structured matrix.

Returns: Number of cols of S.

◆ SP_c_struct_default_options()

void SP_c_struct_default_options ( CSPOptions * opts )

Fill the options structure with default values. Use this for single precision, complex.

Parameters

opts	Pointer to CSPOptions structure

◆ SP_c_struct_destroy()

void SP_c_struct_destroy ( CSPStructMat * S )

Destroy the structured matrix. Use this for a structured matrix created with one of the SP_c_struct_... routines, i.e., single precision, complex.

Parameters

S	Pointer to CSPStructMat object.

◆ SP_c_struct_factor()

int SP_c_struct_factor ( CSPStructMat S )

Compute a factorization of the structured matrix. Factors are stored internally. This needs to be called before calling SP_c_struct_solve, and after constructing the structured matrix.

Parameters

S	structured matrix

See also: SP_c_struct_solve

◆ SP_c_struct_from_dense()

int SP_c_struct_from_dense	(	CSPStructMat *	S,
		int	rows,
		int	cols,
		const float _Complex *	A,
		int	ldA,
		const CSPOptions *	opts
	)

Construct a structured matrix from a dense (column major) matrix. Use this for single precision, complex.

Parameters

S	Pointer to CSPStructMat object, which will be constructed.
rows	Number of rows in A
cols	Number of columns in A
A	Pointer to data of A, column major
ldA	leading dimension of A
opts	Options structure, needs to be initialized by the user.

Returns: 0 if successful

See also: SP_c_struct_destroy, SP_c_struct_default_options

◆ SP_c_struct_from_elements_mpi()

int SP_c_struct_from_elements_mpi	(	CSPStructMat *	S,
		const MPI_Comm	comm,
		int	rows,
		int	cols,
		float _Complex	Aint i, int j,
		const CSPOptions *	opts
	)

Construct a structured matrix using a routine to compute individual elements, using MPI. Should be called by all ranks in the communicator.

Parameters

S	Pointer to CSPStructMat object, which will be constructed.
comm	communicator
rows	Number of rows in A
cols	Number of columns in A
A	Matrix element routine, returning A(i,j)
opts	Options structure, needs to be initialized by the user.

Returns: 0 if successful

See also: SP_c_struct_destroy, SP_c_struct_default_options

◆ SP_c_struct_local_rows()

int SP_c_struct_local_rows ( const CSPStructMat S )

For a 1d distributed structured matrix, return the local number of rows assigned to this process.

Returns: number of local rows

◆ SP_c_struct_memory()

long long int SP_c_struct_memory ( const CSPStructMat S )

Return the total amount of memory used by this matrix, in bytes.

Returns: Memory usage in bytes.

See also: nonzeros

◆ SP_c_struct_mult()

int SP_c_struct_mult	(	const CSPStructMat	S,
		char	trans,
		int	m,
		const float _Complex *	B,
		int	ldB,
		float _Complex *	C,
		int	ldC
	)

Multiply a structured matrix with a dense matrix (or vector):

     C = S*B   if trans == 'N' or 'n'
     C = S^T*B if trans == 'T' or 't'
     C = S^C*B if trans == 'C' or 'c'

C should have rows(S) rows if trans == 'N'/'n', else cols(S). B should have cols(S) rows if trans == 'N'/'n', else rows(S).

Parameters

S	structured matrix
trans	(conjugate-)transpose of S?
m	number of columns in B and C
B	pointer to data of B (column major)
ldB	leading dimension for B
C	pointer to matrix C (column major)
ldC	leading dimension for C

◆ SP_c_struct_nonzeros()

long long int SP_c_struct_nonzeros ( const CSPStructMat S )

Return the total number of nonzeros stored by this matrix.

Returns: Nonzeros in the matrix representation.

See also: memory

◆ SP_c_struct_rank()

int SP_c_struct_rank ( const CSPStructMat S )

Return the maximum rank of this matrix over all low-rank compressed blocks.

Returns: Maximum rank.

