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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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@@ -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 ..