ZHET22  generally checks a decomposition of the form
              A U = U S
      where A is complex Hermitian, the columns of U are orthonormal,
      and S is diagonal (if KBAND=0) or symmetric tridiagonal (if
      KBAND=1).  If ITYPE=1, then U is represented as a dense matrix,
      otherwise the U is expressed as a product of Householder
      transformations, whose vectors are stored in the array 'V' and
      whose scaling constants are in 'TAU'; we shall use the letter
      'V' to refer to the product of Householder transformations
      (which should be equal to U).
      Specifically, if ITYPE=1, then:
              RESULT(1) = | U**H A U - S | / ( |A| m ulp ) and
              RESULT(2) = | I - U**H U | / ( m ulp )

  ITYPE   INTEGER
          Specifies the type of tests to be performed.
          1: U expressed as a dense orthogonal matrix:
             RESULT(1) = | A - U S U**H | / ( |A| n ulp )   *and
             RESULT(2) = | I - U U**H | / ( n ulp )
  UPLO    CHARACTER
          If UPLO='U', the upper triangle of A will be used and the
          (strictly) lower triangle will not be referenced.  If
          UPLO='L', the lower triangle of A will be used and the
          (strictly) upper triangle will not be referenced.
          Not modified.
  N       INTEGER
          The size of the matrix.  If it is zero, ZHET22 does nothing.
          It must be at least zero.
          Not modified.
  M       INTEGER
          The number of columns of U.  If it is zero, ZHET22 does
          nothing.  It must be at least zero.
          Not modified.
  KBAND   INTEGER
          The bandwidth of the matrix.  It may only be zero or one.
          If zero, then S is diagonal, and E is not referenced.  If
          one, then S is symmetric tri-diagonal.
          Not modified.
  A       COMPLEX*16 array, dimension (LDA , N)
          The original (unfactored) matrix.  It is assumed to be
          symmetric, and only the upper (UPLO='U') or only the lower
          (UPLO='L') will be referenced.
          Not modified.
  LDA     INTEGER
          The leading dimension of A.  It must be at least 1
          and at least N.
          Not modified.
  D       DOUBLE PRECISION array, dimension (N)
          The diagonal of the (symmetric tri-) diagonal matrix.
          Not modified.
  E       DOUBLE PRECISION array, dimension (N)
          The off-diagonal of the (symmetric tri-) diagonal matrix.
          E(1) is ignored, E(2) is the (1,2) and (2,1) element, etc.
          Not referenced if KBAND=0.
          Not modified.
  U       COMPLEX*16 array, dimension (LDU, N)
          If ITYPE=1, this contains the orthogonal matrix in
          the decomposition, expressed as a dense matrix.
          Not modified.
  LDU     INTEGER
          The leading dimension of U.  LDU must be at least N and
          at least 1.
          Not modified.
  V       COMPLEX*16 array, dimension (LDV, N)
          If ITYPE=2 or 3, the lower triangle of this array contains
          the Householder vectors used to describe the orthogonal
          matrix in the decomposition.  If ITYPE=1, then it is not
          referenced.
          Not modified.
  LDV     INTEGER
          The leading dimension of V.  LDV must be at least N and
          at least 1.
          Not modified.
  TAU     COMPLEX*16 array, dimension (N)
          If ITYPE >= 2, then TAU(j) is the scalar factor of
          v(j) v(j)**H in the Householder transformation H(j) of
          the product  U = H(1)...H(n-2)
          If ITYPE < 2, then TAU is not referenced.
          Not modified.
  WORK    COMPLEX*16 array, dimension (2*N**2)
          Workspace.
          Modified.
  RWORK   DOUBLE PRECISION array, dimension (N)
          Workspace.
          Modified.
  RESULT  DOUBLE PRECISION array, dimension (2)
          The values computed by the two tests described above.  The
          values are currently limited to 1/ulp, to avoid overflow.
          RESULT(1) is always modified.  RESULT(2) is modified only
          if LDU is at least N.
          Modified.

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