NAME
dopgtr - generate a real orthogonal matrix Q which is
defined as the product of n-1 elementary reflectors H(i) of
order n, as returned by DSPTRD using packed storage
SYNOPSIS
SUBROUTINE DOPGTR( UPLO, N, AP, TAU, Q, LDQ, WORK, INFO )
CHARACTER UPLO
INTEGER INFO, LDQ, N
DOUBLE PRECISION AP( * ), Q( LDQ, * ), TAU( * ), WORK( * )
#include <sunperf.h>
void dopgtr(char uplo, int n, double *dap, double *tau, dou-
ble *q, int ldq, int *info) ;
PURPOSE
DOPGTR generates a real orthogonal matrix Q which is defined
as the product of n-1 elementary reflectors H(i) of order n,
as returned by DSPTRD 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 DSPTRD; = 'L': Lower triangular
packed storage used in previous call to DSPTRD.
N (input) INTEGER
The order of the matrix Q. N >= 0.
AP (input) DOUBLE PRECISION array, dimension
(N*(N+1)/2)
The vectors which define the elementary reflec-
tors, as returned by DSPTRD.
TAU (input) DOUBLE PRECISION array, dimension (N-1)
TAU(i) must contain the scalar factor of the ele-
mentary reflector H(i), as returned by DSPTRD.
Q (output) DOUBLE PRECISION array, dimension (LDQ,N)
The N-by-N orthogonal matrix Q.
LDQ (input) INTEGER
The leading dimension of the array Q. LDQ >=
max(1,N).
WORK (workspace) DOUBLE PRECISION array, dimension (N-
1)
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an ille-
gal value
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