NAME

       sopgtr.f -

SYNOPSIS

   Functions/Subroutines
       subroutine sopgtr (UPLO, N, AP, TAU, Q, LDQ, WORK, INFO)
           SOPGTR

Function/Subroutine Documentation

   subroutine sopgtr (character UPLO, integer N, real, dimension( * ) AP, real, dimension( * )
       TAU, real, dimension( ldq, * ) Q, integer LDQ, real, dimension( * ) WORK, integer INFO)
       SOPGTR

       Purpose:

            SOPGTR 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
            SSPTRD 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 SSPTRD;
                     = 'L': Lower triangular packed storage used in previous
                            call to SSPTRD.

           N

                     N is INTEGER
                     The order of the matrix Q. N >= 0.

           AP

                     AP is REAL array, dimension (N*(N+1)/2)
                     The vectors which define the elementary reflectors, as
                     returned by SSPTRD.

           TAU

                     TAU is REAL array, dimension (N-1)
                     TAU(i) must contain the scalar factor of the elementary
                     reflector H(i), as returned by SSPTRD.

           Q

                     Q is REAL array, dimension (LDQ,N)
                     The N-by-N orthogonal matrix Q.

           LDQ

                     LDQ is INTEGER
                     The leading dimension of the array Q. LDQ >= max(1,N).

           WORK

                     WORK is REAL 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

Author

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