MAGMA  2.3.0
Matrix Algebra for GPU and Multicore Architectures
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Functions

magma_int_t magma_zbajac_csr (magma_int_t localiters, magma_z_matrix D, magma_z_matrix R, magma_z_matrix b, magma_z_matrix *x, magma_queue_t queue)
 This routine is a block-asynchronous Jacobi iteration performing s local Jacobi-updates within the block. More...
 
magma_int_t magma_zbajac_csr_overlap (magma_int_t localiters, magma_int_t matrices, magma_int_t overlap, magma_z_matrix *D, magma_z_matrix *R, magma_z_matrix b, magma_z_matrix *x, magma_queue_t queue)
 This routine is a block-asynchronous Jacobi iteration with directed restricted additive Schwarz overlap (top-down) performing s local Jacobi-updates within the block. More...
 
magma_int_t magma_zbcsrblockinfo5 (magma_int_t lustep, magma_int_t num_blocks, magma_int_t c_blocks, magma_int_t size_b, magma_index_t *blockinfo, magmaDoubleComplex_ptr val, magmaDoubleComplex_ptr *AII, magma_queue_t queue)
 For a Block-CSR ILU factorization, this routine copies the filled blocks from the original matrix A and initializes the blocks that will later be filled in the factorization process with zeros. More...
 
magma_int_t magma_zbcsrvalcpy (magma_int_t size_b, magma_int_t num_blocks, magma_int_t num_zblocks, magmaDoubleComplex_ptr *Aval, magmaDoubleComplex_ptr *Bval, magmaDoubleComplex_ptr *Bval2, magma_queue_t queue)
 For a Block-CSR ILU factorization, this routine copies the filled blocks from the original matrix A and initializes the blocks that will later be filled in the factorization process with zeros. More...
 
magma_int_t magma_zbcsrluegemm (magma_int_t size_b, magma_int_t num_brows, magma_int_t kblocks, magmaDoubleComplex_ptr *dA, magmaDoubleComplex_ptr *dB, magmaDoubleComplex_ptr *dC, magma_queue_t queue)
 For a Block-CSR ILU factorization, this routine updates all blocks in the trailing matrix. More...
 
magma_int_t magma_zbcsrlupivloc (magma_int_t size_b, magma_int_t kblocks, magmaDoubleComplex_ptr *dA, magmaInt_ptr ipiv, magma_queue_t queue)
 For a Block-CSR ILU factorization, this routine updates all blocks in the trailing matrix. More...
 
magma_int_t magma_zbcsrswp (magma_int_t r_blocks, magma_int_t size_b, magmaInt_ptr ipiv, magmaDoubleComplex_ptr x, magma_queue_t queue)
 For a Block-CSR ILU factorization, this routine swaps rows in the vector *x according to the pivoting in *ipiv. More...
 
magma_int_t magma_zbcsrtrsv (magma_uplo_t uplo, magma_int_t r_blocks, magma_int_t c_blocks, magma_int_t size_b, magmaDoubleComplex_ptr A, magma_index_t *blockinfo, magmaDoubleComplex_ptr x, magma_queue_t queue)
 For a Block-CSR ILU factorization, this routine performs the triangular solves. More...
 
magma_int_t magma_zcompact (magma_int_t m, magma_int_t n, magmaDoubleComplex_ptr dA, magma_int_t ldda, magmaDouble_ptr dnorms, double tol, magmaInt_ptr active, magmaInt_ptr cBlock, magma_queue_t queue)
 ZCOMPACT takes a set of n vectors of size m (in dA) and their norms and compacts them into the cBlock size<=n vectors that have norms > tol. More...
 
magma_int_t magma_zmprepare_batched_gpu (magma_uplo_t uplotype, magma_trans_t transtype, magma_diag_t diagtype, magma_z_matrix L, magma_z_matrix LC, magma_index_t *sizes, magma_index_t *locations, magmaDoubleComplex *trisystems, magmaDoubleComplex *rhs, magma_queue_t queue)
 This routine prepares the batch of small triangular systems that need to be solved for computing the ISAI preconditioner. More...
 
magma_int_t magma_zjacobisetup_vector_gpu (magma_int_t num_rows, magma_z_matrix b, magma_z_matrix d, magma_z_matrix c, magma_z_matrix *x, 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_zlobpcg_maxpy (magma_int_t num_rows, magma_int_t num_vecs, magmaDoubleComplex_ptr X, magmaDoubleComplex_ptr Y, magma_queue_t queue)
 This routine computes a axpy for a mxn matrix: More...
 
magma_int_t magma_zbicgstab_1 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex beta, magmaDoubleComplex omega, magmaDoubleComplex_ptr r, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr p, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zbicgstab_2 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex alpha, magmaDoubleComplex_ptr r, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr s, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zbicgstab_3 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex alpha, magmaDoubleComplex omega, magmaDoubleComplex_ptr p, magmaDoubleComplex_ptr s, magmaDoubleComplex_ptr t, magmaDoubleComplex_ptr x, magmaDoubleComplex_ptr r, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zbicgstab_4 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex alpha, magmaDoubleComplex omega, magmaDoubleComplex_ptr y, magmaDoubleComplex_ptr z, magmaDoubleComplex_ptr s, magmaDoubleComplex_ptr t, magmaDoubleComplex_ptr x, magmaDoubleComplex_ptr r, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zbicgmerge_spmv1 (magma_z_matrix A, magmaDoubleComplex_ptr d1, magmaDoubleComplex_ptr d2, magmaDoubleComplex_ptr dp, magmaDoubleComplex_ptr dr, magmaDoubleComplex_ptr dv, magmaDoubleComplex_ptr skp, magma_queue_t queue)
 Merges the first SpmV using CSR with the dot product and the computation of alpha. More...
 
