SRC/cupgtr.f(3) Library Functions Manual SRC/cupgtr.f(3)

SRC/cupgtr.f


subroutine cupgtr (uplo, n, ap, tau, q, ldq, work, info)
CUPGTR

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.

Definition at line 113 of file cupgtr.f.

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