cupgtr.f(3) LAPACK cupgtr.f(3)NAME
cupgtr.f -
SYNOPSIS
Functions/Subroutines
subroutine cupgtr (UPLO, N, AP, TAU, Q, LDQ, WORK, INFO)
CUPGTR
Function/Subroutine Documentation
subroutine cupgtr (characterUPLO, integerN, complex, dimension( * )AP, complex, dimension( * )TAU, complex, dimension( ldq, * )Q, integerLDQ,
complex, dimension( * )WORK, integerINFO)
CUPGTR
Purpose:
CUPGTR 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
CHPTRD 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 CHPTRD;
= 'L': Lower triangular packed storage used in previous
call to CHPTRD.
N
N is INTEGER
The order of the matrix Q. N >= 0.
AP
AP is COMPLEX array, dimension (N*(N+1)/2)
The vectors which define the elementary reflectors, as
returned by CHPTRD.
TAU
TAU is COMPLEX array, dimension (N-1)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by CHPTRD.
Q
Q is COMPLEX 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 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 cupgtr.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.4.1 Sun May 26 2013 cupgtr.f(3)
Check Out this Related Man Page
CUPGTR(l) ) CUPGTR(l)
NAME
CUPGTR - 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
CHPTRD using packed storage
SYNOPSIS
SUBROUTINE CUPGTR( UPLO, N, AP, TAU, Q, LDQ, WORK, INFO )
CHARACTER UPLO
INTEGER INFO, LDQ, N
COMPLEX AP( * ), Q( LDQ, * ), TAU( * ), WORK( * )
PURPOSE
CUPGTR 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
CHPTRD 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 CHPTRD; = 'L': Lower triangular packed storage used in previous
call to CHPTRD.
N (input) INTEGER
The order of the matrix Q. N >= 0.
AP (input) COMPLEX array, dimension (N*(N+1)/2)
The vectors which define the elementary reflectors, as returned by CHPTRD.
TAU (input) COMPLEX array, dimension (N-1)
TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CHPTRD.
Q (output) COMPLEX 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 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 CUPGTR(l)
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