magma_int_t magma_zbicgmerge_spmv2 (magma_z_matrix A, magmaDoubleComplex_ptr d1, magmaDoubleComplex_ptr d2, magmaDoubleComplex_ptr ds, magmaDoubleComplex_ptr dt, magmaDoubleComplex_ptr skp, magma_queue_t queue)
 Merges the second SpmV using CSR with the dot product and the computation of omega. More...
 
magma_int_t magma_zbicgmerge_xrbeta (magma_int_t n, magmaDoubleComplex_ptr d1, magmaDoubleComplex_ptr d2, magmaDoubleComplex_ptr rr, magmaDoubleComplex_ptr r, magmaDoubleComplex_ptr p, magmaDoubleComplex_ptr s, magmaDoubleComplex_ptr t, magmaDoubleComplex_ptr x, magmaDoubleComplex_ptr skp, magma_queue_t queue)
 Merges the second SpmV using CSR with the dot product and the computation of omega. More...
 
magma_int_t magma_zbicgmerge1 (magma_int_t n, magmaDoubleComplex_ptr skp, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr r, magmaDoubleComplex_ptr p, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zbicgmerge2 (magma_int_t n, magmaDoubleComplex_ptr skp, magmaDoubleComplex_ptr r, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr s, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zbicgmerge3 (magma_int_t n, magmaDoubleComplex_ptr skp, magmaDoubleComplex_ptr p, magmaDoubleComplex_ptr s, magmaDoubleComplex_ptr t, magmaDoubleComplex_ptr x, magmaDoubleComplex_ptr r, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zbicgmerge4 (magma_int_t type, magmaDoubleComplex_ptr skp, magma_queue_t queue)
 Performs some parameter operations for the BiCGSTAB with scalars on GPU. More...
 
magma_int_t magma_zmergeblockkrylov (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex_ptr alpha, magmaDoubleComplex_ptr p, magmaDoubleComplex_ptr x, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zcgmerge_spmv1 (magma_z_matrix A, magmaDoubleComplex_ptr d1, magmaDoubleComplex_ptr d2, magmaDoubleComplex_ptr dd, magmaDoubleComplex_ptr dz, magmaDoubleComplex_ptr skp, magma_queue_t queue)
 Merges the first SpmV using different formats with the dot product and the computation of rho. More...
 
magma_int_t magma_zcgs_1 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex beta, magmaDoubleComplex_ptr r, magmaDoubleComplex_ptr q, magmaDoubleComplex_ptr u, magmaDoubleComplex_ptr p, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zcgs_2 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex_ptr r, magmaDoubleComplex_ptr u, magmaDoubleComplex_ptr p, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zcgs_3 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex alpha, magmaDoubleComplex_ptr v_hat, magmaDoubleComplex_ptr u, magmaDoubleComplex_ptr q, magmaDoubleComplex_ptr t, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zcgs_4 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex alpha, magmaDoubleComplex_ptr u_hat, magmaDoubleComplex_ptr t, magmaDoubleComplex_ptr x, magmaDoubleComplex_ptr r, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zidr_smoothing_1 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex_ptr drs, magmaDoubleComplex_ptr dr, magmaDoubleComplex_ptr dt, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zidr_smoothing_2 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex omega, magmaDoubleComplex_ptr dx, magmaDoubleComplex_ptr dxs, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zqmr_1 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex rho, magmaDoubleComplex psi, magmaDoubleComplex_ptr y, magmaDoubleComplex_ptr z, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr w, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zqmr_2 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex pde, magmaDoubleComplex rde, magmaDoubleComplex_ptr y, magmaDoubleComplex_ptr z, magmaDoubleComplex_ptr p, magmaDoubleComplex_ptr q, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zqmr_3 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex beta, magmaDoubleComplex_ptr pt, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr y, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zqmr_4 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex eta, magmaDoubleComplex_ptr p, magmaDoubleComplex_ptr pt, magmaDoubleComplex_ptr d, magmaDoubleComplex_ptr s, magmaDoubleComplex_ptr x, magmaDoubleComplex_ptr r, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zqmr_5 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex eta, magmaDoubleComplex pds, magmaDoubleComplex_ptr p, magmaDoubleComplex_ptr pt, magmaDoubleComplex_ptr d, magmaDoubleComplex_ptr s, magmaDoubleComplex_ptr x, magmaDoubleComplex_ptr r, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zqmr_6 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex beta, magmaDoubleComplex rho, magmaDoubleComplex psi, magmaDoubleComplex_ptr y, magmaDoubleComplex_ptr z, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr w, magmaDoubleComplex_ptr wt, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zqmr_7 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex beta, magmaDoubleComplex_ptr pt, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr vt, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zqmr_8 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex rho, magmaDoubleComplex psi, magmaDoubleComplex_ptr vt, magmaDoubleComplex_ptr wt, magmaDoubleComplex_ptr y, magmaDoubleComplex_ptr z, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr w, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_ztfqmr_1 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex alpha, magmaDoubleComplex sigma, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr Au, magmaDoubleComplex_ptr u_m, magmaDoubleComplex_ptr pu_m, magmaDoubleComplex_ptr u_mp1, magmaDoubleComplex_ptr w, magmaDoubleComplex_ptr d, magmaDoubleComplex_ptr Ad, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_ztfqmr_2 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex eta, magmaDoubleComplex_ptr d, magmaDoubleComplex_ptr Ad, magmaDoubleComplex_ptr x, magmaDoubleComplex_ptr r, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_ztfqmr_3 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex beta, magmaDoubleComplex_ptr w, magmaDoubleComplex_ptr u_m, magmaDoubleComplex_ptr u_mp1, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_ztfqmr_4 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex beta, magmaDoubleComplex_ptr Au_new, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr Au, magma_queue_t queue)
 Merges multiple operations into one kernel: More...
 
