PLASMA: PLASMA_sgels

PLASMA 2.4.6

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PLASMA_sgebrd
PLASMA_sgelqf
PLASMA_sgelqs
PLASMA_sgels
PLASMA_sgemm
PLASMA_sgeqrf
PLASMA_sgeqrs
PLASMA_sgesv
PLASMA_sgesv_incpiv
PLASMA_sgesvd
PLASMA_sgetrf
PLASMA_sgetrf_incpiv
PLASMA_sgetri
PLASMA_sgetrs
PLASMA_sgetrs_incpiv
PLASMA_slacpy
PLASMA_slange
PLASMA_slansy
PLASMA_sLapack_to_Tile
PLASMA_slaset
PLASMA_slaswp
PLASMA_slaswpc
PLASMA_slauum
PLASMA_sorglq
PLASMA_sorgqr
PLASMA_sormlq
PLASMA_sormqr
PLASMA_splgsy
PLASMA_splrnt
PLASMA_sposv
PLASMA_spotrf
PLASMA_spotri
PLASMA_spotrs
PLASMA_ssyev
PLASMA_ssyevd
PLASMA_ssygst
PLASMA_ssygv
PLASMA_ssygvd
PLASMA_ssymm
PLASMA_ssyr2k
PLASMA_ssyrk
PLASMA_ssytrd
PLASMA_sTile_to_Lapack
PLASMA_strmm
PLASMA_strsm
PLASMA_strsmpl
PLASMA_strsmrv
PLASMA_strtri
int PLASMA_sgels | ( | PLASMA_enum | trans,
|  | int | M,
|  | int | N,
|  | int | NRHS,
|  | float * | A,
|  | int | LDA,
|  | PLASMA_desc * | descT,
|  | float * | B,
|  | int | LDB
| ) |  |
  PLASMA_sgels - 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; = PlasmaTrans: the linear system involves A**T. 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_sgeqrf; if M < N, A is overwritten by details of its LQ factorization as returned by PLASMA_sgelqf.
  [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_sgels_Tile PLASMA_sgels_Tile_Async PLASMA_cgels PLASMA_dgels PLASMA_sgels