LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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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.