magma_int_t magma_ztfqmr_5 (magma_int_t num_rows, magma_int_t num_cols, magmaDoubleComplex alpha, magmaDoubleComplex sigma, magmaDoubleComplex_ptr v, magmaDoubleComplex_ptr Au, magmaDoubleComplex_ptr u_mp1, magmaDoubleComplex_ptr w, magmaDoubleComplex_ptr d, magmaDoubleComplex_ptr Ad, magma_queue_t queue)
 Mergels multiple operations into one kernel: More...
 
magma_int_t magma_zparic_csr (magma_z_matrix A, magma_z_matrix A_CSR, magma_queue_t queue)
 This routine iteratively computes an incomplete Cholesky factorization. More...
 
magma_int_t magma_zparilu_csr (magma_z_matrix A, magma_z_matrix L, magma_z_matrix U, magma_queue_t queue)
 This routine iteratively computes an incomplete LU factorization. More...
 

Detailed Description

Function Documentation

magma_int_t magma_zbajac_csr ( magma_int_t  localiters,
magma_z_matrix  D,
magma_z_matrix  R,
magma_z_matrix  b,
magma_z_matrix *  x,
magma_queue_t  queue 
)

This routine is a block-asynchronous Jacobi iteration performing s local Jacobi-updates within the block.

Input format is two CSR matrices, one containing the diagonal blocks, one containing the rest.

Parameters
[in]localitersmagma_int_t number of local Jacobi-like updates
[in]Dmagma_z_matrix input matrix with diagonal blocks
[in]Rmagma_z_matrix input matrix with non-diagonal parts
[in]bmagma_z_matrix RHS
[in]xmagma_z_matrix* iterate/solution
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbajac_csr_overlap ( magma_int_t  localiters,
magma_int_t  matrices,
magma_int_t  overlap,
magma_z_matrix *  D,
magma_z_matrix *  R,
magma_z_matrix  b,
magma_z_matrix *  x,
magma_queue_t  queue 
)

This routine is a block-asynchronous Jacobi iteration with directed restricted additive Schwarz overlap (top-down) performing s local Jacobi-updates within the block.

Input format is two CSR matrices, one containing the diagonal blocks, one containing the rest.

Parameters
[in]localitersmagma_int_t number of local Jacobi-like updates
[in]matricesmagma_int_t number of sub-matrices
[in]overlapmagma_int_t size of the overlap
[in]Dmagma_z_matrix* set of matrices with diagonal blocks
[in]Rmagma_z_matrix* set of matrices with non-diagonal parts
[in]bmagma_z_matrix RHS
[in]xmagma_z_matrix* iterate/solution
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbcsrblockinfo5 ( magma_int_t  lustep,
magma_int_t  num_blocks,
magma_int_t  c_blocks,
magma_int_t  size_b,
magma_index_t *  blockinfo,
magmaDoubleComplex_ptr  val,
magmaDoubleComplex_ptr *  AII,
magma_queue_t  queue 
)

For a Block-CSR ILU factorization, this routine copies the filled blocks from the original matrix A and initializes the blocks that will later be filled in the factorization process with zeros.

Parameters
[in]lustepmagma_int_t lustep
[in]num_blocksmagma_int_t number of nonzero blocks
[in]c_blocksmagma_int_t number of column-blocks
[in]size_bmagma_int_t blocksize
[in]blockinfomagma_int_t* block filled? location?
[in]valmagmaDoubleComplex* pointers to the nonzero blocks in A
[in]AIImagmaDoubleComplex** pointers to the respective nonzero blocks in B
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbcsrvalcpy ( magma_int_t  size_b,
magma_int_t  num_blocks,
magma_int_t  num_zblocks,
magmaDoubleComplex_ptr *  Aval,
magmaDoubleComplex_ptr *  Bval,
magmaDoubleComplex_ptr *  Bval2,
magma_queue_t  queue 
)

For a Block-CSR ILU factorization, this routine copies the filled blocks from the original matrix A and initializes the blocks that will later be filled in the factorization process with zeros.

Parameters
[in]size_bmagma_int_t blocksize in BCSR
[in]num_blocksmagma_int_t number of nonzero blocks
[in]num_zblocksmagma_int_t number of zero-blocks (will later be filled)
[in]AvalmagmaDoubleComplex_ptr * pointers to the nonzero blocks in A
[in]BvalmagmaDoubleComplex_ptr * pointers to the nonzero blocks in B
[in]Bval2magmaDoubleComplex_ptr * pointers to the zero blocks in B
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbcsrluegemm ( magma_int_t  size_b,
magma_int_t  num_brows,
magma_int_t  kblocks,
magmaDoubleComplex_ptr *  dA,
magmaDoubleComplex_ptr *  dB,
magmaDoubleComplex_ptr *  dC,
magma_queue_t  queue 
)

For a Block-CSR ILU factorization, this routine updates all blocks in the trailing matrix.

Parameters
[in]size_bmagma_int_t blocksize in BCSR
[in]num_browsmagma_int_t number of block rows
[in]kblocksmagma_int_t number of blocks in row
[in]dAmagmaDoubleComplex** input blocks of matrix A
[in]dBmagmaDoubleComplex** input blocks of matrix B
[in]dCmagmaDoubleComplex** output blocks of matrix C
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbcsrlupivloc ( magma_int_t  size_b,
magma_int_t  kblocks,
magmaDoubleComplex_ptr *  dA,
magmaInt_ptr  ipiv,
magma_queue_t  queue 
)

For a Block-CSR ILU factorization, this routine updates all blocks in the trailing matrix.

