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MAGMA
2.0.0
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
| magma_int_t | magma_sjacobisetup_matrix (magma_s_matrix A, magma_s_matrix *M, magma_s_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_sjacobisetup_diagscal (magma_s_matrix A, magma_s_matrix *d, magma_queue_t queue) |
| It returns a vector d containing the inverse diagonal elements. More... | |
| magma_int_t | magma_sjacobisetup_vector (magma_s_matrix b, magma_s_matrix d, magma_s_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_sjacobisetup (magma_s_matrix A, magma_s_matrix b, magma_s_matrix *M, magma_s_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_sjacobiiter (magma_s_matrix M, magma_s_matrix c, magma_s_matrix *x, magma_s_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_sjacobiiter_precond (magma_s_matrix M, magma_s_matrix *x, magma_s_solver_par *solver_par, magma_s_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_sjacobiiter_sys (magma_s_matrix A, magma_s_matrix b, magma_s_matrix d, magma_s_matrix t, magma_s_matrix *x, magma_s_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_sjacobiiter | ( | magma_s_matrix | M, |
| magma_s_matrix | c, | ||
| magma_s_matrix * | x, | ||
| magma_s_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_s_matrix input matrix M = D^(-1) * (L+U) |
| [in] | c | magma_s_matrix c = D^(-1) * b |
| [in,out] | x | magma_s_matrix* iteration vector x |
| [in,out] | solver_par | magma_s_solver_par* solver parameters |
| [in] | queue | magma_queue_t Queue to execute in. |
| magma_int_t magma_sjacobiiter_precond | ( | magma_s_matrix | M, |
| magma_s_matrix * | x, | ||
| magma_s_solver_par * | solver_par, | ||
| magma_s_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_s_matrix input matrix M = D^(-1) * (L+U) |
| [in,out] | x | magma_s_matrix* iteration vector x |
| [in,out] | solver_par | magma_s_solver_par* solver parameters |
| [in] | precond | magma_s_precond_par* precond parameters |
| [in] | queue | magma_queue_t Queue to execute in. |
| magma_int_t magma_sjacobiiter_sys | ( | magma_s_matrix | A, |
| magma_s_matrix | b, | ||
| magma_s_matrix | d, | ||
| magma_s_matrix | t, | ||
| magma_s_matrix * | x, | ||
| magma_s_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_s_matrix input matrix M = D^(-1) * (L+U) |
| [in] | b | magma_s_matrix input RHS b |
| [in] | d | magma_s_matrix input matrix diagonal elements diag(A) |
| [in] | t | magma_s_matrix temporary vector |
| [in,out] | x | magma_s_matrix* iteration vector x |
| [in,out] | solver_par | magma_s_solver_par* solver parameters |
| [in] | queue | magma_queue_t Queue to execute in. |
| magma_int_t magma_sjacobisetup | ( | magma_s_matrix | A, |
| magma_s_matrix | b, | ||
| magma_s_matrix * | M, | ||
| magma_s_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_s_matrix input matrix A |
| [in] | b | magma_s_matrix RHS b |
| [in] | M | magma_s_matrix* M = D^(-1) * (L+U) |
| [in] | c | magma_s_matrix* c = D^(-1) * b |
| [in] | queue | magma_queue_t Queue to execute in. |
| magma_int_t magma_sjacobisetup_diagscal | ( | magma_s_matrix | A, |
| magma_s_matrix * | d, | ||
| magma_queue_t | queue | ||
| ) |
It returns a vector d containing the inverse diagonal elements.
| [in] | A | magma_s_matrix input matrix A |
| [in,out] | d | magma_s_matrix* vector with diagonal elements |
| [in] | queue | magma_queue_t Queue to execute in. |
| magma_int_t magma_sjacobisetup_matrix | ( | magma_s_matrix | A, |
| magma_s_matrix * | M, | ||
| magma_s_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_s_matrix input matrix A |
| [in] | M | magma_s_matrix* M = D^(-1) * (L+U) |
| [in,out] | d | magma_s_matrix* vector with diagonal elements of A |
| [in] | queue | magma_queue_t Queue to execute in. |
| magma_int_t magma_sjacobisetup_vector | ( | magma_s_matrix | b, |
| magma_s_matrix | d, | ||
| magma_s_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_s_matrix RHS b |
| [in] | d | magma_s_matrix vector with diagonal entries |
| [in] | c | magma_s_matrix* c = D^(-1) * b |
| [in] | queue | magma_queue_t Queue to execute in. |