◆ SP_c_struct_rows()

int SP_c_struct_rows ( const CSPStructMat S )

Return number of rows in the structured matrix.

Returns: Number of rows of S.

◆ SP_c_struct_shift()

int SP_c_struct_shift	(	CSPStructMat	S,
		float _Complex	s
	)

Apply a shift to the diagonal of this matrix. Ie, S += s*I, with I the identity matrix. If this is called after calling factor, then the factors are not updated. To solve a linear system with the shifted matrix, you need to call factor again.

Parameters

S	structured matrix
s	Shift to be applied to the diagonal.

◆ SP_c_struct_solve()

int SP_c_struct_solve	(	const CSPStructMat	S,
		int	nrhs,
		float _Complex *	B,
		int	ldB
	)

Solve a system of linear equations with a structured matrix, with possibly multiple right-hand sides (column major). The solution overwrites the right-hand side. This should be called after SP_c_struct_factor. This can be called multiple times.

Parameters

S	structured matrix
nrhs	number of right-hand sides, columns in B
B	right-hand side, will be overwritten by the solution
ldB	leading dimension of B

See also: SP_c_struct_factor

◆ SP_d_struct_begin_row()

int SP_d_struct_begin_row ( const CSPStructMat S )

For a 1d distributed structured matrix, return the first row assigned to this process.

Returns: first row in 1d block row distribution

◆ SP_d_struct_cols()

int SP_d_struct_cols ( const CSPStructMat S )

Return number of cols in the structured matrix.

Returns: Number of cols of S.

◆ SP_d_struct_default_options()

void SP_d_struct_default_options ( CSPOptions * opts )

Fill the options structure with default values. Use this for double precision, real.

Parameters

opts	Pointer to CSPOptions structure

◆ SP_d_struct_destroy()

void SP_d_struct_destroy ( CSPStructMat * S )

Destroy the structured matrix. Use this for a structured matrix created with one of the SP_d_struct_... routines, i.e., double precision, real.

Parameters

S	Pointer to CSPStructMat object.

◆ SP_d_struct_factor()

int SP_d_struct_factor ( CSPStructMat S )

Compute a factorization of the structured matrix. Factors are stored internally. This needs to be called before calling SP_d_struct_solve, and after constructing the structured matrix.

Parameters

S	structured matrix

See also: SP_d_struct_solve

◆ SP_d_struct_from_dense()

int SP_d_struct_from_dense	(	CSPStructMat *	S,
		int	rows,
		int	cols,
		const double *	A,
		int	ldA,
		const CSPOptions *	opts
	)

Construct a structured matrix from a dense (column major) matrix. Use this for double precision, real.

Parameters

S	Pointer to CSPStructMat object, which will be constructed.
rows	Number of rows in A
cols	Number of columns in A
A	Pointer to data of A, column major
ldA	leading dimension of A
opts	Options structure, needs to be initialized by the user.

Returns: 0 if successful

See also: SP_d_struct_destroy, SP_d_struct_default_options

◆ SP_d_struct_from_elements_mpi()

int SP_d_struct_from_elements_mpi	(	CSPStructMat *	S,
		const MPI_Comm	comm,
		int	rows,
		int	cols,
		double	Aint i, int j,
		const CSPOptions *	opts
	)

Construct a structured matrix using a routine to compute individual elements, using MPI. Should be called by all ranks in the communicator.

Parameters

S	Pointer to CSPStructMat object, which will be constructed.
comm	communicator
rows	Number of rows in A
cols	Number of columns in A
A	Matrix element routine, returning A(i,j)
opts	Options structure, needs to be initialized by the user.

Returns: 0 if successful

See also: SP_d_struct_destroy, SP_d_struct_default_options

◆ SP_d_struct_local_rows()

int SP_d_struct_local_rows ( const CSPStructMat S )

For a 1d distributed structured matrix, return the local number of rows assigned to this process.

Returns: number of local rows

◆ SP_d_struct_memory()

long long int SP_d_struct_memory ( const CSPStructMat S )

Return the total amount of memory used by this matrix, in bytes.

