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MAGMA
2.0.0
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
| magma_int_t | magma_cjacobisetup_matrix (magma_c_matrix A, magma_c_matrix *M, magma_c_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_cjacobisetup_diagscal (magma_c_matrix A, magma_c_matrix *d, magma_queue_t queue) |
| It returns a vector d containing the inverse diagonal elements. More... | |
| magma_int_t | magma_cjacobisetup_vector (magma_c_matrix b, magma_c_matrix d, magma_c_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_cjacobisetup (magma_c_matrix A, magma_c_matrix b, magma_c_matrix *M, magma_c_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_cjacobiiter (magma_c_matrix M, magma_c_matrix c, magma_c_matrix *x, magma_c_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_cjacobiiter_precond (magma_c_matrix M, magma_c_matrix *x, magma_c_solver_par *solver_par, magma_c_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_cjacobiiter_sys (magma_c_matrix A, magma_c_matrix b, magma_c_matrix d, magma_c_matrix t, magma_c_matrix *x, magma_c_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_cjacobiiter | ( | magma_c_matrix | M, |
| magma_c_matrix | c, | ||
| magma_c_matrix * | x, | ||
| magma_c_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_c_matrix input matrix M = D^(-1) * (L+U) |
| [in] | c | magma_c_matrix c = D^(-1) * b |
| [in,out] | x | magma_c_matrix* iteration vector x |
| [in,out] | solver_par | magma_c_solver_par* solver parameters |
| [in] | queue | magma_queue_t Queue to execute in. |
| magma_int_t magma_cjacobiiter_precond | ( | magma_c_matrix | M, |
| magma_c_matrix * | x, | ||
| magma_c_solver_par * | solver_par, | ||
| magma_c_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_c_matrix input matrix M = D^(-1) * (L+U) |
| [in,out] | x | magma_c_matrix* iteration vector x |
| [in,out] | solver_par | magma_c_solver_par* solver parameters |
| [in] | precond | magma_c_precond_par* precond parameters |
| [in] | queue | magma_queue_t Queue to execute in. |
| magma_int_t magma_cjacobiiter_sys | ( | magma_c_matrix | A, |
| magma_c_matrix | b, | ||
| magma_c_matrix | d, | ||
| magma_c_matrix | t, | ||
| magma_c_matrix * | x, | ||
| magma_c_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_c_matrix input matrix M = D^(-1) * (L+U) |
| [in] | b | magma_c_matrix input RHS b |
| [in] | d | magma_c_matrix input matrix diagonal elements diag(A) |
| [in] | t | magma_c_matrix temporary vector |
| [in,out] | x | magma_c_matrix* iteration vector x |
| [in,out] | solver_par | magma_c_solver_par* solver parameters |
| [in] | queue | magma_queue_t Queue to execute in. |
| magma_int_t magma_cjacobisetup | ( | magma_c_matrix | A, |
| magma_c_matrix | b, | ||
| magma_c_matrix * | M, | ||
| magma_c_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_c_matrix input matrix A |
| [in] | b | magma_c_matrix RHS b |
| [in] | M | magma_c_matrix* M = D^(-1) * (L+U) |
| [in] | c | magma_c_matrix* c = D^(-1) * b |
| [in] | queue | magma_queue_t Queue to execute in. |
| magma_int_t magma_cjacobisetup_diagscal | ( | magma_c_matrix | A, |
| magma_c_matrix * | d, | ||
| magma_queue_t | queue | ||
| ) |
It returns a vector d containing the inverse diagonal elements.
| [in] | A | magma_c_matrix input matrix A |
| [in,out] | d | magma_c_matrix* vector with diagonal elements |
| [in] | queue | magma_queue_t Queue to execute in. |
| magma_int_t magma_cjacobisetup_matrix | ( | magma_c_matrix | A, |
| magma_c_matrix * | M, | ||
| magma_c_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_c_matrix input matrix A |
| [in] | M | magma_c_matrix* M = D^(-1) * (L+U) |
| [in,out] | d | magma_c_matrix* vector with diagonal elements of A |
| [in] | queue | magma_queue_t Queue to execute in. |
| magma_int_t magma_cjacobisetup_vector | ( | magma_c_matrix | b, |
| magma_c_matrix | d, | ||
| magma_c_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_c_matrix RHS b |
| [in] | d | magma_c_matrix vector with diagonal entries |
| [in] | c | magma_c_matrix* c = D^(-1) * b |
| [in] | queue | magma_queue_t Queue to execute in. |