Parameters
[in]size_bmagma_int_t blocksize in BCSR
[in]kblocksmagma_int_t number of blocks
[in]dAmagmaDoubleComplex_ptr * matrix in BCSR
[in]ipivmagmaInt_ptr array containing pivots
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbcsrswp ( magma_int_t  r_blocks,
magma_int_t  size_b,
magmaInt_ptr  ipiv,
magmaDoubleComplex_ptr  x,
magma_queue_t  queue 
)

For a Block-CSR ILU factorization, this routine swaps rows in the vector *x according to the pivoting in *ipiv.

Parameters
[in]r_blocksmagma_int_t number of blocks
[in]size_bmagma_int_t blocksize in BCSR
[in]ipivmagma_int_t* array containing pivots
[in]xmagmaDoubleComplex_ptr input/output vector x
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbcsrtrsv ( magma_uplo_t  uplo,
magma_int_t  r_blocks,
magma_int_t  c_blocks,
magma_int_t  size_b,
magmaDoubleComplex_ptr  A,
magma_index_t *  blockinfo,
magmaDoubleComplex_ptr  x,
magma_queue_t  queue 
)

For a Block-CSR ILU factorization, this routine performs the triangular solves.

Parameters
[in]uplomagma_uplo_t upper/lower fill structure
[in]r_blocksmagma_int_t number of blocks in row
[in]c_blocksmagma_int_t number of blocks in column
[in]size_bmagma_int_t blocksize in BCSR
[in]AmagmaDoubleComplex_ptr upper/lower factor
[in]blockinfomagma_int_t* array containing matrix information
[in]xmagmaDoubleComplex_ptr input/output vector x
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zcompact ( magma_int_t  m,
magma_int_t  n,
magmaDoubleComplex_ptr  dA,
magma_int_t  ldda,
magmaDouble_ptr  dnorms,
double  tol,
magmaInt_ptr  active,
magmaInt_ptr  cBlock,
magma_queue_t  queue 
)

ZCOMPACT takes a set of n vectors of size m (in dA) and their norms and compacts them into the cBlock size<=n vectors that have norms > tol.

The active mask array has 1 or 0, showing if a vector remained or not in the compacted resulting set of vectors.

Parameters
[in]mINTEGER The number of rows of the matrix dA. M >= 0.
[in]nINTEGER The number of columns of the matrix dA. N >= 0.
[in,out]dACOMPLEX DOUBLE PRECISION array, dimension (LDDA,N) The m by n matrix dA.
[in]lddaINTEGER The leading dimension of the array dA. LDDA >= max(1,M).
[in]dnormsDOUBLE PRECISION array, dimension N The norms of the N vectors in dA
[in]tolDOUBLE PRECISON The tolerance value used in the criteria to compact or not.
[in,out]activeINTEGER array, dimension N A mask of 1s and 0s showing if a vector remains or has been removed
[in,out]cBlockmagmaInt_ptr The number of vectors that remain in dA (i.e., with norms > tol).
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zmprepare_batched_gpu ( magma_uplo_t  uplotype,
magma_trans_t  transtype,
magma_diag_t  diagtype,
magma_z_matrix  L,
magma_z_matrix  LC,
magma_index_t *  sizes,
magma_index_t *  locations,
magmaDoubleComplex *  trisystems,
magmaDoubleComplex *  rhs,
magma_queue_t  queue 
)

This routine prepares the batch of small triangular systems that need to be solved for computing the ISAI preconditioner.

Parameters
[in]uplotypemagma_uplo_t input matrix
[in]transtypemagma_trans_t input matrix
[in]diagtypemagma_diag_t input matrix
[in]Lmagma_z_matrix triangular factor for which the ISAI matrix is computed. Col-Major CSR storage.
[in]LCmagma_z_matrix sparsity pattern of the ISAI matrix. Col-Major CSR storage.
[in,out]sizesmagma_index_t* array containing the sizes of the small triangular systems
[in,out]locationsmagma_index_t* array containing the locations in the respective column of L
[in,out]trisystemsmagmaDoubleComplex* batch of generated small triangular systems. All systems are embedded in uniform memory blocks of size BLOCKSIZE x BLOCKSIZE
[in,out]rhsmagmaDoubleComplex* RHS of the small triangular systems
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zjacobisetup_vector_gpu ( magma_int_t  num_rows,
magma_z_matrix  b,
magma_z_matrix  d,
magma_z_matrix  c,
magma_z_matrix *  x,
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. It calls a GPU kernel

Parameters
[in]num_rowsmagma_int_t number of rows
[in]bmagma_z_matrix RHS b
[in]dmagma_z_matrix vector with diagonal entries
[out]cmagma_z_matrix* c = D^(-1) * b
[out]xmagma_z_matrix* iteration vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zlobpcg_maxpy ( magma_int_t  num_rows,
magma_int_t  num_vecs,
magmaDoubleComplex_ptr  X,
magmaDoubleComplex_ptr  Y,
magma_queue_t  queue 
)

This routine computes a axpy for a mxn matrix:

Y = X + Y

It replaces: magma_zaxpy(m*n, c_one, Y, 1, X, 1);

/ x1[0] x2[0] x3[0] \
| x1[1] x2[1] x3[1] |

X = | x1[2] x2[2] x3[2] | = x1[0] x1[1] x1[2] x1[3] x1[4] x2[0] x2[1] . | x1[3] x2[3] x3[3] | \ x1[4] x2[4] x3[4] /

