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authorjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
committerjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
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- SUBROUTINE STZRZF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
+*> \brief \b STZRZF
*
-* -- LAPACK routine (version 3.3.1) --
-* -- LAPACK is a software package provided by Univ. of Tennessee, --
-* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* -- April 2011 --
-* @generated s
+* =========== DOCUMENTATION ===========
*
-* .. Scalar Arguments ..
- INTEGER INFO, LDA, LWORK, M, N
-* ..
-* .. Array Arguments ..
- REAL A( LDA, * ), TAU( * ), WORK( * )
-* ..
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
+* Definition
+* ==========
+*
+* SUBROUTINE STZRZF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
+*
+* .. Scalar Arguments ..
+* INTEGER INFO, LDA, LWORK, M, N
+* ..
+* .. Array Arguments ..
+* REAL A( LDA, * ), TAU( * ), WORK( * )
+* ..
+*
* Purpose
* =======
*
-* STZRZF reduces the M-by-N ( M<=N ) real upper trapezoidal matrix A
-* to upper triangular form by means of orthogonal transformations.
-*
-* The upper trapezoidal matrix A is factored as
-*
-* A = ( R 0 ) * Z,
-*
-* where Z is an N-by-N orthogonal matrix and R is an M-by-M upper
-* triangular matrix.
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> STZRZF reduces the M-by-N ( M<=N ) real upper trapezoidal matrix A
+*> to upper triangular form by means of orthogonal transformations.
+*>
+*> The upper trapezoidal matrix A is factored as
+*>
+*> A = ( R 0 ) * Z,
+*>
+*> where Z is an N-by-N orthogonal matrix and R is an M-by-M upper
+*> triangular matrix.
+*>
+*>\endverbatim
*
* Arguments
* =========
*
-* M (input) INTEGER
-* The number of rows of the matrix A. M >= 0.
-*
-* N (input) INTEGER
-* The number of columns of the matrix A. N >= M.
-*
-* A (input/output) REAL array, dimension (LDA,N)
-* On entry, the leading M-by-N upper trapezoidal part of the
-* array A must contain the matrix to be factorized.
-* On exit, the leading M-by-M upper triangular part of A
-* contains the upper triangular matrix R, and elements M+1 to
-* N of the first M rows of A, with the array TAU, represent the
-* orthogonal matrix Z as a product of M elementary reflectors.
-*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,M).
-*
-* TAU (output) REAL array, dimension (M)
-* The scalar factors of the elementary reflectors.
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> The number of rows of the matrix A. M >= 0.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of columns of the matrix A. N >= M.
+*> \endverbatim
+*>
+*> \param[in,out] A
+*> \verbatim
+*> A is REAL array, dimension (LDA,N)
+*> On entry, the leading M-by-N upper trapezoidal part of the
+*> array A must contain the matrix to be factorized.
+*> On exit, the leading M-by-M upper triangular part of A
+*> contains the upper triangular matrix R, and elements M+1 to
+*> N of the first M rows of A, with the array TAU, represent the
+*> orthogonal matrix Z as a product of M elementary reflectors.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The leading dimension of the array A. LDA >= max(1,M).
+*> \endverbatim
+*>
+*> \param[out] TAU
+*> \verbatim
+*> TAU is REAL array, dimension (M)
+*> The scalar factors of the elementary reflectors.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is REAL 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 >= max(1,M).
+*> For optimum performance LWORK >= M*NB, where NB is
+*> the optimal blocksize.
+*> \endverbatim
+*> \verbatim
+*> 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
+* =======
*
-* WORK (workspace/output) REAL array, dimension (MAX(1,LWORK))
-* On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-* LWORK (input) INTEGER
-* The dimension of the array WORK. LWORK >= max(1,M).
-* For optimum performance LWORK >= M*NB, where NB is
-* the optimal blocksize.
+*> \date November 2011
*
-* 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.
+*> \ingroup realOTHERcomputational
*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
*
* Further Details
* ===============
+*>\details \b Further \b Details
+*> \verbatim
+*>
+*> Based on contributions by
+*> A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA
+*>
+*> The factorization is obtained by Householder's method. The kth
+*> transformation matrix, Z( k ), which is used to introduce zeros into
+*> the ( m - k + 1 )th row of A, is given in the form
+*>
+*> Z( k ) = ( I 0 ),
+*> ( 0 T( k ) )
+*>
+*> where
+*>
+*> T( k ) = I - tau*u( k )*u( k )**T, u( k ) = ( 1 ),
+*> ( 0 )
+*> ( z( k ) )
+*>
+*> tau is a scalar and z( k ) is an ( n - m ) element vector.
+*> tau and z( k ) are chosen to annihilate the elements of the kth row
+*> of X.
+*>
+*> The scalar tau is returned in the kth element of TAU and the vector
+*> u( k ) in the kth row of A, such that the elements of z( k ) are
+*> in a( k, m + 1 ), ..., a( k, n ). The elements of R are returned in
+*> the upper triangular part of A.
+*>
+*> Z is given by
+*>
+*> Z = Z( 1 ) * Z( 2 ) * ... * Z( m ).
+*>
+*> \endverbatim
+*>
+* =====================================================================
+ SUBROUTINE STZRZF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
*
-* Based on contributions by
-* A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA
-*
-* The factorization is obtained by Householder's method. The kth
-* transformation matrix, Z( k ), which is used to introduce zeros into
-* the ( m - k + 1 )th row of A, is given in the form
-*
-* Z( k ) = ( I 0 ),
-* ( 0 T( k ) )
-*
-* where
-*
-* T( k ) = I - tau*u( k )*u( k )**T, u( k ) = ( 1 ),
-* ( 0 )
-* ( z( k ) )
-*
-* tau is a scalar and z( k ) is an ( n - m ) element vector.
-* tau and z( k ) are chosen to annihilate the elements of the kth row
-* of X.
-*
-* The scalar tau is returned in the kth element of TAU and the vector
-* u( k ) in the kth row of A, such that the elements of z( k ) are
-* in a( k, m + 1 ), ..., a( k, n ). The elements of R are returned in
-* the upper triangular part of A.
-*
-* Z is given by
+* -- LAPACK computational routine (version 3.3.1) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* November 2011
*
-* Z = Z( 1 ) * Z( 2 ) * ... * Z( m ).
+* .. Scalar Arguments ..
+ INTEGER INFO, LDA, LWORK, M, N
+* ..
+* .. Array Arguments ..
+ REAL A( LDA, * ), TAU( * ), WORK( * )
+* ..
*
* =====================================================================
*