zgetrs.f

来自「基于Blas CLapck的.用过的人知道是干啥的」· F 代码 · 共 129 行

      SUBROUTINE ZGETRS( TRANS, N, NRHS, A, LDA, IPIV, B, LDB, INFO )
*
*  -- LAPACK routine (version 3.0) --
*     Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
*     Courant Institute, Argonne National Lab, and Rice University
*     September 30, 1994
*
*  -- Modified by R. Clint Whaley for ATLAS Fortran77 LAPACK interface,
*     1999
*
*     .. Scalar Arguments ..
      CHARACTER TRANS
      INTEGER   INFO, LDA, LDB, N, NRHS
*     ..
*     .. Array Arguments ..
      INTEGER IPIV( * )
      COMPLEX*16 A( LDA, * ), B( LDB, * )
*     ..
*
*  Purpose
*  =======
*
*  ZGETRS solves a system of linear equations
*     A * X = B,  A**T * X = B,  or  A**H * X = B
*  with a general N-by-N matrix A using the LU factorization computed
*  by ZGETRF.
*
*  Arguments
*  =========
*
*  TRANS   (input) CHARACTER*1
*          Specifies the form of the system of equations:
*          = 'N':  A * X = B     (No transpose)
*          = 'T':  A**T * X = B  (Transpose)
*          = 'C':  A**H * X = B  (Conjugate transpose)
*
*  N       (input) INTEGER
*          The order of the matrix A.  N >= 0.
*
*  NRHS    (input) INTEGER
*          The number of right hand sides, i.e., the number of columns
*          of the matrix B.  NRHS >= 0.
*
*  A       (input) COMPLEX*16 array, dimension (LDA,N)
*          The factors L and U from the factorization A = P*L*U
*          as computed by ZGETRF.
*
*  LDA     (input) INTEGER
*          The leading dimension of the array A.  LDA >= max(1,N).
*
*  IPIV    (input) INTEGER array, dimension (N)
*          The pivot indices from ZGETRF; for 1<=i<=N, row i of the
*          matrix was interchanged with row IPIV(i).
*
*  B       (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
*          On entry, the right hand side matrix B.
*          On exit, the solution matrix X.
*
*  LDB     (input) INTEGER
*          The leading dimension of the array B.  LDB >= max(1,N).
*
*  INFO    (output) INTEGER
*          = 0:  successful exit
*          < 0:  if INFO = -i, the i-th argument had an illegal value
*
*  =====================================================================
*
*     .. Parameters ..
      INTEGER ATLASROWMAJOR, ATLASCOLMAJOR
      PARAMETER (ATLASROWMAJOR=101, ATLASCOLMAJOR=102)
      INTEGER ATLASNOTRANS, ATLASTRANS, ATLASCONJTRANS
      PARAMETER (ATLASNOTRANS=111, ATLASTRANS=112, ATLASCONJTRANS=113)
      INTEGER ATLASUPPER, ATLASLOWER
      PARAMETER (ATLASUPPER=121, ATLASLOWER=122)
      INTEGER ATLASNONUNIT, ATLASUNIT
      PARAMETER (ATLASNONUNIT=131, ATLASUNIT=132)
      INTEGER ATLASLEFT, ATLASRIGHT
      PARAMETER (ATLASLEFT=141, ATLASRIGHT=142)
*     ..
*     .. Local Scalars ..
      LOGICAL NOTRAN
      INTEGER ITRAN
*     ..
*     .. External Functions ..
      LOGICAL            LSAME
      EXTERNAL           LSAME
*     ..
*     .. External Subroutines ..
      EXTERNAL           XERBLA, ATL_F77WRAP_ZGETRS
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          MAX
*     ..
*     .. Executable Statements ..
*
*     Test the input parameters.
*
      INFO = 0
      NOTRAN = LSAME( TRANS, 'N' )
      IF( .NOT.NOTRAN .AND. .NOT.LSAME( TRANS, 'T' ) .AND. .NOT.
     $    LSAME( TRANS, 'C' ) ) THEN
         INFO = -1
      ELSE IF( N.LT.0 ) THEN
         INFO = -2
      ELSE IF( NRHS.LT.0 ) THEN
         INFO = -3
      ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
         INFO = -5
      ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
         INFO = -8
      END IF
      IF( INFO.NE.0 ) THEN
         CALL XERBLA( 'ZGETRS', -INFO )
         RETURN
      END IF
*
      IF (NOTRAN) THEN
         ITRAN = ATLASNOTRANS
      ELSE IF ( LSAME(TRANS, 'C') ) THEN
         ITRAN = ATLASCONJTRANS
      ELSE
         ITRAN = ATLASTRANS
      ENDIF
*
      CALL ATL_F77WRAP_ZGETRS( ITRAN, N, NRHS, A, LDA, IPIV, B, LDB )
*
      RETURN
      END