Returns: Memory usage in bytes.

See also: nonzeros

◆ SP_d_struct_mult()

int SP_d_struct_mult	(	const CSPStructMat	S,
		char	trans,
		int	m,
		const double *	B,
		int	ldB,
		double *	C,
		int	ldC
	)

Multiply a structured matrix with a dense matrix (or vector):

     C = S*B   if trans == 'N' or 'n'
     C = S^T*B if trans == 'T' or 't'
     C = S^C*B if trans == 'C' or 'c'

C should have rows(S) rows if trans == 'N'/'n', else cols(S). B should have cols(S) rows if trans == 'N'/'n', else rows(S).

Parameters

S	structured matrix
trans	(conjugate-)transpose of S?
m	number of columns in B and C
B	pointer to data of B (column major)
ldB	leading dimension for B
C	pointer to matrix C (column major)
ldC	leading dimension for C

◆ SP_d_struct_nonzeros()

long long int SP_d_struct_nonzeros ( const CSPStructMat S )

Return the total number of nonzeros stored by this matrix.

Returns: Nonzeros in the matrix representation.

See also: memory

◆ SP_d_struct_rank()

int SP_d_struct_rank ( const CSPStructMat S )

Return the maximum rank of this matrix over all low-rank compressed blocks.

Returns: Maximum rank.

◆ SP_d_struct_rows()

int SP_d_struct_rows ( const CSPStructMat S )

Return number of rows in the structured matrix.

Returns: Number of rows of S.

◆ SP_d_struct_shift()

int SP_d_struct_shift	(	CSPStructMat	S,
		double	s
	)

Apply a shift to the diagonal of this matrix. Ie, S += s*I, with I the identity matrix. If this is called after calling factor, then the factors are not updated. To solve a linear system with the shifted matrix, you need to call factor again.

Parameters

S	structured matrix
s	Shift to be applied to the diagonal.

◆ SP_d_struct_solve()

int SP_d_struct_solve	(	const CSPStructMat	S,
		int	nrhs,
		double *	B,
		int	ldB
	)

Solve a system of linear equations with a structured matrix, with possibly multiple right-hand sides (column major). The solution overwrites the right-hand side. This should be called after SP_d_struct_factor. This can be called multiple times.

Parameters

S	structured matrix
nrhs	number of right-hand sides, columns in B
B	right-hand side, will be overwritten by the solution
ldB	leading dimension of B

See also: SP_d_struct_factor

◆ SP_s_struct_begin_row()

int SP_s_struct_begin_row ( const CSPStructMat S )

For a 1d distributed structured matrix, return the first row assigned to this process.

Returns: first row in 1d block row distribution

◆ SP_s_struct_cols()

int SP_s_struct_cols ( const CSPStructMat S )

Return number of cols in the structured matrix.

Returns: Number of cols of S.

◆ SP_s_struct_default_options()

void SP_s_struct_default_options ( CSPOptions * opts )

Fill the options structure with default values. Use this for single precision, real.

Parameters

opts	Pointer to CSPOptions structure

◆ SP_s_struct_destroy()

void SP_s_struct_destroy ( CSPStructMat * S )

Destroy the structured matrix. Use this for a structured matrix created with one of the SP_s_struct_... routines, i.e., single precision, real.

Parameters

S	Pointer to CSPStructMat object.

◆ SP_s_struct_factor()

int SP_s_struct_factor ( CSPStructMat S )

Compute a factorization of the structured matrix. Factors are stored internally. This needs to be called before calling SP_s_struct_solve, and after constructing the structured matrix.

Parameters

S	structured matrix

See also: SP_s_struct_solve

◆ SP_s_struct_from_dense()

int SP_s_struct_from_dense	(	CSPStructMat *	S,
		int	rows,
		int	cols,
		const float *	A,
		int	ldA,
		const CSPOptions *	opts
	)

Construct a structured matrix from a dense (column major) matrix. Use this for single precision, real.

