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authorjofret2009-04-28 07:17:00 +0000
committerjofret2009-04-28 07:17:00 +0000
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Moving lapack to right place
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- SUBROUTINE ZUNGTR( UPLO, N, 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 ..
- CHARACTER UPLO
- INTEGER INFO, LDA, LWORK, N
-* ..
-* .. Array Arguments ..
- COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
-* ..
-*
-* Purpose
-* =======
-*
-* ZUNGTR generates a complex unitary matrix Q which is defined as the
-* product of n-1 elementary reflectors of order N, as returned by
-* ZHETRD:
-*
-* if UPLO = 'U', Q = H(n-1) . . . H(2) H(1),
-*
-* if UPLO = 'L', Q = H(1) H(2) . . . H(n-1).
-*
-* Arguments
-* =========
-*
-* UPLO (input) CHARACTER*1
-* = 'U': Upper triangle of A contains elementary reflectors
-* from ZHETRD;
-* = 'L': Lower triangle of A contains elementary reflectors
-* from ZHETRD.
-*
-* N (input) INTEGER
-* The order of the matrix Q. N >= 0.
-*
-* A (input/output) COMPLEX*16 array, dimension (LDA,N)
-* On entry, the vectors which define the elementary reflectors,
-* as returned by ZHETRD.
-* On exit, the N-by-N unitary matrix Q.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= 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 ZHETRD.
-*
-* 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 >= N-1.
-* For optimum performance LWORK >= (N-1)*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, UPPER
- INTEGER I, IINFO, J, LWKOPT, NB
-* ..
-* .. External Functions ..
- LOGICAL LSAME
- INTEGER ILAENV
- EXTERNAL LSAME, ILAENV
-* ..
-* .. External Subroutines ..
- EXTERNAL XERBLA, ZUNGQL, ZUNGQR
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC MAX
-* ..
-* .. Executable Statements ..
-*
-* Test the input arguments
-*
- INFO = 0
- LQUERY = ( LWORK.EQ.-1 )
- 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
- ELSE IF( LWORK.LT.MAX( 1, N-1 ) .AND. .NOT.LQUERY ) THEN
- INFO = -7
- END IF
-*
- IF( INFO.EQ.0 ) THEN
- IF( UPPER ) THEN
- NB = ILAENV( 1, 'ZUNGQL', ' ', N-1, N-1, N-1, -1 )
- ELSE
- NB = ILAENV( 1, 'ZUNGQR', ' ', N-1, N-1, N-1, -1 )
- END IF
- LWKOPT = MAX( 1, N-1 )*NB
- WORK( 1 ) = LWKOPT
- END IF
-*
- IF( INFO.NE.0 ) THEN
- CALL XERBLA( 'ZUNGTR', -INFO )
- RETURN
- ELSE IF( LQUERY ) THEN
- RETURN
- END IF
-*
-* Quick return if possible
-*
- IF( N.EQ.0 ) THEN
- WORK( 1 ) = 1
- RETURN
- END IF
-*
- IF( UPPER ) THEN
-*
-* Q was determined by a call to ZHETRD with UPLO = 'U'
-*
-* Shift the vectors which define the elementary reflectors one
-* column to the left, and set the last row and column of Q to
-* those of the unit matrix
-*
- DO 20 J = 1, N - 1
- DO 10 I = 1, J - 1
- A( I, J ) = A( I, J+1 )
- 10 CONTINUE
- A( N, J ) = ZERO
- 20 CONTINUE
- DO 30 I = 1, N - 1
- A( I, N ) = ZERO
- 30 CONTINUE
- A( N, N ) = ONE
-*
-* Generate Q(1:n-1,1:n-1)
-*
- CALL ZUNGQL( N-1, N-1, N-1, A, LDA, TAU, WORK, LWORK, IINFO )
-*
- ELSE
-*
-* Q was determined by a call to ZHETRD with UPLO = 'L'.
-*
-* Shift the vectors which define the elementary reflectors one
-* column to the right, and set the first row and column of Q to
-* those of the unit matrix
-*
- DO 50 J = N, 2, -1
- A( 1, J ) = ZERO
- DO 40 I = J + 1, N
- A( I, J ) = A( I, J-1 )
- 40 CONTINUE
- 50 CONTINUE
- A( 1, 1 ) = ONE
- DO 60 I = 2, N
- A( I, 1 ) = ZERO
- 60 CONTINUE
- IF( N.GT.1 ) THEN
-*
-* Generate Q(2:n,2:n)
-*
- CALL ZUNGQR( N-1, N-1, N-1, A( 2, 2 ), LDA, TAU, WORK,
- $ LWORK, IINFO )
- END IF
- END IF
- WORK( 1 ) = LWKOPT
- RETURN
-*
-* End of ZUNGTR
-*
- END