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- SUBROUTINE ZUNGHR( N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO )
-*
-* -- LAPACK routine (version 3.1) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- INTEGER IHI, ILO, INFO, LDA, LWORK, N
-* ..
-* .. Array Arguments ..
- COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
-* ..
-*
-* Purpose
-* =======
-*
-* ZUNGHR generates a complex unitary matrix Q which is defined as the
-* product of IHI-ILO elementary reflectors of order N, as returned by
-* ZGEHRD:
-*
-* Q = H(ilo) H(ilo+1) . . . H(ihi-1).
-*
-* Arguments
-* =========
-*
-* N (input) INTEGER
-* The order of the matrix Q. N >= 0.
-*
-* ILO (input) INTEGER
-* IHI (input) INTEGER
-* ILO and IHI must have the same values as in the previous call
-* of ZGEHRD. Q is equal to the unit matrix except in the
-* submatrix Q(ilo+1:ihi,ilo+1:ihi).
-* 1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.
-*
-* A (input/output) COMPLEX*16 array, dimension (LDA,N)
-* On entry, the vectors which define the elementary reflectors,
-* as returned by ZGEHRD.
-* On exit, the N-by-N unitary matrix Q.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,N).
-*
-* TAU (input) COMPLEX*16 array, dimension (N-1)
-* TAU(i) must contain the scalar factor of the elementary
-* reflector H(i), as returned by ZGEHRD.
-*
-* WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK))
-* On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
-*
-* LWORK (input) INTEGER
-* The dimension of the array WORK. LWORK >= IHI-ILO.
-* For optimum performance LWORK >= (IHI-ILO)*NB, where NB is
-* the optimal blocksize.
-*
-* If LWORK = -1, then a workspace query is assumed; the routine
-* only calculates the optimal size of the WORK array, returns
-* this value as the first entry of the WORK array, and no error
-* message related to LWORK is issued by XERBLA.
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-*
-* =====================================================================
-*
-* .. Parameters ..
- COMPLEX*16 ZERO, ONE
- PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ),
- $ ONE = ( 1.0D+0, 0.0D+0 ) )
-* ..
-* .. Local Scalars ..
- LOGICAL LQUERY
- INTEGER I, IINFO, J, LWKOPT, NB, NH
-* ..
-* .. External Subroutines ..
- EXTERNAL XERBLA, ZUNGQR
-* ..
-* .. External Functions ..
- INTEGER ILAENV
- EXTERNAL ILAENV
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC MAX, MIN
-* ..
-* .. Executable Statements ..
-*
-* Test the input arguments
-*
- INFO = 0
- NH = IHI - ILO
- LQUERY = ( LWORK.EQ.-1 )
- IF( N.LT.0 ) THEN
- INFO = -1
- ELSE IF( ILO.LT.1 .OR. ILO.GT.MAX( 1, N ) ) THEN
- INFO = -2
- ELSE IF( IHI.LT.MIN( ILO, N ) .OR. IHI.GT.N ) THEN
- INFO = -3
- ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
- INFO = -5
- ELSE IF( LWORK.LT.MAX( 1, NH ) .AND. .NOT.LQUERY ) THEN
- INFO = -8
- END IF
-*
- IF( INFO.EQ.0 ) THEN
- NB = ILAENV( 1, 'ZUNGQR', ' ', NH, NH, NH, -1 )
- LWKOPT = MAX( 1, NH )*NB
- WORK( 1 ) = LWKOPT
- END IF
-*
- IF( INFO.NE.0 ) THEN
- CALL XERBLA( 'ZUNGHR', -INFO )
- RETURN
- ELSE IF( LQUERY ) THEN
- RETURN
- END IF
-*
-* Quick return if possible
-*
- IF( N.EQ.0 ) THEN
- WORK( 1 ) = 1
- RETURN
- END IF
-*
-* Shift the vectors which define the elementary reflectors one
-* column to the right, and set the first ilo and the last n-ihi
-* rows and columns to those of the unit matrix
-*
- DO 40 J = IHI, ILO + 1, -1
- DO 10 I = 1, J - 1
- A( I, J ) = ZERO
- 10 CONTINUE
- DO 20 I = J + 1, IHI
- A( I, J ) = A( I, J-1 )
- 20 CONTINUE
- DO 30 I = IHI + 1, N
- A( I, J ) = ZERO
- 30 CONTINUE
- 40 CONTINUE
- DO 60 J = 1, ILO
- DO 50 I = 1, N
- A( I, J ) = ZERO
- 50 CONTINUE
- A( J, J ) = ONE
- 60 CONTINUE
- DO 80 J = IHI + 1, N
- DO 70 I = 1, N
- A( I, J ) = ZERO
- 70 CONTINUE
- A( J, J ) = ONE
- 80 CONTINUE
-*
- IF( NH.GT.0 ) THEN
-*
-* Generate Q(ilo+1:ihi,ilo+1:ihi)
-*
- CALL ZUNGQR( NH, NH, NH, A( ILO+1, ILO+1 ), LDA, TAU( ILO ),
- $ WORK, LWORK, IINFO )
- END IF
- WORK( 1 ) = LWKOPT
- RETURN
-*
-* End of ZUNGHR
-*
- END