single precision
[Symmetric positive definite solver]

Functions

magma_int_t magma_sbpcg (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_preconditioner *precond_par, magma_queue_t queue)
 Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.
magma_int_t magma_scg (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_queue_t queue)
 Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.
magma_int_t magma_scg_merge (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_queue_t queue)
 Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.
magma_int_t magma_scg_res (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_queue_t queue)
 Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.
magma_int_t magma_spcg (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_preconditioner *precond_par, magma_queue_t queue)
 Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.

Function Documentation

magma_int_t magma_sbpcg ( magma_s_matrix  A,
magma_s_matrix  b,
magma_s_matrix *  x,
magma_s_solver_par *  solver_par,
magma_s_preconditioner *  precond_par,
magma_queue_t  queue 
)

Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.

This is a GPU implementation of the block preconditioned Conjugate Gradient method.

Parameters:
[in] A magma_s_matrix input matrix A
[in] b magma_s_matrix RHS b - can be a block
[in,out] x magma_s_matrix* solution approximation
[in,out] solver_par magma_s_solver_par* solver parameters
[in] precond_par magma_s_preconditioner* preconditioner
[in] queue magma_queue_t Queue to execute in.
magma_int_t magma_scg ( magma_s_matrix  A,
magma_s_matrix  b,
magma_s_matrix *  x,
magma_s_solver_par *  solver_par,
magma_queue_t  queue 
)

Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.

This is a GPU implementation of the Conjugate Gradient method.

Parameters:
[in] A magma_s_matrix input matrix A
[in] b magma_s_matrix RHS b
[in,out] x magma_s_matrix* solution approximation
[in,out] solver_par magma_s_solver_par* solver parameters
[in] queue magma_queue_t Queue to execute in.
magma_int_t magma_scg_merge ( magma_s_matrix  A,
magma_s_matrix  b,
magma_s_matrix *  x,
magma_s_solver_par *  solver_par,
magma_queue_t  queue 
)

Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.

This is a GPU implementation of the Conjugate Gradient method in variant, where multiple operations are merged into one compute kernel.

Parameters:
[in] A magma_s_matrix input matrix A
[in] b magma_s_matrix RHS b
[in,out] x magma_s_matrix* solution approximation
[in,out] solver_par magma_s_solver_par* solver parameters
[in] queue magma_queue_t Queue to execute in.
magma_int_t magma_scg_res ( magma_s_matrix  A,
magma_s_matrix  b,
magma_s_matrix *  x,
magma_s_solver_par *  solver_par,
magma_queue_t  queue 
)

Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.

This is a GPU implementation of the Conjugate Gradient method.

Parameters:
[in] A magma_s_matrix input matrix A
[in] b magma_s_matrix RHS b
[in,out] x magma_s_matrix* solution approximation
[in,out] solver_par magma_s_solver_par* solver parameters
[in] queue magma_queue_t Queue to execute in.
magma_int_t magma_spcg ( magma_s_matrix  A,
magma_s_matrix  b,
magma_s_matrix *  x,
magma_s_solver_par *  solver_par,
magma_s_preconditioner *  precond_par,
magma_queue_t  queue 
)

Solves a system of linear equations A * X = B where A is a real symmetric N-by-N positive definite matrix A.

This is a GPU implementation of the preconditioned Conjugate Gradient method.

Parameters:
[in] A magma_s_matrix input matrix A
[in] b magma_s_matrix RHS b
[in,out] x magma_s_matrix* solution approximation
[in,out] solver_par magma_s_solver_par* solver parameters
[in] precond_par magma_s_preconditioner* preconditioner
[in] queue magma_queue_t Queue to execute in.

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