LAPACK  3.4.2
LAPACK: Linear Algebra PACKage
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zunghr.f File Reference

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Functions/Subroutines

subroutine zunghr (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO)
 ZUNGHR

Function/Subroutine Documentation

subroutine zunghr ( integer  N,
integer  ILO,
integer  IHI,
complex*16, dimension( lda, * )  A,
integer  LDA,
complex*16, dimension( * )  TAU,
complex*16, dimension( * )  WORK,
integer  LWORK,
integer  INFO 
)

ZUNGHR

Download ZUNGHR + dependencies [TGZ] [ZIP] [TXT]
Purpose: 
 ZUNGHR generates a complex unitary matrix Q which is defined as the
 product of IHI-ILO elementary reflectors of order N, as returned by
 ZGEHRD:

 Q = H(ilo) H(ilo+1) . . . H(ihi-1).
Parameters:
[in]N
          N is INTEGER
          The order of the matrix Q. N >= 0.
[in]ILO
          ILO is INTEGER
[in]IHI
          IHI is INTEGER

          ILO and IHI must have the same values as in the previous call
          of ZGEHRD. Q is equal to the unit matrix except in the
          submatrix Q(ilo+1:ihi,ilo+1:ihi).
          1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.
[in,out]A
          A is COMPLEX*16 array, dimension (LDA,N)
          On entry, the vectors which define the elementary reflectors,
          as returned by ZGEHRD.
          On exit, the N-by-N unitary matrix Q.
[in]LDA
          LDA is INTEGER
          The leading dimension of the array A. LDA >= max(1,N).
[in]TAU
          TAU is COMPLEX*16 array, dimension (N-1)
          TAU(i) must contain the scalar factor of the elementary
          reflector H(i), as returned by ZGEHRD.
[out]WORK
          WORK is COMPLEX*16 array, dimension (MAX(1,LWORK))
          On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
[in]LWORK
          LWORK is INTEGER
          The dimension of the array WORK. LWORK >= IHI-ILO.
          For optimum performance LWORK >= (IHI-ILO)*NB, where NB is
          the optimal blocksize.

          If LWORK = -1, then a workspace query is assumed; the routine
          only calculates the optimal size of the WORK array, returns
          this value as the first entry of the WORK array, and no error
          message related to LWORK is issued by XERBLA.
[out]INFO
          INFO is INTEGER
          = 0:  successful exit
          < 0:  if INFO = -i, the i-th argument had an illegal value
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011

Definition at line 127 of file zunghr.f.

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