table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zunmhr.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zunmhr.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zunmhr.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine ZUNMHR (side, trans, m, n, ilo, ihi, a, lda,
tau, c, ldc, work, lwork, info)
ZUNMHR
Function/Subroutine Documentation¶
subroutine ZUNMHR (character side, character trans, integer m, integer n, integer ilo, integer ihi, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( ldc, * ) c, integer ldc, complex*16, dimension( * ) work, integer lwork, integer info)¶
ZUNMHR
Purpose:
!> !> ZUNMHR overwrites the general complex M-by-N matrix C with !> !> SIDE = 'L' SIDE = 'R' !> TRANS = 'N': Q * C C * Q !> TRANS = 'C': Q**H * C C * Q**H !> !> where Q is a complex unitary matrix of order nq, with nq = m if !> SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of !> IHI-ILO elementary reflectors, as returned by ZGEHRD: !> !> Q = H(ilo) H(ilo+1) . . . H(ihi-1). !>
Parameters
SIDE
!> SIDE is CHARACTER*1 !> = 'L': apply Q or Q**H from the Left; !> = 'R': apply Q or Q**H from the Right. !>
TRANS
!> TRANS is CHARACTER*1 !> = 'N': apply Q (No transpose) !> = 'C': apply Q**H (Conjugate transpose) !>
M
!> M is INTEGER !> The number of rows of the matrix C. M >= 0. !>
N
!> N is INTEGER !> The number of columns of the matrix C. 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). !> If SIDE = 'L', then 1 <= ILO <= IHI <= M, if M > 0, and !> ILO = 1 and IHI = 0, if M = 0; !> if SIDE = 'R', then 1 <= ILO <= IHI <= N, if N > 0, and !> ILO = 1 and IHI = 0, if N = 0. !>
A
!> A is COMPLEX*16 array, dimension !> (LDA,M) if SIDE = 'L' !> (LDA,N) if SIDE = 'R' !> The vectors which define the elementary reflectors, as !> returned by ZGEHRD. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. !> LDA >= max(1,M) if SIDE = 'L'; LDA >= max(1,N) if SIDE = 'R'. !>
TAU
!> TAU is COMPLEX*16 array, dimension !> (M-1) if SIDE = 'L' !> (N-1) if SIDE = 'R' !> TAU(i) must contain the scalar factor of the elementary !> reflector H(i), as returned by ZGEHRD. !>
C
!> C is COMPLEX*16 array, dimension (LDC,N) !> On entry, the M-by-N matrix C. !> On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q. !>
LDC
!> LDC is INTEGER !> The leading dimension of the array C. LDC >= max(1,M). !>
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. !> If SIDE = 'L', LWORK >= max(1,N); !> if SIDE = 'R', LWORK >= max(1,M). !> For optimum performance LWORK >= N*NB if SIDE = 'L', and !> LWORK >= M*NB if SIDE = 'R', 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 176 of file zunmhr.f.
Author¶
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Version 3.12.0 | LAPACK |