PaStiX Handbook
6.4.0
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#include "pastix_lowrank.h"
Go to the source code of this file.
Data Structures | |
struct | core_dlrmm_s |
Structure to store all the parameters of the core_dlrmm family functions. More... | |
Typedefs | |
PastixDouble main template to convert a full rank matrix to low-rank | |
typedef int(* | core_drrqr_cp_t) (double tol, pastix_int_t maxrank, int refine, pastix_int_t nb, pastix_int_t m, pastix_int_t n, double *A, pastix_int_t lda, pastix_int_t *jpvt, double *tau, double *work, pastix_int_t lwork, double *rwork) |
TODO. | |
typedef int(* | core_drrqr_rt_t) (double tol, pastix_int_t maxrank, pastix_int_t nb, pastix_int_t m, pastix_int_t n, double *A, pastix_int_t lda, double *tau, double *B, pastix_int_t ldb, double *tau_b, double *work, pastix_int_t lwork, double normA) |
TODO. | |
Functions | |
pastix_fixdbl_t | core_dlrmm (core_dlrmm_t *params) |
Compute the matrix matrix product when involved matrices are stored in a low-rank structure. More... | |
PastixDouble low-rank kernels | |
void | core_dlralloc (pastix_int_t M, pastix_int_t N, pastix_int_t rkmax, pastix_lrblock_t *A) |
Allocate a low-rank matrix. More... | |
void | core_dlrfree (pastix_lrblock_t *A) |
Free a low-rank matrix. More... | |
int | core_dlrsze (int copy, pastix_int_t M, pastix_int_t N, pastix_lrblock_t *A, pastix_int_t newrk, pastix_int_t newrkmax, pastix_int_t rklimit) |
Resize a low-rank matrix. More... | |
int | core_dlr2ge (pastix_trans_t trans, pastix_int_t M, pastix_int_t N, const pastix_lrblock_t *Alr, double *A, pastix_int_t lda) |
Convert a low rank matrix into a dense matrix. More... | |
void | core_dlrcpy (const pastix_lr_t *lowrank, pastix_trans_t transA, double alpha, pastix_int_t M1, pastix_int_t N1, const pastix_lrblock_t *A, pastix_int_t M2, pastix_int_t N2, pastix_lrblock_t *B, pastix_int_t offx, pastix_int_t offy) |
Copy a small low-rank structure into a large one. More... | |
void | core_dlrconcatenate_u (double alpha, pastix_int_t M1, pastix_int_t N1, const pastix_lrblock_t *A, pastix_int_t M2, pastix_lrblock_t *B, pastix_int_t offx, double *u1u2) |
Concatenate left parts of two low-rank matrices. More... | |
void | core_dlrconcatenate_v (pastix_trans_t transA1, double alpha, pastix_int_t M1, pastix_int_t N1, const pastix_lrblock_t *A, pastix_int_t N2, pastix_lrblock_t *B, pastix_int_t offy, double *v1v2) |
Concatenate right parts of two low-rank matrices. More... | |
double | core_dlrnrm (pastix_normtype_t ntype, int transV, pastix_int_t M, pastix_int_t N, const pastix_lrblock_t *A) |
Compute the norm of a low-rank matrix. More... | |
size_t | core_dlrgetsize (pastix_int_t M, pastix_int_t N, pastix_lrblock_t *A) |
Compute the size of a block to send in LR. More... | |
char * | core_dlrpack (pastix_int_t M, pastix_int_t N, const pastix_lrblock_t *A, char *buffer) |
Pack low-rank data by side. More... | |
char * | core_dlrunpack (pastix_int_t M, pastix_int_t N, pastix_lrblock_t *A, char *buffer) |
Unpack low rank data and fill the cblk concerned by the computation. More... | |
const char * | core_dlrunpack2 (pastix_int_t M, pastix_int_t N, pastix_lrblock_t *A, const char *input, char **outptr) |
Unpack low rank data and fill the cblk concerned by the computation. More... | |
update_fr Functions to perform the update on a full-rank matrix | |
pastix_fixdbl_t | core_dfrfr2fr (core_dlrmm_t *params) |
