version 1.7, 2010/12/21 13:53:43
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version 1.8, 2011/07/22 07:38:14
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SUBROUTINE ZGEHD2( N, ILO, IHI, A, LDA, TAU, WORK, INFO ) |
SUBROUTINE ZGEHD2( N, ILO, IHI, A, LDA, TAU, WORK, 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 IHI, ILO, INFO, LDA, N |
INTEGER IHI, ILO, INFO, LDA, N |
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* ======= |
* ======= |
* |
* |
* ZGEHD2 reduces a complex general matrix A to upper Hessenberg form H |
* ZGEHD2 reduces a complex general matrix A to upper Hessenberg form H |
* by a unitary similarity transformation: Q' * A * Q = H . |
* by a unitary similarity transformation: Q**H * A * Q = H . |
* |
* |
* Arguments |
* Arguments |
* ========= |
* ========= |
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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, v(i+1) = 1 and v(ihi+1:n) = 0; v(i+2:ihi) is stored on |
* v(1:i) = 0, v(i+1) = 1 and v(ihi+1:n) = 0; v(i+2:ihi) is stored on |
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CALL ZLARF( 'Right', IHI, IHI-I, A( I+1, I ), 1, TAU( I ), |
CALL ZLARF( 'Right', IHI, IHI-I, A( I+1, I ), 1, TAU( I ), |
$ A( 1, I+1 ), LDA, WORK ) |
$ A( 1, I+1 ), LDA, WORK ) |
* |
* |
* Apply H(i)' to A(i+1:ihi,i+1:n) from the left |
* Apply H(i)**H to A(i+1:ihi,i+1:n) from the left |
* |
* |
CALL ZLARF( 'Left', IHI-I, N-I, A( I+1, I ), 1, |
CALL ZLARF( 'Left', IHI-I, N-I, A( I+1, I ), 1, |
$ DCONJG( TAU( I ) ), A( I+1, I+1 ), LDA, WORK ) |
$ DCONJG( TAU( I ) ), A( I+1, I+1 ), LDA, WORK ) |