Parameters

S	Pointer to CSPStructMat object, which will be constructed.
rows	Number of rows in A
cols	Number of columns in A
A	Pointer to data of A, column major
ldA	leading dimension of A
opts	Options structure, needs to be initialized by the user.

Returns: 0 if successful

See also: SP_s_struct_destroy, SP_s_struct_default_options

◆ SP_s_struct_from_elements_mpi()

int SP_s_struct_from_elements_mpi	(	CSPStructMat *	S,
		const MPI_Comm	comm,
		int	rows,
		int	cols,
		float	Aint i, int j,
		const CSPOptions *	opts
	)

Construct a structured matrix using a routine to compute individual elements, using MPI. Should be called by all ranks in the communicator.

Parameters

S	Pointer to CSPStructMat object, which will be constructed.
comm	communicator
rows	Number of rows in A
cols	Number of columns in A
A	Matrix element routine, returning A(i,j)
opts	Options structure, needs to be initialized by the user.

Returns: 0 if successful

See also: SP_s_struct_destroy, SP_s_struct_default_options

◆ SP_s_struct_local_rows()

int SP_s_struct_local_rows ( const CSPStructMat S )

For a 1d distributed structured matrix, return the local number of rows assigned to this process.

Returns: number of local rows

◆ SP_s_struct_memory()

long long int SP_s_struct_memory ( const CSPStructMat S )

Return the total amount of memory used by this matrix, in bytes.

Returns: Memory usage in bytes.

See also: nonzeros

◆ SP_s_struct_mult()

int SP_s_struct_mult	(	const CSPStructMat	S,
		char	trans,
		int	m,
		const float *	B,
		int	ldB,
		float *	C,
		int	ldC
	)

Multiply a structured matrix with a dense matrix (or vector):

     C = S*B   if trans == 'N' or 'n'
     C = S^T*B if trans == 'T' or 't'
     C = S^C*B if trans == 'C' or 'c'

C should have rows(S) rows if trans == 'N'/'n', else cols(S). B should have cols(S) rows if trans == 'N'/'n', else rows(S).

Parameters

S	structured matrix
trans	(conjugate-)transpose of S?
m	number of columns in B and C
B	pointer to data of B (column major)
ldB	leading dimension for B
C	pointer to matrix C (column major)
ldC	leading dimension for C

◆ SP_s_struct_nonzeros()

long long int SP_s_struct_nonzeros ( const CSPStructMat S )

Return the total number of nonzeros stored by this matrix.

Returns: Nonzeros in the matrix representation.

See also: memory

◆ SP_s_struct_rank()

int SP_s_struct_rank ( const CSPStructMat S )

Return the maximum rank of this matrix over all low-rank compressed blocks.

Returns: Maximum rank.

◆ SP_s_struct_rows()

int SP_s_struct_rows ( const CSPStructMat S )

Return number of rows in the structured matrix.

Returns: Number of rows of S.

◆ SP_s_struct_shift()

int SP_s_struct_shift	(	CSPStructMat	S,
		float	s
	)

Apply a shift to the diagonal of this matrix. Ie, S += s*I, with I the identity matrix. If this is called after calling factor, then the factors are not updated. To solve a linear system with the shifted matrix, you need to call factor again.

Parameters

S	structured matrix
s	Shift to be applied to the diagonal.

◆ SP_s_struct_solve()

int SP_s_struct_solve	(	const CSPStructMat	S,
		int	nrhs,
		float *	B,
		int	ldB
	)

Solve a system of linear equations with a structured matrix, with possibly multiple right-hand sides (column major). The solution overwrites the right-hand side. This should be called after SP_s_struct_factor. This can be called multiple times.

Parameters

S	structured matrix
nrhs	number of right-hand sides, columns in B
B	right-hand side, will be overwritten by the solution
ldB	leading dimension of B

See also: SP_s_struct_factor

◆ SP_z_struct_begin_row()

int SP_z_struct_begin_row ( const CSPStructMat S )

For a 1d distributed structured matrix, return the first row assigned to this process.

