PLASMA: PLASMA_zgels

PLASMA 2.4.6

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PLASMA_zcgels
PLASMA_zcgesv
PLASMA_zcposv
PLASMA_zcungesv
PLASMA_zgebrd
PLASMA_zgelqf
PLASMA_zgelqs
PLASMA_zgels
PLASMA_zgemm
PLASMA_zgeqrf
PLASMA_zgeqrs
PLASMA_zgesv
PLASMA_zgesv_incpiv
PLASMA_zgesvd
PLASMA_zgetrf
PLASMA_zgetrf_incpiv
PLASMA_zgetri
PLASMA_zgetrs
PLASMA_zgetrs_incpiv
PLASMA_zheev
PLASMA_zheevd
PLASMA_zhegst
PLASMA_zhegv
PLASMA_zhegvd
PLASMA_zhemm
PLASMA_zher2k
PLASMA_zherk
PLASMA_zhetrd
PLASMA_zlacpy
PLASMA_zlange
PLASMA_zlanhe
PLASMA_zlansy
PLASMA_zLapack_to_Tile
PLASMA_zlaset
PLASMA_zlaswp
PLASMA_zlaswpc
PLASMA_zlauum
PLASMA_zplghe
PLASMA_zplgsy
PLASMA_zplrnt
PLASMA_zposv
PLASMA_zpotrf
PLASMA_zpotri
PLASMA_zpotrs
PLASMA_zsymm
PLASMA_zsyr2k
PLASMA_zsyrk
PLASMA_zTile_to_Lapack
PLASMA_ztrmm
PLASMA_ztrsm
PLASMA_ztrsmpl
PLASMA_ztrsmrv
PLASMA_ztrtri
PLASMA_zunglq
PLASMA_zungqr
PLASMA_zunmlq
PLASMA_zunmqr
int PLASMA_zgels | ( | PLASMA_enum | trans,
|  | int | M,
|  | int | N,
|  | int | NRHS,
|  | PLASMA_Complex64_t * | A,
|  | int | LDA,
|  | PLASMA_desc * | descT,
|  | PLASMA_Complex64_t * | B,
|  | int | LDB
| ) |  |
  PLASMA_zgels - solves overdetermined or underdetermined linear systems involving an M-by-N matrix A using the QR or the LQ factorization of A. It is assumed that A has full rank. The following options are provided: # trans = PlasmaNoTrans and M >= N: find the least squares solution of an overdetermined system, i.e., solve the least squares problem: minimize || B - A*X ||. # trans = PlasmaNoTrans and M < N: find the minimum norm solution of an underdetermined system A * X = B. Several right hand side vectors B and solution vectors X can be handled in a single call; they are stored as the columns of the M-by-NRHS right hand side matrix B and the N-by-NRHS solution matrix X. Parameters
  [in] | trans | Intended usage: = PlasmaNoTrans: the linear system involves A; = PlasmaConjTrans: the linear system involves A**H. Currently only PlasmaNoTrans is supported.
  [in] | M | The number of rows of the matrix A. M >= 0.
  [in] | N | The number of columns of the matrix A. N >= 0.
  [in] | NRHS | The number of right hand sides, i.e., the number of columns of the matrices B and X. NRHS >= 0.
  [in,out] | A | On entry, the M-by-N matrix A. On exit, if M >= N, A is overwritten by details of its QR factorization as returned by PLASMA_zgeqrf; if M < N, A is overwritten by details of its LQ factorization as returned by PLASMA_zgelqf.
  [in] | LDA | The leading dimension of the array A. LDA >= max(1,M).
  [out] | descT | On exit, auxiliary factorization data.
  [in,out] | B | On entry, the M-by-NRHS matrix B of right hand side vectors, stored columnwise; On exit, if return value = 0, B is overwritten by the solution vectors, stored columnwise: if M >= N, rows 1 to N of B contain the least squares solution vectors; the residual sum of squares for the solution in each column is given by the sum of squares of the modulus of elements N+1 to M in that column; if M < N, rows 1 to N of B contain the minimum norm solution vectors;
  [in] | LDB | The leading dimension of the array B. LDB >= MAX(1,M,N).
  Returns Return values
  PLASMA_SUCCESS | successful exit
  <0 | if -i, the i-th argument had an illegal value
See Also PLASMA_zgels_Tile PLASMA_zgels_Tile_Async PLASMA_cgels PLASMA_dgels PLASMA_sgels