version 1.7, 2010/12/21 13:53:58
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version 1.8, 2011/07/22 07:38:22
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SUBROUTINE ZUNGRQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO ) |
SUBROUTINE ZUNGRQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO ) |
* |
* |
* -- LAPACK routine (version 3.2) -- |
* -- LAPACK routine (version 3.3.1) -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* November 2006 |
* -- April 2011 -- |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
INTEGER INFO, K, LDA, LWORK, M, N |
INTEGER INFO, K, LDA, LWORK, M, N |
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* which is defined as the last M rows of a product of K elementary |
* which is defined as the last M rows of a product of K elementary |
* reflectors of order N |
* reflectors of order N |
* |
* |
* Q = H(1)' H(2)' . . . H(k)' |
* Q = H(1)**H H(2)**H . . . H(k)**H |
* |
* |
* as returned by ZGERQF. |
* as returned by ZGERQF. |
* |
* |
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CALL ZLARFT( 'Backward', 'Rowwise', N-K+I+IB-1, IB, |
CALL ZLARFT( 'Backward', 'Rowwise', N-K+I+IB-1, IB, |
$ A( II, 1 ), LDA, TAU( I ), WORK, LDWORK ) |
$ A( II, 1 ), LDA, TAU( I ), WORK, LDWORK ) |
* |
* |
* Apply H' to A(1:m-k+i-1,1:n-k+i+ib-1) from the right |
* Apply H**H to A(1:m-k+i-1,1:n-k+i+ib-1) from the right |
* |
* |
CALL ZLARFB( 'Right', 'Conjugate transpose', 'Backward', |
CALL ZLARFB( 'Right', 'Conjugate transpose', 'Backward', |
$ 'Rowwise', II-1, N-K+I+IB-1, IB, A( II, 1 ), |
$ 'Rowwise', II-1, N-K+I+IB-1, IB, A( II, 1 ), |
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$ LDWORK ) |
$ LDWORK ) |
END IF |
END IF |
* |
* |
* Apply H' to columns 1:n-k+i+ib-1 of current block |
* Apply H**H to columns 1:n-k+i+ib-1 of current block |
* |
* |
CALL ZUNGR2( IB, N-K+I+IB-1, IB, A( II, 1 ), LDA, TAU( I ), |
CALL ZUNGR2( IB, N-K+I+IB-1, IB, A( II, 1 ), LDA, TAU( I ), |
$ WORK, IINFO ) |
$ WORK, IINFO ) |