cpotrf.f

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      SUBROUTINE CPOTRF( UPLO, N, A, LDA, 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 UPLO      INTEGER   INFO, LDA, N*     ..*     .. Array Arguments ..      COMPLEX A( LDA, * )*     ..**  Purpose*  =======**  CPOTRF computes the Cholesky factorization of a complex Hermitian*  positive definite matrix A.**  The factorization has the form*     A = U**H * U,  if UPLO = 'U', or*     A = L  * L**H,  if UPLO = 'L',*  where U is an upper triangular matrix and L is lower triangular.**  Arguments*  =========**  UPLO    (input) CHARACTER*1*          = 'U':  Upper triangle of A is stored;*          = 'L':  Lower triangle of A is stored.**  N       (input) INTEGER*          The order of the matrix A.  N >= 0.**  A       (input/output) COMPLEX array, dimension (LDA,N)*          On entry, the Hermition matrix A.  If UPLO = 'U', the leading*          N-by-N upper triangular part of A contains the upper*          triangular part of the matrix A, and the strictly lower*          triangular part of A is not referenced.  If UPLO = 'L', the*          leading N-by-N lower triangular part of A contains the lower*          triangular part of the matrix A, and the strictly upper*          triangular part of A is not referenced.**          On exit, if INFO = 0, the factor U or L from the Cholesky*          factorization A = U**H*U or A = L*L**H.**  LDA     (input) INTEGER*          The leading dimension of the array A.  LDA >= max(1,N).**  INFO    (output) INTEGER*          = 0:  successful exit*          < 0:  if INFO = -i, the i-th argument had an illegal value*          > 0:  if INFO = i, the leading minor of order i is not*                positive definite, and the factorization could not be*                completed.**  =====================================================================**     .. 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            UPPER      INTEGER            IUPLO*     ..*     .. External Functions ..      LOGICAL            LSAME      EXTERNAL           LSAME*     ..*     .. External Subroutines ..      EXTERNAL           XERBLA*     ..*     .. Intrinsic Functions ..      INTRINSIC          MAX, MIN*     ..*     .. Executable Statements ..**     Test the input parameters.*      INFO = 0      UPPER = LSAME( UPLO, 'U' )      IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN         INFO = -1      ELSE IF( N.LT.0 ) THEN         INFO = -2      ELSE IF( LDA.LT.MAX( 1, N ) ) THEN         INFO = -4      END IF      IF( INFO.NE.0 ) THEN         CALL XERBLA( 'CPOTRF', -INFO )         RETURN      END IF*      IF (UPPER) THEN         IUPLO = ATLASUPPER      ELSE         IUPLO = ATLASLOWER      ENDIF*      CALL ATL_F77WRAP_CPOTRF( IUPLO, N, A, LDA, INFO )*      RETURN      END

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