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## sgetrs()

subroutine sgetrs | ( | character | trans,
|  | integer | n,
|  | integer | nrhs,
|  | real, dimension( lda, * ) | a,
|  | integer | lda,
|  | integer, dimension( * ) | ipiv,
|  | real, dimension( ldb, * ) | b,
|  | integer | ldb,
|  | integer | info )

SGETRS

Download SGETRS + dependencies [TGZ] [ZIP] [TXT]

Purpose:

      !>
      !> SGETRS solves a system of linear equations
      !>    A * X = B  or  A**T * X = B
      !> with a general N-by-N matrix A using the LU factorization computed
      !> by SGETRF.
      !>

Parameters

  [in]

  TRANS

      !>          TRANS is CHARACTER*1
      !>          Specifies the form of the system of equations:
      !>          = 'N':  A * X = B  (No transpose)
      !>          = 'T':  A**T* X = B  (Transpose)
      !>          = 'C':  A**T* X = B  (Conjugate transpose = Transpose)
      !>

  [in]

  N

      !>          N is INTEGER
      !>          The order of the matrix A.  N >= 0.
      !>

  [in]

  NRHS

      !>          NRHS is INTEGER
      !>          The number of right hand sides, i.e., the number of columns
      !>          of the matrix B.  NRHS >= 0.
      !>

  [in]

  A

      !>          A is REAL array, dimension (LDA,N)
      !>          The factors L and U from the factorization A = P*L*U
      !>          as computed by SGETRF.
      !>

  [in]

  LDA

      !>          LDA is INTEGER
      !>          The leading dimension of the array A.  LDA >= max(1,N).
      !>

  [in]

  IPIV

      !>          IPIV is INTEGER array, dimension (N)
      !>          The pivot indices from SGETRF; for 1<=i<=N, row i of the
      !>          matrix was interchanged with row IPIV(i).
      !>

  [in,out]

  B

      !>          B is REAL array, dimension (LDB,NRHS)
      !>          On entry, the right hand side matrix B.
      !>          On exit, the solution matrix X.
      !>

  [in]

  LDB

      !>          LDB is INTEGER
      !>          The leading dimension of the array B.  LDB >= max(1,N).
      !>

  [out]

  INFO

      !>          INFO is INTEGER
      !>          = 0:  successful exit
      !>          < 0:  if INFO = -i, the i-th argument had an illegal value
      !>

Author
  Univ. of Tennessee
  Univ. of California Berkeley
  Univ. of Colorado Denver
  NAG Ltd.