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- SUBROUTINE DORGL2( M, N, K, A, LDA, TAU, WORK, INFO )
-*
-* -- LAPACK routine (version 3.1) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- INTEGER INFO, K, LDA, M, N
-* ..
-* .. Array Arguments ..
- DOUBLE PRECISION A( LDA, * ), TAU( * ), WORK( * )
-* ..
-*
-* Purpose
-* =======
-*
-* DORGL2 generates an m by n real matrix Q with orthonormal rows,
-* which is defined as the first m rows of a product of k elementary
-* reflectors of order n
-*
-* Q = H(k) . . . H(2) H(1)
-*
-* as returned by DGELQF.
-*
-* Arguments
-* =========
-*
-* M (input) INTEGER
-* The number of rows of the matrix Q. M >= 0.
-*
-* N (input) INTEGER
-* The number of columns of the matrix Q. N >= M.
-*
-* K (input) INTEGER
-* The number of elementary reflectors whose product defines the
-* matrix Q. M >= K >= 0.
-*
-* A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
-* On entry, the i-th row must contain the vector which defines
-* the elementary reflector H(i), for i = 1,2,...,k, as returned
-* by DGELQF in the first k rows of its array argument A.
-* On exit, the m-by-n matrix Q.
-*
-* LDA (input) INTEGER
-* The first dimension of the array A. LDA >= max(1,M).
-*
-* TAU (input) DOUBLE PRECISION array, dimension (K)
-* TAU(i) must contain the scalar factor of the elementary
-* reflector H(i), as returned by DGELQF.
-*
-* WORK (workspace) DOUBLE PRECISION array, dimension (M)
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument has an illegal value
-*
-* =====================================================================
-*
-* .. Parameters ..
- DOUBLE PRECISION ONE, ZERO
- PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
-* ..
-* .. Local Scalars ..
- INTEGER I, J, L
-* ..
-* .. External Subroutines ..
- EXTERNAL DLARF, DSCAL, XERBLA
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC MAX
-* ..
-* .. Executable Statements ..
-*
-* Test the input arguments
-*
- INFO = 0
- IF( M.LT.0 ) THEN
- INFO = -1
- ELSE IF( N.LT.M ) THEN
- INFO = -2
- ELSE IF( K.LT.0 .OR. K.GT.M ) THEN
- INFO = -3
- ELSE IF( LDA.LT.MAX( 1, M ) ) THEN
- INFO = -5
- END IF
- IF( INFO.NE.0 ) THEN
- CALL XERBLA( 'DORGL2', -INFO )
- RETURN
- END IF
-*
-* Quick return if possible
-*
- IF( M.LE.0 )
- $ RETURN
-*
- IF( K.LT.M ) THEN
-*
-* Initialise rows k+1:m to rows of the unit matrix
-*
- DO 20 J = 1, N
- DO 10 L = K + 1, M
- A( L, J ) = ZERO
- 10 CONTINUE
- IF( J.GT.K .AND. J.LE.M )
- $ A( J, J ) = ONE
- 20 CONTINUE
- END IF
-*
- DO 40 I = K, 1, -1
-*
-* Apply H(i) to A(i:m,i:n) from the right
-*
- IF( I.LT.N ) THEN
- IF( I.LT.M ) THEN
- A( I, I ) = ONE
- CALL DLARF( 'Right', M-I, N-I+1, A( I, I ), LDA,
- $ TAU( I ), A( I+1, I ), LDA, WORK )
- END IF
- CALL DSCAL( N-I, -TAU( I ), A( I, I+1 ), LDA )
- END IF
- A( I, I ) = ONE - TAU( I )
-*
-* Set A(i,1:i-1) to zero
-*
- DO 30 L = 1, I - 1
- A( I, L ) = ZERO
- 30 CONTINUE
- 40 CONTINUE
- RETURN
-*
-* End of DORGL2
-*
- END