Returns: first row in 1d block row distribution

◆ SP_z_struct_cols()

int SP_z_struct_cols ( const CSPStructMat S )

Return number of cols in the structured matrix.

Returns: Number of cols of S.

◆ SP_z_struct_default_options()

void SP_z_struct_default_options ( CSPOptions * opts )

Fill the options structure with default values. Use this for double precision, complex.

Parameters

opts	Pointer to CSPOptions structure

◆ SP_z_struct_destroy()

void SP_z_struct_destroy ( CSPStructMat * S )

Destroy the structured matrix. Use this for a structured matrix created with one of the SP_z_struct_... routines, i.e., double precision, complex.

Parameters

S	Pointer to CSPStructMat object.

◆ SP_z_struct_factor()

int SP_z_struct_factor ( CSPStructMat S )

Compute a factorization of the structured matrix. Factors are stored internally. This needs to be called before calling SP_z_struct_solve, and after constructing the structured matrix.

Parameters

S	structured matrix

See also: SP_z_struct_solve

◆ SP_z_struct_from_dense()

int SP_z_struct_from_dense	(	CSPStructMat *	S,
		int	rows,
		int	cols,
		const double _Complex *	A,
		int	ldA,
		const CSPOptions *	opts
	)

Construct a structured matrix from a dense (column major) matrix. Use this for double precision, complex.

Parameters

S	Pointer to CSPStructMat object, which will be constructed.
rows	Number of rows in A
cols	Number of columns in A
A	Pointer to data of A, column major
ldA	leading dimension of A
opts	Options structure, needs to be initialized by the user.

Returns: 0 if successful

See also: SP_z_struct_destroy, SP_z_struct_default_options

◆ SP_z_struct_from_elements_mpi()

int SP_z_struct_from_elements_mpi	(	CSPStructMat *	S,
		const MPI_Comm	comm,
		int	rows,
		int	cols,
		double _Complex	Aint i, int j,
		const CSPOptions *	opts
	)

Construct a structured matrix using a routine to compute individual elements, using MPI. Should be called by all ranks in the communicator.

Parameters

S	Pointer to CSPStructMat object, which will be constructed.
comm	communicator
rows	Number of rows in A
cols	Number of columns in A
A	Matrix element routine, returning A(i,j)
opts	Options structure, needs to be initialized by the user.

Returns: 0 if successful

See also: SP_z_struct_destroy, SP_z_struct_default_options

◆ SP_z_struct_local_rows()

int SP_z_struct_local_rows ( const CSPStructMat S )

For a 1d distributed structured matrix, return the local number of rows assigned to this process.

Returns: number of local rows

◆ SP_z_struct_memory()

long long int SP_z_struct_memory ( const CSPStructMat S )

Return the total amount of memory used by this matrix, in bytes.

Returns: Memory usage in bytes.

See also: nonzeros

◆ SP_z_struct_mult()

int SP_z_struct_mult	(	const CSPStructMat	S,
		char	trans,
		int	m,
		const double _Complex *	B,
		int	ldB,
		double _Complex *	C,
		int	ldC
	)

Multiply a structured matrix with a dense matrix (or vector):

     C = S*B   if trans == 'N' or 'n'
     C = S^T*B if trans == 'T' or 't'
     C = S^C*B if trans == 'C' or 'c'

C should have rows(S) rows if trans == 'N'/'n', else cols(S). B should have cols(S) rows if trans == 'N'/'n', else rows(S).

Parameters

S	structured matrix
trans	(conjugate-)transpose of S?
m	number of columns in B and C
B	pointer to data of B (column major)
ldB	leading dimension for B
C	pointer to matrix C (column major)
ldC	leading dimension for C

◆ SP_z_struct_nonzeros()

long long int SP_z_struct_nonzeros ( const CSPStructMat S )

Return the total number of nonzeros stored by this matrix.

Returns: Nonzeros in the matrix representation.

