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author | julie <julielangou@users.noreply.github.com> | 2011-10-06 06:53:11 +0000 |
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committer | julie <julielangou@users.noreply.github.com> | 2011-10-06 06:53:11 +0000 |
commit | e1d39294aee16fa6db9ba079b14442358217db71 (patch) | |
tree | 30e5aa04c1f6596991fda5334f63dfb9b8027849 /TESTING/LIN/ztbt02.f | |
parent | 5fe0466a14e395641f4f8a300ecc9dcb8058081b (diff) | |
download | lapack-e1d39294aee16fa6db9ba079b14442358217db71.tar.gz lapack-e1d39294aee16fa6db9ba079b14442358217db71.tar.bz2 lapack-e1d39294aee16fa6db9ba079b14442358217db71.zip |
Integrating Doxygen in comments
Diffstat (limited to 'TESTING/LIN/ztbt02.f')
-rw-r--r-- | TESTING/LIN/ztbt02.f | 241 |
1 files changed, 165 insertions, 76 deletions
diff --git a/TESTING/LIN/ztbt02.f b/TESTING/LIN/ztbt02.f index 0dfe605b..6866235a 100644 --- a/TESTING/LIN/ztbt02.f +++ b/TESTING/LIN/ztbt02.f @@ -1,9 +1,172 @@ +*> \brief \b ZTBT02 +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition +* ========== +* +* SUBROUTINE ZTBT02( UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, X, +* LDX, B, LDB, WORK, RWORK, RESID ) +* +* .. Scalar Arguments .. +* CHARACTER DIAG, TRANS, UPLO +* INTEGER KD, LDAB, LDB, LDX, N, NRHS +* DOUBLE PRECISION RESID +* .. +* .. Array Arguments .. +* DOUBLE PRECISION RWORK( * ) +* COMPLEX*16 AB( LDAB, * ), B( LDB, * ), WORK( * ), +* $ X( LDX, * ) +* .. +* +* Purpose +* ======= +* +*>\details \b Purpose: +*>\verbatim +*> +*> ZTBT02 computes the residual for the computed solution to a +*> triangular system of linear equations A*x = b, A**T *x = b, or +*> A**H *x = b when A is a triangular band matrix. Here A**T denotes +*> the transpose of A, A**H denotes the conjugate transpose of A, and +*> x and b are N by NRHS matrices. The test ratio is the maximum over +*> the number of right hand sides of +*> norm(b - op(A)*x) / ( norm(op(A)) * norm(x) * EPS ), +*> where op(A) denotes A, A**T, or A**H, and EPS is the machine epsilon. +*> +*>\endverbatim +* +* Arguments +* ========= +* +*> \param[in] UPLO +*> \verbatim +*> UPLO is CHARACTER*1 +*> Specifies whether the matrix A is upper or lower triangular. +*> = 'U': Upper triangular +*> = 'L': Lower triangular +*> \endverbatim +*> +*> \param[in] TRANS +*> \verbatim +*> TRANS is CHARACTER*1 +*> Specifies the operation applied to A. +*> = 'N': A *x = b (No transpose) +*> = 'T': A**T *x = b (Transpose) +*> = 'C': A**H *x = b (Conjugate transpose) +*> \endverbatim +*> +*> \param[in] DIAG +*> \verbatim +*> DIAG is CHARACTER*1 +*> Specifies whether or not the matrix A is unit triangular. +*> = 'N': Non-unit triangular +*> = 'U': Unit triangular +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. +*> \endverbatim +*> +*> \param[in] KD +*> \verbatim +*> KD is INTEGER +*> The number of superdiagonals or subdiagonals of the +*> triangular band matrix A. KD >= 0. +*> \endverbatim +*> +*> \param[in] NRHS +*> \verbatim +*> NRHS is INTEGER +*> The number of right hand sides, i.e., the number of columns +*> of the matrices X and B. NRHS >= 0. +*> \endverbatim +*> +*> \param[in] AB +*> \verbatim +*> AB is COMPLEX*16 array, dimension (LDA,N) +*> The upper or lower triangular band matrix A, stored in the +*> first kd+1 rows of the array. The j-th column of A is stored +*> in the j-th column of the array AB as follows: +*> if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; +*> if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). +*> \endverbatim +*> +*> \param[in] LDAB +*> \verbatim +*> LDAB is INTEGER +*> The leading dimension of the array AB. LDAB >= max(1,KD+1). +*> \endverbatim +*> +*> \param[in] X +*> \verbatim +*> X is COMPLEX*16 array, dimension (LDX,NRHS) +*> The computed solution vectors for the system of linear +*> equations. +*> \endverbatim +*> +*> \param[in] LDX +*> \verbatim +*> LDX is INTEGER +*> The leading