zunghr.f3
Usage
Functions/Subroutines
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
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
N
!> N is INTEGER !> The order of the matrix Q. N >= 0. !>
ILO
!> ILO is INTEGER !>
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. !>
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. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !>
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. !>
WORK
!> WORK is COMPLEX*16 array, dimension (MAX(1,LWORK))
!> On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
!>
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. !>
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.
Definition at line 125 of file zunghr.f.
History
- Arch Linux 2026-11-01: the text shown here
- Debian 9 (Stretch)
- Debian 8 (Jessie)
- Debian 7 (Wheezy)