--- rpl/lapack/lapack/zungtr.f 2010/12/21 13:53:58 1.7 +++ rpl/lapack/lapack/zungtr.f 2011/11/21 20:43:24 1.8 @@ -1,9 +1,132 @@ +*> \brief \b ZUNGTR +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZUNGTR + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZUNGTR( UPLO, N, A, LDA, TAU, WORK, LWORK, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER UPLO +* INTEGER INFO, LDA, LWORK, N +* .. +* .. Array Arguments .. +* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZUNGTR generates a complex unitary matrix Q which is defined as the +*> product of n-1 elementary reflectors of order N, as returned by +*> ZHETRD: +*> +*> 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 triangle of A contains elementary reflectors +*> from ZHETRD; +*> = 'L': Lower triangle of A contains elementary reflectors +*> from ZHETRD. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix Q. N >= 0. +*> \endverbatim +*> +*> \param[in,out] A +*> \verbatim +*> A is COMPLEX*16 array, dimension (LDA,N) +*> On entry, the vectors which define the elementary reflectors, +*> as returned by ZHETRD. +*> On exit, the N-by-N unitary matrix Q. +*> \endverbatim +*> +*> \param[in] LDA +*> \verbatim +*> LDA is INTEGER +*> The leading dimension of the array A. LDA >= N. +*> \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 ZHETRD. +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is COMPLEX*16 array, dimension (MAX(1,LWORK)) +*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK. +*> \endverbatim +*> +*> \param[in] LWORK +*> \verbatim +*> LWORK is INTEGER +*> The dimension of the array WORK. LWORK >= N-1. +*> For optimum performance LWORK >= (N-1)*NB, where NB is +*> the optimal blocksize. +*> +*> If LWORK = -1, then a workspace query is assumed; the routine +*> only calculates the optimal size of the WORK array, returns +*> this value as the first entry of the WORK array, and no error +*> message related to LWORK is issued by XERBLA. +*> \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 ZUNGTR( UPLO, N, A, LDA, TAU, WORK, LWORK, 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 @@ -13,58 +136,6 @@ COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * ) * .. * -* Purpose -* ======= -* -* ZUNGTR generates a complex unitary matrix Q which is defined as the -* product of n-1 elementary reflectors of order N, as returned by -* ZHETRD: -* -* 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 triangle of A contains elementary reflectors -* from ZHETRD; -* = 'L': Lower triangle of A contains elementary reflectors -* from ZHETRD. -* -* N (input) INTEGER -* The order of the matrix Q. N >= 0. -* -* A (input/output) COMPLEX*16 array, dimension (LDA,N) -* On entry, the vectors which define the elementary reflectors, -* as returned by ZHETRD. -* On exit, the N-by-N unitary matrix Q. -* -* LDA (input) INTEGER -* The leading dimension of the array A. LDA >= N. -* -* TAU (input) COMPLEX*16 array, dimension (N-1) -* TAU(i) must contain the scalar factor of the elementary -* reflector H(i), as returned by ZHETRD. -* -* WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK)) -* On exit, if INFO = 0, WORK(1) returns the optimal LWORK. -* -* LWORK (input) INTEGER -* The dimension of the array WORK. LWORK >= N-1. -* For optimum performance LWORK >= (N-1)*NB, where NB is -* the optimal blocksize. -* -* If LWORK = -1, then a workspace query is assumed; the routine -* only calculates the optimal size of the WORK array, returns -* this value as the first entry of the WORK array, and no error -* message related to LWORK is issued by XERBLA. -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* * ===================================================================== * * .. Parameters ..