Parameters
[in]num_rowsmagma_int_t number of rows
[in]num_vecsmagma_int_t number of vectors
[in]XmagmaDoubleComplex_ptr input vector X
[in,out]YmagmaDoubleComplex_ptr input/output vector Y
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbicgstab_1 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  beta,
magmaDoubleComplex  omega,
magmaDoubleComplex_ptr  r,
magmaDoubleComplex_ptr  v,
magmaDoubleComplex_ptr  p,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

p = r + beta * ( p - omega * v )

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]betamagmaDoubleComplex scalar
[in]omegamagmaDoubleComplex scalar
[in]rmagmaDoubleComplex_ptr vector
[in]vmagmaDoubleComplex_ptr vector
[in,out]pmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbicgstab_2 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  alpha,
magmaDoubleComplex_ptr  r,
magmaDoubleComplex_ptr  v,
magmaDoubleComplex_ptr  s,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

s = r - alpha v

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]alphamagmaDoubleComplex scalar
[in]rmagmaDoubleComplex_ptr vector
[in]vmagmaDoubleComplex_ptr vector
[in,out]smagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbicgstab_3 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  alpha,
magmaDoubleComplex  omega,
magmaDoubleComplex_ptr  p,
magmaDoubleComplex_ptr  s,
magmaDoubleComplex_ptr  t,
magmaDoubleComplex_ptr  x,
magmaDoubleComplex_ptr  r,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

x = x + alpha * p + omega * s r = s - omega * t

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]alphamagmaDoubleComplex scalar
[in]omegamagmaDoubleComplex scalar
[in]pmagmaDoubleComplex_ptr vector
[in]smagmaDoubleComplex_ptr vector
[in]tmagmaDoubleComplex_ptr vector
[in,out]xmagmaDoubleComplex_ptr vector
[in,out]rmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbicgstab_4 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  alpha,
magmaDoubleComplex  omega,
magmaDoubleComplex_ptr  y,
magmaDoubleComplex_ptr  z,
magmaDoubleComplex_ptr  s,
magmaDoubleComplex_ptr  t,
magmaDoubleComplex_ptr  x,
magmaDoubleComplex_ptr  r,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

x = x + alpha * y + omega * z r = s - omega * t

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]alphamagmaDoubleComplex scalar
[in]omegamagmaDoubleComplex scalar
[in]ymagmaDoubleComplex_ptr vector
[in]zmagmaDoubleComplex_ptr vector
[in]smagmaDoubleComplex_ptr vector
[in]tmagmaDoubleComplex_ptr vector
[in,out]xmagmaDoubleComplex_ptr vector
[in,out]rmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbicgmerge_spmv1 ( magma_z_matrix  A,
magmaDoubleComplex_ptr  d1,
magmaDoubleComplex_ptr  d2,
magmaDoubleComplex_ptr  dp,
magmaDoubleComplex_ptr  dr,
magmaDoubleComplex_ptr  dv,
magmaDoubleComplex_ptr  skp,
magma_queue_t  queue 
)

Merges the first SpmV using CSR with the dot product and the computation of alpha.

Parameters
[in]Amagma_z_matrix system matrix
[in]d1magmaDoubleComplex_ptr temporary vector
[in]d2magmaDoubleComplex_ptr temporary vector
[in]dpmagmaDoubleComplex_ptr input vector p
[in]drmagmaDoubleComplex_ptr input vector r
[in]dvmagmaDoubleComplex_ptr output vector v
[in,out]skpmagmaDoubleComplex_ptr array for parameters ( skp[0]=alpha )
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbicgmerge_spmv2 ( magma_z_matrix  A,
magmaDoubleComplex_ptr  d1,
magmaDoubleComplex_ptr  d2,
magmaDoubleComplex_ptr  ds,
magmaDoubleComplex_ptr  dt,
magmaDoubleComplex_ptr  skp,
magma_queue_t  queue 
)

Merges the second SpmV using CSR with the dot product and the computation of omega.

Parameters
[in]Amagma_z_matrix input matrix
[in]d1magmaDoubleComplex_ptr temporary vector
[in]d2magmaDoubleComplex_ptr temporary vector
[in]dsmagmaDoubleComplex_ptr input vector s
[in]dtmagmaDoubleComplex_ptr output vector t
[in,out]skpmagmaDoubleComplex_ptr array for parameters
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbicgmerge_xrbeta ( magma_int_t  n,
magmaDoubleComplex_ptr  d1,
magmaDoubleComplex_ptr  d2,
magmaDoubleComplex_ptr  rr,
magmaDoubleComplex_ptr  r,
magmaDoubleComplex_ptr  p,
magmaDoubleComplex_ptr  s,
magmaDoubleComplex_ptr  t,
magmaDoubleComplex_ptr  x,
magmaDoubleComplex_ptr  skp,
magma_queue_t  queue 
)

Merges the second SpmV using CSR with the dot product and the computation of omega.

