*  Purpose
*  =======
*
*  ICMAX1 finds the index of the element whose real part has maximum
*  absolute value.
*
*  Based on ICAMAX from Level 1 BLAS.
*  The change is to use the 'genuine' absolute value.
*
*  Contributed by Nick Higham for use with CLACON.
*
*  Arguments
*  =========
*
*  N       (input) INTEGER
*          The number of elements in the vector CX.
*
*  CX      (input) COMPLEX array, dimension (N)
*          The vector whose elements will be summed.
*
*  INCX    (input) INTEGER
*          The spacing between successive values of CX.  INCX >= 1.
*
* =====================================================================
*
*     .. Local Scalars ..
*  =====================================================================

*  Purpose
*  =======
*
*  IEEECK is called from the ILAENV to verify that Infinity and
*  possibly NaN arithmetic is safe (i.e. will not trap).
*
*  Arguments
*  =========
*
*  ISPEC   (input) INTEGER
*          Specifies whether to test just for inifinity arithmetic
*          or whether to test for infinity and NaN arithmetic.
*          = 0: Verify infinity arithmetic only.
*          = 1: Verify infinity and NaN arithmetic.
*
*  ZERO    (input) REAL
*          Must contain the value 0.0
*          This is passed to prevent the compiler from optimizing
*          away this code.
*
*  ONE     (input) REAL
*          Must contain the value 1.0
*          This is passed to prevent the compiler from optimizing
*          away this code.
*
*  RETURN VALUE:  INTEGER
*          = 0:  Arithmetic failed to produce the correct answers
*          = 1:  Arithmetic produced the correct answers
*
*     .. Local Scalars ..
*  =====================================================================

*  Purpose
*  =======
*
*  ILAENV is called from the LAPACK routines to choose problem-dependent
*  parameters for the local environment.  See ISPEC for a description of
*  the parameters.
*
*  This version provides a set of parameters which should give good,
*  but not optimal, performance on many of the currently available
*  computers.  Users are encouraged to modify this subroutine to set
*  the tuning parameters for their particular machine using the option
*  and problem size information in the arguments.
*
*  This routine will not function correctly if it is converted to all
*  lower case.  Converting it to all upper case is allowed.
*
*  Arguments
*  =========
*
*  ISPEC   (input) INTEGER
*          Specifies the parameter to be returned as the value of
*          ILAENV.
*          = 1: the optimal blocksize; if this value is 1, an unblocked
*               algorithm will give the best performance.
*          = 2: the minimum block size for which the block routine
*               should be used; if the usable block size is less than
*               this value, an unblocked routine should be used.
*          = 3: the crossover point (in a block routine, for N less
*               than this value, an unblocked routine should be used)
*          = 4: the number of shifts, used in the nonsymmetric
*               eigenvalue routines
*          = 5: the minimum column dimension for blocking to be used;
*               rectangular blocks must have dimension at least k by m,
*               where k is given by ILAENV(2,...) and m by ILAENV(5,...)
*          = 6: the crossover point for the SVD (when reducing an m by n
*               matrix to bidiagonal form, if max(m,n)/min(m,n) exceeds
*               this value, a QR factorization is used first to reduce
*               the matrix to a triangular form.)
*          = 7: the number of processors
*          = 8: the crossover point for the multishift QR and QZ methods
*               for nonsymmetric eigenvalue problems.
*          = 9: maximum size of the subproblems at the bottom of the
*               computation tree in the divide-and-conquer algorithm
*               (used by xGELSD and xGESDD)
*          =10: ieee NaN arithmetic can be trusted not to trap
*          =11: infinity arithmetic can be trusted not to trap
*
*  NAME    (input) CHARACTER*(*)
*          The name of the calling subroutine, in either upper case or
*          lower case.
*
*  OPTS    (input) CHARACTER*(*)
*          The character options to the subroutine NAME, concatenated
*          into a single character string.  For example, UPLO = 'U',
*          TRANS = 'T', and DIAG = 'N' for a triangular routine would
*          be specified as OPTS = 'UTN'.
*
*  N1      (input) INTEGER
*  N2      (input) INTEGER
*  N3      (input) INTEGER
*  N4      (input) INTEGER
*          Problem dimensions for the subroutine NAME; these may not all
*          be required.
*
* (ILAENV) (output) INTEGER
*          >= 0: the value of the parameter specified by ISPEC
*          < 0:  if ILAENV = -k, the k-th argument had an illegal value.
*
*  Further Details
*  ===============
*
*  The following conventions have been used when calling ILAENV from the
*  LAPACK routines:
*  1)  OPTS is a concatenation of all of the character options to
*      subroutine NAME, in the same order that they appear in the
*      argument list for NAME, even if they are not used in determining
*      the value of the parameter specified by ISPEC.
*  2)  The problem dimensions N1, N2, N3, N4 are specified in the order
*      that they appear in the argument list for NAME.  N1 is used
*      first, N2 second, and so on, and unused problem dimensions are
*      passed a value of -1.
*  3)  The parameter value returned by ILAENV is checked for validity in
*      the calling subroutine.  For example, ILAENV is used to retrieve
*      the optimal blocksize for STRTRI as follows:
*
*      NB = ILAENV( 1, 'STRTRI', UPLO // DIAG, N, -1, -1, -1 )
*      IF( NB.LE.1 ) NB = MAX( 1, N )
*
*  =====================================================================
*
*     .. Local Scalars ..
*  =====================================================================

*  Purpose
*  =======
*
*  IZMAX1 finds the index of the element whose real part has maximum
*  absolute value.
*
*  Based on IZAMAX from Level 1 BLAS.
*  The change is to use the 'genuine' absolute value.
*
*  Contributed by Nick Higham for use with ZLACON.
*
*  Arguments
*  =========
*
*  N       (input) INTEGER
*          The number of elements in the vector CX.
*
*  CX      (input) COMPLEX*16 array, dimension (N)
*          The vector whose elements will be summed.
*
*  INCX    (input) INTEGER
*          The spacing between successive values of CX.  INCX >= 1.
*
* =====================================================================
*
*     .. Local Scalars ..
*  =====================================================================

*  Purpose
*  =======
*
*  LSAME returns .TRUE. if CA is the same letter as CB regardless of
*  case.
*
*  Arguments
*  =========
*
*  CA      (input) CHARACTER*1
*  CB      (input) CHARACTER*1
*          CA and CB specify the single characters to be compared.
*
* =====================================================================
*
*     .. Intrinsic Functions ..
*  =====================================================================

*  Purpose
*  =======
*
*  LSAMEN  tests if the first N letters of CA are the same as the
*  first N letters of CB, regardless of case.
*  LSAMEN returns .TRUE. if CA and CB are equivalent except for case
*  and .FALSE. otherwise.  LSAMEN also returns .FALSE. if LEN( CA )
*  or LEN( CB ) is less than N.
*
*  Arguments
*  =========
*
*  N       (input) INTEGER
*          The number of characters in CA and CB to be compared.
*
*  CA      (input) CHARACTER*(*)
*  CB      (input) CHARACTER*(*)
*          CA and CB specify two character strings of length at least N.
*          Only the first N characters of each string will be accessed.
*
* =====================================================================
*
*     .. Local Scalars ..
*  =====================================================================