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- SUBROUTINE DORMR2( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
- $ WORK, INFO )
-*
-* -- LAPACK routine (version 3.1) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- CHARACTER SIDE, TRANS
- INTEGER INFO, K, LDA, LDC, M, N
-* ..
-* .. Array Arguments ..
- DOUBLE PRECISION A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
-* ..
-*
-* Purpose
-* =======
-*
-* DORMR2 overwrites the general real m by n matrix C with
-*
-* Q * C if SIDE = 'L' and TRANS = 'N', or
-*
-* Q'* C if SIDE = 'L' and TRANS = 'T', or
-*
-* C * Q if SIDE = 'R' and TRANS = 'N', or
-*
-* C * Q' if SIDE = 'R' and TRANS = 'T',
-*
-* where Q is a real orthogonal matrix defined as the product of k
-* elementary reflectors
-*
-* Q = H(1) H(2) . . . H(k)
-*
-* as returned by DGERQF. Q is of order m if SIDE = 'L' and of order n
-* if SIDE = 'R'.
-*
-* Arguments
-* =========
-*
-* SIDE (input) CHARACTER*1
-* = 'L': apply Q or Q' from the Left
-* = 'R': apply Q or Q' from the Right
-*
-* TRANS (input) CHARACTER*1
-* = 'N': apply Q (No transpose)
-* = 'T': apply Q' (Transpose)
-*
-* M (input) INTEGER
-* The number of rows of the matrix C. M >= 0.
-*
-* N (input) INTEGER
-* The number of columns of the matrix C. N >= 0.
-*
-* K (input) INTEGER
-* The number of elementary reflectors whose product defines
-* the matrix Q.
-* If SIDE = 'L', M >= K >= 0;
-* if SIDE = 'R', N >= K >= 0.
-*
-* A (input) DOUBLE PRECISION array, dimension
-* (LDA,M) if SIDE = 'L',
-* (LDA,N) if SIDE = 'R'
-* The i-th row must contain the vector which defines the
-* elementary reflector H(i), for i = 1,2,...,k, as returned by
-* DGERQF in the last k rows of its array argument A.
-* A is modified by the routine but restored on exit.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,K).
-*
-* TAU (input) DOUBLE PRECISION array, dimension (K)
-* TAU(i) must contain the scalar factor of the elementary
-* reflector H(i), as returned by DGERQF.
-*
-* C (input/output) DOUBLE PRECISION array, dimension (LDC,N)
-* On entry, the m by n matrix C.
-* On exit, C is overwritten by Q*C or Q'*C or C*Q' or C*Q.
-*
-* LDC (input) INTEGER
-* The leading dimension of the array C. LDC >= max(1,M).
-*
-* WORK (workspace) DOUBLE PRECISION array, dimension
-* (N) if SIDE = 'L',
-* (M) if SIDE = 'R'
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-*
-* =====================================================================
-*
-* .. Parameters ..
- DOUBLE PRECISION ONE
- PARAMETER ( ONE = 1.0D+0 )
-* ..
-* .. Local Scalars ..
- LOGICAL LEFT, NOTRAN
- INTEGER I, I1, I2, I3, MI, NI, NQ
- DOUBLE PRECISION AII
-* ..
-* .. External Functions ..
- LOGICAL LSAME
- EXTERNAL LSAME
-* ..
-* .. External Subroutines ..
- EXTERNAL DLARF, XERBLA
-* ..
-* .. Intrinsic Functions ..
- INTRINSIC MAX
-* ..
-* .. Executable Statements ..
-*
-* Test the input arguments
-*
- INFO = 0
- LEFT = LSAME( SIDE, 'L' )
- NOTRAN = LSAME( TRANS, 'N' )
-*
-* NQ is the order of Q
-*
- IF( LEFT ) THEN
- NQ = M
- ELSE
- NQ = N
- END IF
- IF( .NOT.LEFT .AND. .NOT.LSAME( SIDE, 'R' ) ) THEN
- INFO = -1
- ELSE IF( .NOT.NOTRAN .AND. .NOT.LSAME( TRANS, 'T' ) ) THEN
- INFO = -2
- ELSE IF( M.LT.0 ) THEN
- INFO = -3
- ELSE IF( N.LT.0 ) THEN
- INFO = -4
- ELSE IF( K.LT.0 .OR. K.GT.NQ ) THEN
- INFO = -5
- ELSE IF( LDA.LT.MAX( 1, K ) ) THEN
- INFO = -7
- ELSE IF( LDC.LT.MAX( 1, M ) ) THEN
- INFO = -10
- END IF
- IF( INFO.NE.0 ) THEN
- CALL XERBLA( 'DORMR2', -INFO )
- RETURN
- END IF
-*
-* Quick return if possible
-*
- IF( M.EQ.0 .OR. N.EQ.0 .OR. K.EQ.0 )
- $ RETURN
-*
- IF( ( LEFT .AND. .NOT.NOTRAN ) .OR. ( .NOT.LEFT .AND. NOTRAN ) )
- $ THEN
- I1 = 1
- I2 = K
- I3 = 1
- ELSE
- I1 = K
- I2 = 1
- I3 = -1
- END IF
-*
- IF( LEFT ) THEN
- NI = N
- ELSE
- MI = M
- END IF
-*
- DO 10 I = I1, I2, I3
- IF( LEFT ) THEN
-*
-* H(i) is applied to C(1:m-k+i,1:n)
-*
- MI = M - K + I
- ELSE
-*
-* H(i) is applied to C(1:m,1:n-k+i)
-*
- NI = N - K + I
- END IF
-*
-* Apply H(i)
-*
- AII = A( I, NQ-K+I )
- A( I, NQ-K+I ) = ONE
- CALL DLARF( SIDE, MI, NI, A( I, 1 ), LDA, TAU( I ), C, LDC,
- $ WORK )
- A( I, NQ-K+I ) = AII
- 10 CONTINUE
- RETURN
-*
-* End of DORMR2
-*
- END