Parameters
[in]nint dimension n
[in]d1magmaDoubleComplex_ptr temporary vector
[in]d2magmaDoubleComplex_ptr temporary vector
[in]rrmagmaDoubleComplex_ptr input vector rr
[in]rmagmaDoubleComplex_ptr input/output vector r
[in]pmagmaDoubleComplex_ptr input vector p
[in]smagmaDoubleComplex_ptr input vector s
[in]tmagmaDoubleComplex_ptr input vector t
[out]xmagmaDoubleComplex_ptr output vector x
[in]skpmagmaDoubleComplex_ptr array for parameters
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbicgmerge1 ( magma_int_t  n,
magmaDoubleComplex_ptr  skp,
magmaDoubleComplex_ptr  v,
magmaDoubleComplex_ptr  r,
magmaDoubleComplex_ptr  p,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

p = beta*p p = p-omega*beta*v p = p+r

-> p = r + beta * ( p - omega * v )

Parameters
[in]nint dimension n
[in]skpmagmaDoubleComplex_ptr set of scalar parameters
[in]vmagmaDoubleComplex_ptr input vector v
[in]rmagmaDoubleComplex_ptr input vector r
[in,out]pmagmaDoubleComplex_ptr input/output vector p
[in]queuemagma_queue_t queue to execute in.
magma_int_t magma_zbicgmerge2 ( magma_int_t  n,
magmaDoubleComplex_ptr  skp,
magmaDoubleComplex_ptr  r,
magmaDoubleComplex_ptr  v,
magmaDoubleComplex_ptr  s,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

s=r s=s-alpha*v

-> s = r - alpha * v

Parameters
[in]nint dimension n
[in]skpmagmaDoubleComplex_ptr set of scalar parameters
[in]rmagmaDoubleComplex_ptr input vector r
[in]vmagmaDoubleComplex_ptr input vector v
[out]smagmaDoubleComplex_ptr output vector s
[in]queuemagma_queue_t queue to execute in.
magma_int_t magma_zbicgmerge3 ( magma_int_t  n,
magmaDoubleComplex_ptr  skp,
magmaDoubleComplex_ptr  p,
magmaDoubleComplex_ptr  s,
magmaDoubleComplex_ptr  t,
magmaDoubleComplex_ptr  x,
magmaDoubleComplex_ptr  r,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

x=x+alpha*p x=x+omega*s r=s r=r-omega*t

-> x = x + alpha * p + omega * s -> r = s - omega * t

Parameters
[in]nint dimension n
[in]skpmagmaDoubleComplex_ptr set of scalar parameters
[in]pmagmaDoubleComplex_ptr input p
[in]smagmaDoubleComplex_ptr input s
[in]tmagmaDoubleComplex_ptr input t
[in,out]xmagmaDoubleComplex_ptr input/output x
[in,out]rmagmaDoubleComplex_ptr input/output r
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zbicgmerge4 ( magma_int_t  type,
magmaDoubleComplex_ptr  skp,
magma_queue_t  queue 
)

Performs some parameter operations for the BiCGSTAB with scalars on GPU.

Parameters
[in]typeint kernel type
[in,out]skpmagmaDoubleComplex_ptr vector with parameters
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zmergeblockkrylov ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex_ptr  alpha,
magmaDoubleComplex_ptr  p,
magmaDoubleComplex_ptr  x,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

v = y / rho y = y / rho w = wt / psi z = z / psi

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]alphamagmaDoubleComplex_ptr matrix containing all SKP
[in]pmagmaDoubleComplex_ptr search directions
[in,out]xmagmaDoubleComplex_ptr approximation vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zcgmerge_spmv1 ( magma_z_matrix  A,
magmaDoubleComplex_ptr  d1,
magmaDoubleComplex_ptr  d2,
magmaDoubleComplex_ptr  dd,
magmaDoubleComplex_ptr  dz,
magmaDoubleComplex_ptr  skp,
magma_queue_t  queue 
)

Merges the first SpmV using different formats with the dot product and the computation of rho.

Parameters
[in]Amagma_z_matrix input matrix
[in]d1magmaDoubleComplex_ptr temporary vector
[in]d2magmaDoubleComplex_ptr temporary vector
[in]ddmagmaDoubleComplex_ptr input vector d
[out]dzmagmaDoubleComplex_ptr input vector z
[out]skpmagmaDoubleComplex_ptr array for parameters ( skp[3]=rho )
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zcgs_1 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  beta,
magmaDoubleComplex_ptr  r,
magmaDoubleComplex_ptr  q,
magmaDoubleComplex_ptr  u,
magmaDoubleComplex_ptr  p,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

u = r + beta q p = u + beta*(q + beta*p)

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]betamagmaDoubleComplex scalar
[in]rmagmaDoubleComplex_ptr vector
[in]qmagmaDoubleComplex_ptr vector
[in,out]umagmaDoubleComplex_ptr vector
[in,out]pmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zcgs_2 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex_ptr  r,
magmaDoubleComplex_ptr  u,
magmaDoubleComplex_ptr  p,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

u = r p = r

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]rmagmaDoubleComplex_ptr vector
[in,out]umagmaDoubleComplex_ptr vector
[in,out]pmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zcgs_3 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  alpha,
magmaDoubleComplex_ptr  v_hat,
magmaDoubleComplex_ptr  u,
magmaDoubleComplex_ptr  q,
magmaDoubleComplex_ptr  t,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

q = u - alpha v_hat t = u + q

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]alphamagmaDoubleComplex scalar
[in]v_hatmagmaDoubleComplex_ptr vector
[in]umagmaDoubleComplex_ptr vector
[in,out]qmagmaDoubleComplex_ptr vector
[in,out]tmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zcgs_4 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  alpha,
magmaDoubleComplex_ptr  u_hat,
magmaDoubleComplex_ptr  t,
magmaDoubleComplex_ptr  x,
magmaDoubleComplex_ptr  r,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

x = x + alpha u_hat r = r -alpha*A u_hat = r -alpha*t

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]alphamagmaDoubleComplex scalar
[in]u_hatmagmaDoubleComplex_ptr vector
[in]tmagmaDoubleComplex_ptr vector
[in,out]xmagmaDoubleComplex_ptr vector
[in,out]rmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zidr_smoothing_1 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex_ptr  drs,
magmaDoubleComplex_ptr  dr,
magmaDoubleComplex_ptr  dt,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

dt = drs - dr

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]drsmagmaDoubleComplex_ptr vector
[in]drmagmaDoubleComplex_ptr vector
[in,out]dtmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zidr_smoothing_2 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  omega,
magmaDoubleComplex_ptr  dx,
magmaDoubleComplex_ptr  dxs,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

dxs = dxs - gamma*(dxs-dx)