Perform the full-rank operation C = alpha * op(A) * op(B) + beta C. More... | |
pastix_fixdbl_t | core_dfrlr2fr (core_dlrmm_t *params) |
Perform the operation C = alpha * op(A) * op(B) + beta C, with A and C full-rank and B low-rank. More... | |
pastix_fixdbl_t | core_dlrfr2fr (core_dlrmm_t *params) |
Perform the operation C = alpha * op(A) * op(B) + beta C, with B and C full-rank and A low-rank. More... | |
pastix_fixdbl_t | core_dlrlr2fr (core_dlrmm_t *params) |
Perform the operation C = alpha * op(A) * op(B) + beta C, with A and B low-rank and C full-rank. More... | |
update_lr Functions to prepare the AB product for an update on a low-rank matrix | |
pastix_fixdbl_t | core_dfrfr2lr (core_dlrmm_t *params, pastix_lrblock_t *AB, int *infomask, pastix_int_t Kmax) |
Perform the operation AB = op(A) * op(B), with A and B full-rank and AB low-rank. More... | |
pastix_fixdbl_t | core_dfrlr2lr (core_dlrmm_t *params, pastix_lrblock_t *AB, int *infomask, pastix_int_t Brkmin) |
Perform the operation AB = op(A) * op(B), with A full-rank and B and AB low-rank. More... | |
pastix_fixdbl_t | core_dlrfr2lr (core_dlrmm_t *params, pastix_lrblock_t *AB, int *infomask, pastix_int_t Arkmin) |
Perform the operation AB = op(A) * op(B), with B full-rank and A and AB low-rank. More... | |
pastix_fixdbl_t | core_dlrlr2lr (core_dlrmm_t *params, pastix_lrblock_t *AB, int *infomask) |
Perform the operation AB = op(A) * op(B), with A, B, and AB low-rank. More... | |
add_lr Functions to add the AB contribution in a low-rank format to any C matrix | |
pastix_fixdbl_t | core_dlradd (core_dlrmm_t *params, const pastix_lrblock_t *AB, pastix_trans_t transV, int infomask) |
Perform the addition of two low-rank matrices. More... | |
PastixDouble SVD low-rank kernels | |
pastix_fixdbl_t | core_dge2lr_svd (int use_reltol, pastix_fixdbl_t tol, pastix_int_t rklimit, pastix_int_t m, pastix_int_t n, const void *Avoid, pastix_int_t lda, pastix_lrblock_t *Alr) |
Convert a full rank matrix in a low rank matrix, using SVD. More... | |
pastix_fixdbl_t | core_drradd_svd (const pastix_lr_t *lowrank, pastix_trans_t transA1, const void *alphaptr, pastix_int_t M1, pastix_int_t N1, const pastix_lrblock_t *A, pastix_int_t M2, pastix_int_t N2, pastix_lrblock_t *B, pastix_int_t offx, pastix_int_t offy) |
Add two LR structures A=(-u1) v1^T and B=u2 v2^T into u2 v2^T. More... | |
PastixDouble Rank Revealing QR kernels for low-rank | |
pastix_fixdbl_t | core_dge2lr_pqrcp (int use_reltol, pastix_fixdbl_t tol, pastix_int_t rklimit, pastix_int_t m, pastix_int_t n, const void *Avoid, pastix_int_t lda, pastix_lrblock_t *Alr) |
Convert a full rank matrix in a low rank matrix, using PQRCP. More... | |
pastix_fixdbl_t | core_drradd_pqrcp (const pastix_lr_t *lowrank, pastix_trans_t transA1, const void *alphaptr, pastix_int_t M1, pastix_int_t N1, const pastix_lrblock_t *A, pastix_int_t M2, pastix_int_t N2, pastix_lrblock_t *B, pastix_int_t offx, pastix_int_t offy) |
Add two LR structures A=(-u1) v1^T and B=u2 v2^T into u2 v2^T. More... | |
pastix_fixdbl_t | core_dge2lr_rqrcp (int use_reltol, pastix_fixdbl_t tol, pastix_int_t rklimit, pastix_int_t m, pastix_int_t n, const void *Avoid, pastix_int_t lda, pastix_lrblock_t *Alr) |
Convert a full rank matrix in a low rank matrix, using RQRCP. More... | |