dimension of the array X. LDX >= max(1,N). +*> \endverbatim +*> +*> \param[in] B +*> \verbatim +*> B is COMPLEX*16 array, dimension (LDB,NRHS) +*> The right hand side vectors for the system of linear +*> equations. +*> \endverbatim +*> +*> \param[in] LDB +*> \verbatim +*> LDB is INTEGER +*> The leading dimension of the array B. LDB >= max(1,N). +*> \endverbatim +*> +*> \param[out] WORK +*> \verbatim +*> WORK is COMPLEX*16 array, dimension (N) +*> \endverbatim +*> +*> \param[out] RWORK +*> \verbatim +*> RWORK is DOUBLE PRECISION array, dimension (N) +*> \endverbatim +*> +*> \param[out] RESID +*> \verbatim +*> RESID is DOUBLE PRECISION +*> The maximum over the number of right hand sides of +*> norm(op(A)*x - b) / ( norm(op(A)) * norm(x) * EPS ). +*> \endverbatim +*> +* +* Authors +* ======= +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16_lin +* +* ===================================================================== SUBROUTINE ZTBT02( UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, X, $ LDX, B, LDB, WORK, RWORK, RESID ) * * -- LAPACK test routine (version 3.1) -- -* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. -* November 2006 +* -- LAPACK is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* November 2011 * * .. Scalar Arguments .. CHARACTER DIAG, TRANS, UPLO @@ -16,80 +179,6 @@ $ X( LDX, * ) * .. * -* Purpose -* ======= -* -* ZTBT02 computes the residual for the computed solution to a -* triangular system of linear equations A*x = b, A**T *x = b, or -* A**H *x = b when A is a triangular band matrix. Here A**T denotes -* the transpose of A, A**H denotes the conjugate transpose of A, and -* x and b are N by NRHS matrices. The test ratio is the maximum over -* the number of right hand sides of -* norm(b - op(A)*x) / ( norm(op(A)) * norm(x) * EPS ), -* where op(A) denotes A, A**T, or A**H, and EPS is the machine epsilon. -* -* Arguments -* ========= -* -* UPLO (input) CHARACTER*1 -* Specifies whether the matrix A is upper or lower triangular. -* = 'U': Upper triangular -* = 'L': Lower triangular -* -* TRANS (input) CHARACTER*1 -* Specifies the operation applied to A. -* = 'N': A *x = b (No transpose) -* = 'T': A**T *x = b (Transpose) -* = 'C': A**H *x = b (Conjugate transpose) -* -* DIAG (input) CHARACTER*1 -* Specifies whether or not the matrix A is unit triangular. -* = 'N': Non-unit triangular -* = 'U': Unit triangular -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. -* -* KD (input) INTEGER -* The number of superdiagonals or subdiagonals of the -* triangular band matrix A. KD >= 0. -* -* NRHS (input) INTEGER -* The number of right hand sides, i.e., the number of columns -* of the matrices X and B. NRHS >= 0. -* -* AB (input) COMPLEX*16 array, dimension (LDA,N) -* The upper or lower triangular band matrix A, stored in the -* first kd+1 rows of the array. The j-th column of A is stored -* in the j-th column of the array AB as follows: -* if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; -* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). -* -* LDAB (input) INTEGER -* The leading dimension of the array AB. LDAB >= max(1,KD+1). -* -* X (input) COMPLEX*16 array, dimension (LDX,NRHS) -* The computed solution vectors for the system of linear -* equations. -* -* LDX (input) INTEGER -* The leading dimension of the array X. LDX >= max(1,N). -* -* B (input) COMPLEX*16 array, dimension (LDB,NRHS) -* The right hand side vectors for the system of linear -* equations. -* -* LDB (input) INTEGER -* The leading dimension of the array B. LDB >= max(1,N). -* -* WORK (workspace) COMPLEX*16 array, dimension (N) -* -* RWORK (workspace) DOUBLE PRECISION array, dimension (N) -* -* RESID (output) DOUBLE PRECISION -* The maximum over the number of right hand sides of -* norm(op(A)*x - b) / ( norm(op(A)) * norm(x) * EPS ). -* * ===================================================================== * * .. Parameters .. |