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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 SSTT22( N, M, KBAND, AD, AE, SD, SE, U, LDU, WORK,
- $ LDWORK, RESULT )
-*
-* -- LAPACK test routine (version 3.1) --
-* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-* November 2006
-*
-* .. Scalar Arguments ..
- INTEGER KBAND, LDU, LDWORK, M, N
-* ..
-* .. Array Arguments ..
- REAL AD( * ), AE( * ), RESULT( 2 ), SD( * ),
- $ SE( * ), U( LDU, * ), WORK( LDWORK, * )
-* ..
-*
+*> \brief \b SSTT22
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+* Definition
+* ==========
+*
+* SUBROUTINE SSTT22( N, M, KBAND, AD, AE, SD, SE, U, LDU, WORK,
+* LDWORK, RESULT )
+*
+* .. Scalar Arguments ..
+* INTEGER KBAND, LDU, LDWORK, M, N
+* ..
+* .. Array Arguments ..
+* REAL AD( * ), AE( * ), RESULT( 2 ), SD( * ),
+* $ SE( * ), U( LDU, * ), WORK( LDWORK, * )
+* ..
+*
* Purpose
* =======
*
-* SSTT22 checks a set of M eigenvalues and eigenvectors,
-*
-* A U = U S
-*
-* where A is symmetric tridiagonal, the columns of U are orthogonal,
-* and S is diagonal (if KBAND=0) or symmetric tridiagonal (if KBAND=1).
-* Two tests are performed:
-*
-* RESULT(1) = | U' A U - S | / ( |A| m ulp )
-*
-* RESULT(2) = | I - U'U | / ( m ulp )
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> SSTT22 checks a set of M eigenvalues and eigenvectors,
+*>
+*> A U = U S
+*>
+*> where A is symmetric tridiagonal, the columns of U are orthogonal,
+*> and S is diagonal (if KBAND=0) or symmetric tridiagonal (if KBAND=1).
+*> Two tests are performed:
+*>
+*> RESULT(1) = | U' A U - S | / ( |A| m ulp )
+*>
+*> RESULT(2) = | I - U'U | / ( m ulp )
+*>
+*>\endverbatim
*
* Arguments
* =========
*
-* N (input) INTEGER
-* The size of the matrix. If it is zero, SSTT22 does nothing.
-* It must be at least zero.
-*
-* M (input) INTEGER
-* The number of eigenpairs to check. If it is zero, SSTT22
-* does nothing. It must be at least zero.
-*
-* KBAND (input) INTEGER
-* The bandwidth of the matrix S. It may only be zero or one.
-* If zero, then S is diagonal, and SE is not referenced. If
-* one, then S is symmetric tri-diagonal.
-*
-* AD (input) REAL array, dimension (N)
-* The diagonal of the original (unfactored) matrix A. A is
-* assumed to be symmetric tridiagonal.
-*
-* AE (input) REAL array, dimension (N)
-* The off-diagonal of the original (unfactored) matrix A. A
-* is assumed to be symmetric tridiagonal. AE(1) is ignored,
-* AE(2) is the (1,2) and (2,1) element, etc.
-*
-* SD (input) REAL array, dimension (N)
-* The diagonal of the (symmetric tri-) diagonal matrix S.
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The size of the matrix. If it is zero, SSTT22 does nothing.
+*> It must be at least zero.
+*> \endverbatim
+*>
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> The number of eigenpairs to check. If it is zero, SSTT22
+*> does nothing. It must be at least zero.
+*> \endverbatim
+*>
+*> \param[in] KBAND
+*> \verbatim
+*> KBAND is INTEGER
+*> The bandwidth of the matrix S. It may only be zero or one.
+*> If zero, then S is diagonal, and SE is not referenced. If
+*> one, then S is symmetric tri-diagonal.
+*> \endverbatim
+*>
+*> \param[in] AD
+*> \verbatim
+*> AD is REAL array, dimension (N)
+*> The diagonal of the original (unfactored) matrix A. A is
+*> assumed to be symmetric tridiagonal.
+*> \endverbatim
+*>
+*> \param[in] AE
+*> \verbatim
+*> AE is REAL array, dimension (N)
+*> The off-diagonal of the original (unfactored) matrix A. A
+*> is assumed to be symmetric tridiagonal. AE(1) is ignored,
+*> AE(2) is the (1,2) and (2,1) element, etc.
+*> \endverbatim
+*>
+*> \param[in] SD
+*> \verbatim
+*> SD is REAL array, dimension (N)
+*> The diagonal of the (symmetric tri-) diagonal matrix S.
+*> \endverbatim
+*>
+*> \param[in] SE
+*> \verbatim
+*> SE is REAL array, dimension (N)
+*> The off-diagonal of the (symmetric tri-) diagonal matrix S.
+*> Not referenced if KBSND=0. If KBAND=1, then AE(1) is
+*> ignored, SE(2) is the (1,2) and (2,1) element, etc.
+*> \endverbatim
+*>
+*> \param[in] U
+*> \verbatim
+*> U is REAL array, dimension (LDU, N)
+*> The orthogonal matrix in the decomposition.
+*> \endverbatim
+*>
+*> \param[in] LDU
+*> \verbatim
+*> LDU is INTEGER
+*> The leading dimension of U. LDU must be at least N.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is REAL array, dimension (LDWORK, M+1)
+*> \endverbatim
+*>
+*> \param[in] LDWORK
+*> \verbatim
+*> LDWORK is INTEGER
+*> The leading dimension of WORK. LDWORK must be at least
+*> max(1,M).
+*> \endverbatim
+*>
+*> \param[out] RESULT
+*> \verbatim
+*> RESULT is REAL array, dimension (2)
+*> The values computed by the two tests described above. The
+*> values are currently limited to 1/ulp, to avoid overflow.
+*> \endverbatim
+*>
+*
+* Authors
+* =======
*
-* SE (input) REAL array, dimension (N)
-* The off-diagonal of the (symmetric tri-) diagonal matrix S.
-* Not referenced if KBSND=0. If KBAND=1, then AE(1) is
-* ignored, SE(2) is the (1,2) and (2,1) element, etc.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-* U (input) REAL array, dimension (LDU, N)
-* The orthogonal matrix in the decomposition.
+*> \date November 2011
*
-* LDU (input) INTEGER
-* The leading dimension of U. LDU must be at least N.
+*> \ingroup single_eig
*
-* WORK (workspace) REAL array, dimension (LDWORK, M+1)
+* =====================================================================
+ SUBROUTINE SSTT22( N, M, KBAND, AD, AE, SD, SE, U, LDU, WORK,
+ $ LDWORK, RESULT )
*
-* LDWORK (input) INTEGER
-* The leading dimension of WORK. LDWORK must be at least
-* max(1,M).
+* -- LAPACK test routine (version 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
*
-* RESULT (output) REAL array, dimension (2)
-* The values computed by the two tests described above. The
-* values are currently limited to 1/ulp, to avoid overflow.
+* .. Scalar Arguments ..
+ INTEGER KBAND, LDU, LDWORK, M, N
+* ..
+* .. Array Arguments ..
+ REAL AD( * ), AE( * ), RESULT( 2 ), SD( * ),
+ $ SE( * ), U( LDU, * ), WORK( LDWORK, * )
+* ..
*
* =====================================================================
*