cungtr.f.html

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      SUBROUTINE <a name="CUNGTR.1"></a><a href="cungtr.f.html#CUNGTR.1">CUNGTR</a>( UPLO, N, A, LDA, TAU, WORK, LWORK, INFO )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  -- LAPACK routine (version 3.1) --
</span><span class="comment">*</span><span class="comment">     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
</span><span class="comment">*</span><span class="comment">     November 2006
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     .. Scalar Arguments ..
</span>      CHARACTER          UPLO
      INTEGER            INFO, LDA, LWORK, N
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Array Arguments ..
</span>      COMPLEX            A( LDA, * ), TAU( * ), WORK( * )
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Purpose
</span><span class="comment">*</span><span class="comment">  =======
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  <a name="CUNGTR.18"></a><a href="cungtr.f.html#CUNGTR.1">CUNGTR</a> generates a complex unitary matrix Q which is defined as the
</span><span class="comment">*</span><span class="comment">  product of n-1 elementary reflectors of order N, as returned by
</span><span class="comment">*</span><span class="comment">  <a name="CHETRD.20"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a>:
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  if UPLO = 'U', Q = H(n-1) . . . H(2) H(1),
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  if UPLO = 'L', Q = H(1) H(2) . . . H(n-1).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Arguments
</span><span class="comment">*</span><span class="comment">  =========
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  UPLO    (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment">          = 'U': Upper triangle of A contains elementary reflectors
</span><span class="comment">*</span><span class="comment">                 from <a name="CHETRD.31"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a>;
</span><span class="comment">*</span><span class="comment">          = 'L': Lower triangle of A contains elementary reflectors
</span><span class="comment">*</span><span class="comment">                 from <a name="CHETRD.33"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a>.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  N       (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The order of the matrix Q. N &gt;= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  A       (input/output) COMPLEX array, dimension (LDA,N)
</span><span class="comment">*</span><span class="comment">          On entry, the vectors which define the elementary reflectors,
</span><span class="comment">*</span><span class="comment">          as returned by <a name="CHETRD.40"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a>.
</span><span class="comment">*</span><span class="comment">          On exit, the N-by-N unitary matrix Q.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  LDA     (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The leading dimension of the array A. LDA &gt;= N.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  TAU     (input) COMPLEX array, dimension (N-1)
</span><span class="comment">*</span><span class="comment">          TAU(i) must contain the scalar factor of the elementary
</span><span class="comment">*</span><span class="comment">          reflector H(i), as returned by <a name="CHETRD.48"></a><a href="chetrd.f.html#CHETRD.1">CHETRD</a>.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  WORK    (workspace/output) COMPLEX array, dimension (MAX(1,LWORK))
</span><span class="comment">*</span><span class="comment">          On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  LWORK   (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The dimension of the array WORK. LWORK &gt;= N-1.
</span><span class="comment">*</span><span class="comment">          For optimum performance LWORK &gt;= (N-1)*NB, where NB is
</span><span class="comment">*</span><span class="comment">          the optimal blocksize.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">          If LWORK = -1, then a workspace query is assumed; the routine
</span><span class="comment">*</span><span class="comment">          only calculates the optimal size of the WORK array, returns
</span><span class="comment">*</span><span class="comment">          this value as the first entry of the WORK array, and no error
</span><span class="comment">*</span><span class="comment">          message related to LWORK is issued by <a name="XERBLA.61"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  INFO    (output) INTEGER
</span><span class="comment">*</span><span class="comment">          = 0:  successful exit
</span><span class="comment">*</span><span class="comment">          &lt; 0:  if INFO = -i, the i-th argument had an illegal value
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  =====================================================================
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     .. Parameters ..
</span>      COMPLEX            ZERO, ONE
      PARAMETER          ( ZERO = ( 0.0E+0, 0.0E+0 ),
     $                   ONE = ( 1.0E+0, 0.0E+0 ) )
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Local Scalars ..
</span>      LOGICAL            LQUERY, UPPER
      INTEGER            I, IINFO, J, LWKOPT, NB
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. External Functions ..
</span>      LOGICAL            <a name="LSAME.79"></a><a href="lsame.f.html#LSAME.1">LSAME</a>
      INTEGER            <a name="ILAENV.80"></a><a href="hfy-index.html#ILAENV">ILAENV</a>
      EXTERNAL           <a name="ILAENV.81"></a><a href="hfy-index.html#ILAENV">ILAENV</a>, <a name="LSAME.81"></a><a href="lsame.f.html#LSAME.1">LSAME</a>
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. External Subroutines ..
</span>      EXTERNAL           <a name="CUNGQL.84"></a><a href="cungql.f.html#CUNGQL.1">CUNGQL</a>, <a name="CUNGQR.84"></a><a href="cungqr.f.html#CUNGQR.1">CUNGQR</a>, <a name="XERBLA.84"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Intrinsic Functions ..
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