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MAGMA
2.0.0
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
magma_int_t | magma_djacobisetup_matrix (magma_d_matrix A, magma_d_matrix *M, magma_d_matrix *d, magma_queue_t queue) |
Prepares the Matrix M for the Jacobi Iteration according to x^(k+1) = D^(-1) * b - D^(-1) * (L+U) * x^k x^(k+1) = c - M * x^k. More... | |
magma_int_t | magma_djacobisetup_diagscal (magma_d_matrix A, magma_d_matrix *d, magma_queue_t queue) |
It returns a vector d containing the inverse diagonal elements. More... | |
magma_int_t | magma_djacobisetup_vector (magma_d_matrix b, magma_d_matrix d, magma_d_matrix *c, magma_queue_t queue) |
Prepares the Jacobi Iteration according to x^(k+1) = D^(-1) * b - D^(-1) * (L+U) * x^k x^(k+1) = c - M * x^k. More... | |
magma_int_t | magma_djacobisetup (magma_d_matrix A, magma_d_matrix b, magma_d_matrix *M, magma_d_matrix *c, magma_queue_t queue) |
Prepares the Jacobi Iteration according to x^(k+1) = D^(-1) * b - D^(-1) * (L+U) * x^k x^(k+1) = c - M * x^k. More... | |
magma_int_t | magma_djacobiiter (magma_d_matrix M, magma_d_matrix c, magma_d_matrix *x, magma_d_solver_par *solver_par, magma_queue_t queue) |
Iterates the solution approximation according to x^(k+1) = D^(-1) * b - D^(-1) * (L+U) * x^k x^(k+1) = c - M * x^k. More... | |
magma_int_t | magma_djacobiiter_precond (magma_d_matrix M, magma_d_matrix *x, magma_d_solver_par *solver_par, magma_d_preconditioner *precond, magma_queue_t queue) |
Iterates the solution approximation according to x^(k+1) = D^(-1) * b - D^(-1) * (L+U) * x^k x^(k+1) = c - M * x^k. More... | |
magma_int_t | magma_djacobiiter_sys (magma_d_matrix A, magma_d_matrix b, magma_d_matrix d, magma_d_matrix t, magma_d_matrix *x, magma_d_solver_par *solver_par, magma_queue_t queue) |
Iterates the solution approximation according to x^(k+1) = D^(-1) * b - D^(-1) * (L+U) * x^k x^(k+1) = c - M * x^k. More... | |
magma_int_t magma_djacobiiter | ( | magma_d_matrix | M, |
magma_d_matrix | c, | ||
magma_d_matrix * | x, | ||
magma_d_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Iterates the solution approximation according to x^(k+1) = D^(-1) * b - D^(-1) * (L+U) * x^k x^(k+1) = c - M * x^k.
This routine takes the iteration matrix M as input.
[in] | M | magma_d_matrix input matrix M = D^(-1) * (L+U) |
[in] | c | magma_d_matrix c = D^(-1) * b |
[in,out] | x | magma_d_matrix* iteration vector x |
[in,out] | solver_par | magma_d_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_djacobiiter_precond | ( | magma_d_matrix | M, |
magma_d_matrix * | x, | ||
magma_d_solver_par * | solver_par, | ||
magma_d_preconditioner * | precond, | ||
magma_queue_t | queue | ||
) |
Iterates the solution approximation according to x^(k+1) = D^(-1) * b - D^(-1) * (L+U) * x^k x^(k+1) = c - M * x^k.
[in] | M | magma_d_matrix input matrix M = D^(-1) * (L+U) |
[in,out] | x | magma_d_matrix* iteration vector x |
[in,out] | solver_par | magma_d_solver_par* solver parameters |
[in] | precond | magma_d_precond_par* precond parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_djacobiiter_sys | ( | magma_d_matrix | A, |
magma_d_matrix | b, | ||
magma_d_matrix | d, | ||
magma_d_matrix | t, | ||
magma_d_matrix * | x, | ||
magma_d_solver_par * | solver_par, | ||
magma_queue_t | queue | ||
) |
Iterates the solution approximation according to x^(k+1) = D^(-1) * b - D^(-1) * (L+U) * x^k x^(k+1) = c - M * x^k.
This routine takes the system matrix A and the RHS b as input.
[in] | A | magma_d_matrix input matrix M = D^(-1) * (L+U) |
[in] | b | magma_d_matrix input RHS b |
[in] | d | magma_d_matrix input matrix diagonal elements diag(A) |
[in] | t | magma_d_matrix temporary vector |
[in,out] | x | magma_d_matrix* iteration vector x |
[in,out] | solver_par | magma_d_solver_par* solver parameters |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_djacobisetup | ( | magma_d_matrix | A, |
magma_d_matrix | b, | ||
magma_d_matrix * | M, | ||
magma_d_matrix * | c, | ||
magma_queue_t | queue | ||
) |
Prepares the Jacobi Iteration according to x^(k+1) = D^(-1) * b - D^(-1) * (L+U) * x^k x^(k+1) = c - M * x^k.
[in] | A | magma_d_matrix input matrix A |
[in] | b | magma_d_matrix RHS b |
[in] | M | magma_d_matrix* M = D^(-1) * (L+U) |
[in] | c | magma_d_matrix* c = D^(-1) * b |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_djacobisetup_diagscal | ( | magma_d_matrix | A, |
magma_d_matrix * | d, | ||
magma_queue_t | queue | ||
) |
It returns a vector d containing the inverse diagonal elements.
[in] | A | magma_d_matrix input matrix A |
[in,out] | d | magma_d_matrix* vector with diagonal elements |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_djacobisetup_matrix | ( | magma_d_matrix | A, |
magma_d_matrix * | M, | ||
magma_d_matrix * | d, | ||
magma_queue_t | queue | ||
) |
Prepares the Matrix M for the Jacobi Iteration according to x^(k+1) = D^(-1) * b - D^(-1) * (L+U) * x^k x^(k+1) = c - M * x^k.
It returns the preconditioner Matrix M and a vector d containing the diagonal elements.
[in] | A | magma_d_matrix input matrix A |
[in] | M | magma_d_matrix* M = D^(-1) * (L+U) |
[in,out] | d | magma_d_matrix* vector with diagonal elements of A |
[in] | queue | magma_queue_t Queue to execute in. |
magma_int_t magma_djacobisetup_vector | ( | magma_d_matrix | b, |
magma_d_matrix | d, | ||
magma_d_matrix * | c, | ||
magma_queue_t | queue | ||
) |
Prepares the Jacobi Iteration according to x^(k+1) = D^(-1) * b - D^(-1) * (L+U) * x^k x^(k+1) = c - M * x^k.
Returns the vector c
[in] | b | magma_d_matrix RHS b |
[in] | d | magma_d_matrix vector with diagonal entries |
[in] | c | magma_d_matrix* c = D^(-1) * b |
[in] | queue | magma_queue_t Queue to execute in. |