sorgtr.f3
Usage
Functions/Subroutines
subroutine sorgtr (uplo, n, a, lda, tau, work, lwork, info)
SORGTR
Function/Subroutine Documentation
subroutine sorgtr (character uplo, integer n, real, dimension( lda, * ) a, integer lda, real, dimension( * ) tau, real, dimension( * ) work, integer lwork, integer info)
SORGTR
Purpose:
!> !> SORGTR generates a real orthogonal matrix Q which is defined as the !> product of n-1 elementary reflectors of order N, as returned by !> SSYTRD: !> !> if UPLO = 'U', Q = H(n-1) . . . H(2) H(1), !> !> if UPLO = 'L', Q = H(1) H(2) . . . H(n-1). !>
Parameters
UPLO
!> UPLO is CHARACTER*1 !> = 'U': Upper triangle of A contains elementary reflectors !> from SSYTRD; !> = 'L': Lower triangle of A contains elementary reflectors !> from SSYTRD. !>
N
!> N is INTEGER !> The order of the matrix Q. N >= 0. !>
A
!> A is REAL array, dimension (LDA,N) !> On entry, the vectors which define the elementary reflectors, !> as returned by SSYTRD. !> On exit, the N-by-N orthogonal matrix Q. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !>
TAU
!> TAU is REAL array, dimension (N-1) !> TAU(i) must contain the scalar factor of the elementary !> reflector H(i), as returned by SSYTRD. !>
WORK
!> WORK is REAL 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 >= max(1,N-1). !> For optimum performance LWORK >= (N-1)*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 122 of file sorgtr.f.
Releases
4 releases since Debian 7 (Wheezy); the text changed 3 times.