single-complex precision
[Symmetric positive definite solver]

Functions

magma_int_t magma_cbpcg (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_solver_par *solver_par, magma_c_preconditioner *precond_par, magma_queue_t queue)
 Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.
magma_int_t magma_ccg (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_solver_par *solver_par, magma_queue_t queue)
 Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.
magma_int_t magma_ccg_merge (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_solver_par *solver_par, magma_queue_t queue)
 Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.
magma_int_t magma_ccg_res (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_solver_par *solver_par, magma_queue_t queue)
 Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.
magma_int_t magma_cpcg (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *x, magma_c_solver_par *solver_par, magma_c_preconditioner *precond_par, magma_queue_t queue)
 Solves a system of linear equations A * X = B where A is a complex Hermitian N-by-N positive definite matrix A.

Function Documentation

magma_int_t magma_cbpcg ( magma_c_matrix  A,
magma_c_matrix  b,
magma_c_matrix *  x,
magma_c_solver_par *  solver_par,
magma_c_preconditioner *  precond_par,
magma_queue_t  queue 
)

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

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

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

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

This is a GPU implementation of the Conjugate Gradient method.

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

Solves a system of linear equations A * X = B where A is a complex Hermitian 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_c_matrix input matrix A
[in] b magma_c_matrix RHS b
[in,out] x magma_c_matrix* solution approximation
[in,out] solver_par magma_c_solver_par* solver parameters
[in] queue magma_queue_t Queue to execute in.
magma_int_t magma_ccg_res ( magma_c_matrix  A,
magma_c_matrix  b,
magma_c_matrix *  x,
magma_c_solver_par *  solver_par,
magma_queue_t  queue 
)

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

This is a GPU implementation of the Conjugate Gradient method.

Parameters:
[in] A magma_c_matrix input matrix A
[in] b magma_c_matrix RHS b
[in,out] x magma_c_matrix* solution approximation
[in,out] solver_par magma_c_solver_par* solver parameters
[in] queue magma_queue_t Queue to execute in.
magma_int_t magma_cpcg ( magma_c_matrix  A,
magma_c_matrix  b,
magma_c_matrix *  x,
magma_c_solver_par *  solver_par,
magma_c_preconditioner *  precond_par,
magma_queue_t  queue 
)

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

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

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

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