See also: memory

◆ SP_z_struct_rank()

int SP_z_struct_rank ( const CSPStructMat S )

Return the maximum rank of this matrix over all low-rank compressed blocks.

Returns: Maximum rank.

◆ SP_z_struct_rows()

int SP_z_struct_rows ( const CSPStructMat S )

Return number of rows in the structured matrix.

Returns: Number of rows of S.

◆ SP_z_struct_shift()

int SP_z_struct_shift	(	CSPStructMat	S,
		double _Complex	s
	)

Apply a shift to the diagonal of this matrix. Ie, S += s*I, with I the identity matrix. If this is called after calling factor, then the factors are not updated. To solve a linear system with the shifted matrix, you need to call factor again.

Parameters

S	structured matrix
s	Shift to be applied to the diagonal.

◆ SP_z_struct_solve()

int SP_z_struct_solve	(	const CSPStructMat	S,
		int	nrhs,
		double _Complex *	B,
		int	ldB
	)

Solve a system of linear equations with a structured matrix, with possibly multiple right-hand sides (column major). The solution overwrites the right-hand side. This should be called after SP_z_struct_factor. This can be called multiple times.

Parameters

S	structured matrix
nrhs	number of right-hand sides, columns in B
B	right-hand side, will be overwritten by the solution
ldB	leading dimension of B

See also: SP_z_struct_factor

Classes

Macros

Typedefs

Enumerations

Functions

Detailed Description

Typedef Documentation

◆ CSPStructMat

Enumeration Type Documentation

◆ SP_STRUCTURED_TYPE

Function Documentation

◆ SP_c_struct_begin_row()

◆ SP_c_struct_cols()

◆ SP_c_struct_default_options()

◆ SP_c_struct_destroy()

◆ SP_c_struct_factor()

◆ SP_c_struct_from_dense()

◆ SP_c_struct_from_elements_mpi()

◆ SP_c_struct_local_rows()

◆ SP_c_struct_memory()

◆ SP_c_struct_mult()

◆ SP_c_struct_nonzeros()

◆ SP_c_struct_rank()

◆ SP_c_struct_rows()

◆ SP_c_struct_shift()

◆ SP_c_struct_solve()

◆ SP_d_struct_begin_row()

◆ SP_d_struct_cols()

◆ SP_d_struct_default_options()

◆ SP_d_struct_destroy()

◆ SP_d_struct_factor()

◆ SP_d_struct_from_dense()

◆ SP_d_struct_from_elements_mpi()

◆ SP_d_struct_local_rows()

◆ SP_d_struct_memory()

◆ SP_d_struct_mult()

◆ SP_d_struct_nonzeros()

◆ SP_d_struct_rank()

◆ SP_d_struct_rows()

◆ SP_d_struct_shift()

◆ SP_d_struct_solve()

◆ SP_s_struct_begin_row()

◆ SP_s_struct_cols()

◆ SP_s_struct_default_options()

◆ SP_s_struct_destroy()

◆ SP_s_struct_factor()

◆ SP_s_struct_from_dense()

◆ SP_s_struct_from_elements_mpi()

◆ SP_s_struct_local_rows()

◆ SP_s_struct_memory()

◆ SP_s_struct_mult()

◆ SP_s_struct_nonzeros()

◆ SP_s_struct_rank()

◆ SP_s_struct_rows()

◆ SP_s_struct_shift()

◆ SP_s_struct_solve()

◆ SP_z_struct_begin_row()

◆ SP_z_struct_cols()

◆ SP_z_struct_default_options()

◆ SP_z_struct_destroy()

◆ SP_z_struct_factor()

◆ SP_z_struct_from_dense()

◆ SP_z_struct_from_elements_mpi()

◆ SP_z_struct_local_rows()

◆ SP_z_struct_memory()

◆ SP_z_struct_mult()

◆ SP_z_struct_nonzeros()

◆ SP_z_struct_rank()

◆ SP_z_struct_rows()

◆ SP_z_struct_shift()

◆ SP_z_struct_solve()