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]omegamagmaDoubleComplex scalar
[in]dxmagmaDoubleComplex_ptr vector
[in,out]dxsmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zqmr_1 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  rho,
magmaDoubleComplex  psi,
magmaDoubleComplex_ptr  y,
magmaDoubleComplex_ptr  z,
magmaDoubleComplex_ptr  v,
magmaDoubleComplex_ptr  w,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

v = y / rho y = y / rho w = wt / psi z = z / psi

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]rhomagmaDoubleComplex scalar
[in]psimagmaDoubleComplex scalar
[in,out]ymagmaDoubleComplex_ptr vector
[in,out]zmagmaDoubleComplex_ptr vector
[in,out]vmagmaDoubleComplex_ptr vector
[in,out]wmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zqmr_2 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  pde,
magmaDoubleComplex  rde,
magmaDoubleComplex_ptr  y,
magmaDoubleComplex_ptr  z,
magmaDoubleComplex_ptr  p,
magmaDoubleComplex_ptr  q,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

p = y - pde * p q = z - rde * q

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]pdemagmaDoubleComplex scalar
[in]rdemagmaDoubleComplex scalar
[in]ymagmaDoubleComplex_ptr vector
[in]zmagmaDoubleComplex_ptr vector
[in,out]pmagmaDoubleComplex_ptr vector
[in,out]qmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zqmr_3 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  beta,
magmaDoubleComplex_ptr  pt,
magmaDoubleComplex_ptr  v,
magmaDoubleComplex_ptr  y,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

v = pt - beta * v y = v

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]betamagmaDoubleComplex scalar
[in]ptmagmaDoubleComplex_ptr vector
[in,out]vmagmaDoubleComplex_ptr vector
[in,out]ymagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zqmr_4 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  eta,
magmaDoubleComplex_ptr  p,
magmaDoubleComplex_ptr  pt,
magmaDoubleComplex_ptr  d,
magmaDoubleComplex_ptr  s,
magmaDoubleComplex_ptr  x,
magmaDoubleComplex_ptr  r,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

d = eta * p; s = eta * pt; x = x + d; r = r - s;

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]etamagmaDoubleComplex scalar
[in]pmagmaDoubleComplex_ptr vector
[in]ptmagmaDoubleComplex_ptr vector
[in,out]dmagmaDoubleComplex_ptr vector
[in,out]smagmaDoubleComplex_ptr vector
[in,out]xmagmaDoubleComplex_ptr vector
[in,out]rmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zqmr_5 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  eta,
magmaDoubleComplex  pds,
magmaDoubleComplex_ptr  p,
magmaDoubleComplex_ptr  pt,
magmaDoubleComplex_ptr  d,
magmaDoubleComplex_ptr  s,
magmaDoubleComplex_ptr  x,
magmaDoubleComplex_ptr  r,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

d = eta * p + pds * d; s = eta * pt + pds * s; x = x + d; r = r - s;

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]etamagmaDoubleComplex scalar
[in]pdsmagmaDoubleComplex scalar
[in]pmagmaDoubleComplex_ptr vector
[in]ptmagmaDoubleComplex_ptr vector
[in,out]dmagmaDoubleComplex_ptr vector
[in,out]smagmaDoubleComplex_ptr vector
[in,out]xmagmaDoubleComplex_ptr vector
[in,out]rmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zqmr_6 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  beta,
magmaDoubleComplex  rho,
magmaDoubleComplex  psi,
magmaDoubleComplex_ptr  y,
magmaDoubleComplex_ptr  z,
magmaDoubleComplex_ptr  v,
magmaDoubleComplex_ptr  w,
magmaDoubleComplex_ptr  wt,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

wt = wt - conj(beta) * w v = y / rho y = y / rho w = wt / psi z = wt / psi

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]betamagmaDoubleComplex scalar
[in]rhomagmaDoubleComplex scalar
[in]psimagmaDoubleComplex scalar
[in,out]ymagmaDoubleComplex_ptr vector
[in,out]zmagmaDoubleComplex_ptr vector
[in,out]vmagmaDoubleComplex_ptr vector
[in,out]wmagmaDoubleComplex_ptr vector
[in,out]wtmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zqmr_7 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  beta,
magmaDoubleComplex_ptr  pt,
magmaDoubleComplex_ptr  v,
magmaDoubleComplex_ptr  vt,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

vt = pt - beta * v

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]betamagmaDoubleComplex scalar
[in]ptmagmaDoubleComplex_ptr vector
[in,out]vmagmaDoubleComplex_ptr vector
[in,out]vtmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zqmr_8 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  rho,
magmaDoubleComplex  psi,
magmaDoubleComplex_ptr  vt,
magmaDoubleComplex_ptr  wt,
magmaDoubleComplex_ptr  y,
magmaDoubleComplex_ptr  z,
magmaDoubleComplex_ptr  v,
magmaDoubleComplex_ptr  w,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

v = y / rho y = y / rho w = wt / psi z = z / psi

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]rhomagmaDoubleComplex scalar
[in]psimagmaDoubleComplex scalar
[in]vtmagmaDoubleComplex_ptr vector
[in]wtmagmaDoubleComplex_ptr vector
[in,out]ymagmaDoubleComplex_ptr vector
[in,out]zmagmaDoubleComplex_ptr vector
[in,out]vmagmaDoubleComplex_ptr vector
[in,out]wmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_ztfqmr_1 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  alpha,
magmaDoubleComplex  sigma,
magmaDoubleComplex_ptr  v,
magmaDoubleComplex_ptr  Au,
magmaDoubleComplex_ptr  u_m,
magmaDoubleComplex_ptr  pu_m,
magmaDoubleComplex_ptr  u_mp1,
magmaDoubleComplex_ptr  w,
magmaDoubleComplex_ptr  d,
magmaDoubleComplex_ptr  Ad,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

u_mp1 = u_mp1 - alpha*v; w = w - alpha*Au; d = pu_m + sigma*d; Ad = Au + sigma*Ad;

