--- rpl/lapack/lapack/zupgtr.f 2010/12/21 13:53:59 1.7 +++ rpl/lapack/lapack/zupgtr.f 2011/11/21 20:43:24 1.8 @@ -1,9 +1,123 @@ +*> \brief \b ZUPGTR +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZUPGTR + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZUPGTR( UPLO, N, AP, TAU, Q, LDQ, WORK, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER INFO, LDQ, N +* .. +* .. Array Arguments .. +* COMPLEX*16 AP( * ), Q( LDQ, * ), TAU( * ), WORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> 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). +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] UPLO +*> \verbatim +*> 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. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix Q. N >= 0. +*> \endverbatim +*> +*> \param[in] AP +*> \verbatim +*> AP is COMPLEX*16 array, dimension (N*(N+1)/2) +*> The vectors which define the elementary reflectors, as +*> returned by ZHPTRD. +*> \endverbatim +*> +*> \param[in] TAU +*> \verbatim +*> 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. +*> \endverbatim +*> +*> \param[out] Q +*> \verbatim +*> Q is COMPLEX*16 array, dimension (LDQ,N) +*> The N-by-N unitary matrix Q. +*> \endverbatim +*> +*> \param[in] LDQ +*> \verbatim +*> LDQ is INTEGER +*> The leading dimension of the array Q. LDQ >= max(1,N). +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is COMPLEX*16 array, dimension (N-1) +*> \endverbatim +*> +*> \param[out] INFO +*> \verbatim +*> INFO is INTEGER +*> = 0: successful exit +*> < 0: if INFO = -i, the i-th argument had an illegal value +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16OTHERcomputational +* +* ===================================================================== SUBROUTINE ZUPGTR( UPLO, N, AP, TAU, Q, LDQ, WORK, INFO ) * -* -- LAPACK routine (version 3.2) -- +* -- LAPACK computational routine (version 3.4.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2006 +* November 2011 * * .. Scalar Arguments .. CHARACTER UPLO @@ -13,49 +127,6 @@ 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 -* * ===================================================================== * * .. Parameters ..