version 1.7, 2010/12/21 13:53:46
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version 1.8, 2011/07/22 07:38:15
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SUBROUTINE ZHETRD( UPLO, N, A, LDA, D, E, TAU, WORK, LWORK, INFO ) |
SUBROUTINE ZHETRD( UPLO, N, A, LDA, D, E, 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 .. |
CHARACTER UPLO |
CHARACTER UPLO |
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* |
* |
* Each H(i) has the form |
* Each H(i) has the form |
* |
* |
* H(i) = I - tau * v * v' |
* H(i) = I - tau * v * v**H |
* |
* |
* where tau is a complex scalar, and v is a complex vector with |
* where tau is a complex scalar, and v is a complex vector with |
* v(i+1:n) = 0 and v(i) = 1; v(1:i-1) is stored on exit in |
* v(i+1:n) = 0 and v(i) = 1; v(1:i-1) is stored on exit in |
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* |
* |
* Each H(i) has the form |
* Each H(i) has the form |
* |
* |
* H(i) = I - tau * v * v' |
* H(i) = I - tau * v * v**H |
* |
* |
* where tau is a complex scalar, and v is a complex vector with |
* where tau is a complex scalar, and v is a complex vector with |
* v(1:i) = 0 and v(i+1) = 1; v(i+2:n) is stored on exit in A(i+2:n,i), |
* v(1:i) = 0 and v(i+1) = 1; v(i+2:n) is stored on exit in A(i+2:n,i), |
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$ LDWORK ) |
$ LDWORK ) |
* |
* |
* Update the unreduced submatrix A(1:i-1,1:i-1), using an |
* Update the unreduced submatrix A(1:i-1,1:i-1), using an |
* update of the form: A := A - V*W' - W*V' |
* update of the form: A := A - V*W**H - W*V**H |
* |
* |
CALL ZHER2K( UPLO, 'No transpose', I-1, NB, -CONE, |
CALL ZHER2K( UPLO, 'No transpose', I-1, NB, -CONE, |
$ A( 1, I ), LDA, WORK, LDWORK, ONE, A, LDA ) |
$ A( 1, I ), LDA, WORK, LDWORK, ONE, A, LDA ) |
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$ TAU( I ), WORK, LDWORK ) |
$ TAU( I ), WORK, LDWORK ) |
* |
* |
* Update the unreduced submatrix A(i+nb:n,i+nb:n), using |
* Update the unreduced submatrix A(i+nb:n,i+nb:n), using |
* an update of the form: A := A - V*W' - W*V' |
* an update of the form: A := A - V*W**H - W*V**H |
* |
* |
CALL ZHER2K( UPLO, 'No transpose', N-I-NB+1, NB, -CONE, |
CALL ZHER2K( UPLO, 'No transpose', N-I-NB+1, NB, -CONE, |
$ A( I+NB, I ), LDA, WORK( NB+1 ), LDWORK, ONE, |
$ A( I+NB, I ), LDA, WORK( NB+1 ), LDWORK, ONE, |