zupgtr.f(3) LAPACK zupgtr.f(3)NAME
zupgtr.f -
SYNOPSIS
Functions/Subroutines
subroutine zupgtr (UPLO, N, AP, TAU, Q, LDQ, WORK, INFO)
ZUPGTR
Function/Subroutine Documentation
subroutine zupgtr (characterUPLO, integerN, complex*16, dimension( * )AP, complex*16, dimension( * )TAU, complex*16, dimension( ldq, * )Q,
integerLDQ, complex*16, dimension( * )WORK, integerINFO)
ZUPGTR
Purpose:
ZUPGTR generates a complex unitary matrix Q which is defined as the
product of n-1 elementary reflectors H(i) of order n, as returned by
ZHPTRD using packed storage:
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 triangular packed storage used in previous
call to ZHPTRD;
= 'L': Lower triangular packed storage used in previous
call to ZHPTRD.
N
N is INTEGER
The order of the matrix Q. N >= 0.
AP
AP is COMPLEX*16 array, dimension (N*(N+1)/2)
The vectors which define the elementary reflectors, as
returned by ZHPTRD.
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 ZHPTRD.
Q
Q is COMPLEX*16 array, dimension (LDQ,N)
The N-by-N unitary matrix Q.
LDQ
LDQ is INTEGER
The leading dimension of the array Q. LDQ >= max(1,N).
WORK
WORK is COMPLEX*16 array, dimension (N-1)
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 115 of file zupgtr.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.4.2 Tue Sep 25 2012 zupgtr.f(3)
Check Out this Related Man Page
ZUPGTR(l) ) ZUPGTR(l)
NAME
ZUPGTR - generate a complex unitary matrix Q which is defined as the product of n-1 elementary reflectors H(i) of order n, as returned by
ZHPTRD using packed storage
SYNOPSIS
SUBROUTINE ZUPGTR( UPLO, N, AP, TAU, Q, LDQ, WORK, INFO )
CHARACTER UPLO
INTEGER INFO, LDQ, N
COMPLEX*16 AP( * ), Q( LDQ, * ), TAU( * ), WORK( * )
PURPOSE
ZUPGTR generates a complex unitary matrix Q which is defined as the product of n-1 elementary reflectors H(i) of order n, as returned by
ZHPTRD using packed storage: if UPLO = 'U', Q = H(n-1) . . . H(2)H(1),
if UPLO = 'L', Q = H(1)H(2) . . . H(n-1).
ARGUMENTS
UPLO (input) CHARACTER*1
= 'U': Upper triangular packed storage used in previous call to ZHPTRD; = 'L': Lower triangular packed storage used in previous
call to ZHPTRD.
N (input) INTEGER
The order of the matrix Q. N >= 0.
AP (input) COMPLEX*16 array, dimension (N*(N+1)/2)
The vectors which define the elementary reflectors, as returned by ZHPTRD.
TAU (input) COMPLEX*16 array, dimension (N-1)
TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZHPTRD.
Q (output) COMPLEX*16 array, dimension (LDQ,N)
The N-by-N unitary matrix Q.
LDQ (input) INTEGER
The leading dimension of the array Q. LDQ >= max(1,N).
WORK (workspace) COMPLEX*16 array, dimension (N-1)
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
LAPACK version 3.0 15 June 2000 ZUPGTR(l)
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