pastix_fixdbl_t | core_drradd_rqrcp (const pastix_lr_t *lowrank, pastix_trans_t transA1, const void *alphaptr, pastix_int_t M1, pastix_int_t N1, const pastix_lrblock_t *A, pastix_int_t M2, pastix_int_t N2, pastix_lrblock_t *B, pastix_int_t offx, pastix_int_t offy) |
Add two LR structures A=(-u1) v1^T and B=u2 v2^T into u2 v2^T. More... | |
pastix_fixdbl_t | core_dge2lr_tqrcp (int use_reltol, pastix_fixdbl_t tol, pastix_int_t rklimit, pastix_int_t m, pastix_int_t n, const void *Avoid, pastix_int_t lda, pastix_lrblock_t *Alr) |
Convert a full rank matrix in a low rank matrix, using TQRCP. More... | |
pastix_fixdbl_t | core_drradd_tqrcp (const pastix_lr_t *lowrank, pastix_trans_t transA1, const void *alphaptr, pastix_int_t M1, pastix_int_t N1, const pastix_lrblock_t *A, pastix_int_t M2, pastix_int_t N2, pastix_lrblock_t *B, pastix_int_t offx, pastix_int_t offy) |
Add two LR structures A=(-u1) v1^T and B=u2 v2^T into u2 v2^T. More... | |
pastix_fixdbl_t | core_dge2lr_rqrrt (int use_reltol, pastix_fixdbl_t tol, pastix_int_t rklimit, pastix_int_t m, pastix_int_t n, const void *Avoid, pastix_int_t lda, pastix_lrblock_t *Alr) |
Convert a full rank matrix in a low rank matrix, using RQRRT. More... | |
pastix_fixdbl_t | core_dge2lr_qrcp (core_drrqr_cp_t rrqrfct, int use_reltol, pastix_fixdbl_t tol, pastix_int_t rklimit, pastix_int_t m, pastix_int_t n, const void *Avoid, pastix_int_t lda, pastix_lrblock_t *Alr) |
Template to convert a full rank matrix into a low rank matrix through QR decompositions. More... | |
pastix_fixdbl_t | core_dge2lr_qrrt (core_drrqr_rt_t rrqrfct, int use_reltol, pastix_fixdbl_t tol, pastix_int_t rklimit, pastix_int_t m, pastix_int_t n, const void *Avoid, pastix_int_t lda, pastix_lrblock_t *Alr) |
Template to convert a full rank matrix into a low rank matrix through QR decompositions. More... | |
pastix_fixdbl_t | core_drradd_qr (core_drrqr_cp_t rrqrfct, const pastix_lr_t *lowrank, pastix_trans_t transA1, const void *alphaptr, pastix_int_t M1, pastix_int_t N1, const pastix_lrblock_t *A, pastix_int_t M2, pastix_int_t N2, pastix_lrblock_t *B, pastix_int_t offx, pastix_int_t offy) |
Template to perform the addition of two low-rank structures with compression kernel based on QR decomposition. More... | |
PastixDouble low-rank debug functions | |
void | core_dlrdbg_printsvd (pastix_int_t M, pastix_int_t N, const double *A, pastix_int_t lda) |
Print the svd values of the given matrix. More... | |
int | core_dlrdbg_check_orthogonality (pastix_int_t M, pastix_int_t N, const double *A, pastix_int_t lda) |
Check the orthogonality of the matrix A. More... | |
int | core_dlrdbg_check_orthogonality_AB (pastix_int_t M, pastix_int_t NA, pastix_int_t NB, const double *A, pastix_int_t lda, const double *B, pastix_int_t ldb) |
Check the orthogonality of the matrix A relatively to the matrix B. More... | |
PastixDouble LRMM low-rank kernels | |
#define | PASTE_CORE_DLRMM_PARAMS(_a_) |
Initialize all the parameters of the core_dlrmm family functions to ease the access. More... | |
#define | PASTE_CORE_DLRMM_VOID |
Void all the parameters of the core_dlrmm family functions to silent warnings. More... | |
typedef struct core_dlrmm_s | core_dlrmm_t |
Structure to store all the parameters of the core_dlrmm family functions. | |
static double * | core_dlrmm_getws (core_dlrmm_t *params, ssize_t newsize) |
Function to get a workspace pointer if space is available in the one provided. More... | |
PaStiX kernel header.
Definition in file pastix_dlrcores.h.