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]alphamagmaDoubleComplex scalar
[in]sigmamagmaDoubleComplex scalar
[in]vmagmaDoubleComplex_ptr vector
[in]AumagmaDoubleComplex_ptr vector
[in,out]u_mmagmaDoubleComplex_ptr vector
[in,out]pu_mmagmaDoubleComplex_ptr vector
[in,out]u_mp1magmaDoubleComplex_ptr vector
[in,out]wmagmaDoubleComplex_ptr vector
[in,out]dmagmaDoubleComplex_ptr vector
[in,out]AdmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_ztfqmr_2 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  eta,
magmaDoubleComplex_ptr  d,
magmaDoubleComplex_ptr  Ad,
magmaDoubleComplex_ptr  x,
magmaDoubleComplex_ptr  r,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

x = x + eta * d r = r - eta * Ad

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]etamagmaDoubleComplex scalar
[in]dmagmaDoubleComplex_ptr vector
[in]AdmagmaDoubleComplex_ptr vector
[in,out]xmagmaDoubleComplex_ptr vector
[in,out]rmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_ztfqmr_3 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  beta,
magmaDoubleComplex_ptr  w,
magmaDoubleComplex_ptr  u_m,
magmaDoubleComplex_ptr  u_mp1,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

u_mp1 = w + beta*u_mp1

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]betamagmaDoubleComplex scalar
[in]wmagmaDoubleComplex_ptr vector
[in]u_mmagmaDoubleComplex_ptr vector
[in,out]u_mp1magmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_ztfqmr_4 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  beta,
magmaDoubleComplex_ptr  Au_new,
magmaDoubleComplex_ptr  v,
magmaDoubleComplex_ptr  Au,
magma_queue_t  queue 
)

Merges multiple operations into one kernel:

v = Au_new + beta*(Au+beta*v); Au = Au_new

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]betamagmaDoubleComplex scalar
[in]Au_newmagmaDoubleComplex_ptr vector
[in,out]vmagmaDoubleComplex_ptr vector
[in,out]AumagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_ztfqmr_5 ( magma_int_t  num_rows,
magma_int_t  num_cols,
magmaDoubleComplex  alpha,
magmaDoubleComplex  sigma,
magmaDoubleComplex_ptr  v,
magmaDoubleComplex_ptr  Au,
magmaDoubleComplex_ptr  u_mp1,
magmaDoubleComplex_ptr  w,
magmaDoubleComplex_ptr  d,
magmaDoubleComplex_ptr  Ad,
magma_queue_t  queue 
)

Mergels multiple operations into one kernel:

w = w - alpha*Au; d = pu_m + sigma*d; Ad = Au + sigma*Ad;

Parameters
[in]num_rowsmagma_int_t dimension m
[in]num_colsmagma_int_t dimension n
[in]alphamagmaDoubleComplex scalar
[in]sigmamagmaDoubleComplex scalar
[in]vmagmaDoubleComplex_ptr vector
[in]AumagmaDoubleComplex_ptr vector
[in,out]u_mp1magmaDoubleComplex_ptr vector
[in,out]wmagmaDoubleComplex_ptr vector
[in,out]dmagmaDoubleComplex_ptr vector
[in,out]AdmagmaDoubleComplex_ptr vector
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zparic_csr ( magma_z_matrix  A,
magma_z_matrix  A_CSR,
magma_queue_t  queue 
)

This routine iteratively computes an incomplete Cholesky factorization.

The idea is according to Edmond Chow's presentation at SIAM 2014. This routine was used in the ISC 2015 paper: E. Chow et al.: 'Study of an Asynchronous Iterative Algorithm for Computing Incomplete Factorizations on GPUs'

The input format of the initial guess matrix A is Magma_CSRCOO, A_CSR is CSR or CSRCOO format.

Parameters
[in]Amagma_z_matrix input matrix A - initial guess (lower triangular)
[in,out]A_CSRmagma_z_matrix input/output matrix containing the IC approximation
[in]queuemagma_queue_t Queue to execute in.
magma_int_t magma_zparilu_csr ( magma_z_matrix  A,
magma_z_matrix  L,
magma_z_matrix  U,
magma_queue_t  queue 
)

This routine iteratively computes an incomplete LU factorization.

The idea is according to Edmond Chow's presentation at SIAM 2014. This routine was used in the ISC 2015 paper: E. Chow et al.: 'Study of an Asynchronous Iterative Algorithm for Computing Incomplete Factorizations on GPUs'

The input format of the matrix is Magma_CSRCOO for the upper and lower triangular parts. Note however, that we flip col and rowidx for the U-part. Every component of L and U is handled by one thread.

Parameters
[in]Amagma_z_matrix input matrix A determing initial guess & processing order
[in,out]Lmagma_z_matrix input/output matrix L containing the ILU approximation
[in,out]Umagma_z_matrix input/output matrix U containing the ILU approximation
[in]queuemagma_queue_t Queue to execute in.