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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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- DOUBLE PRECISION FUNCTION DLANTB( NORM, UPLO, DIAG, N, K, AB,
- $ LDAB, WORK )
+*> \brief \b DLANTB
*
-* -- LAPACK auxiliary routine (version 3.2) --
-* -- LAPACK is a software package provided by Univ. of Tennessee, --
-* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* =========== DOCUMENTATION ===========
*
-* .. Scalar Arguments ..
- CHARACTER DIAG, NORM, UPLO
- INTEGER K, LDAB, N
-* ..
-* .. Array Arguments ..
- DOUBLE PRECISION AB( LDAB, * ), WORK( * )
-* ..
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
+* Definition
+* ==========
+*
+* DOUBLE PRECISION FUNCTION DLANTB( NORM, UPLO, DIAG, N, K, AB,
+* LDAB, WORK )
+*
+* .. Scalar Arguments ..
+* CHARACTER DIAG, NORM, UPLO
+* INTEGER K, LDAB, N
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION AB( LDAB, * ), WORK( * )
+* ..
+*
* Purpose
* =======
*
-* DLANTB returns the value of the one norm, or the Frobenius norm, or
-* the infinity norm, or the element of largest absolute value of an
-* n by n triangular band matrix A, with ( k + 1 ) diagonals.
-*
-* Description
-* ===========
-*
-* DLANTB returns the value
-*
-* DLANTB = ( max(abs(A(i,j))), NORM = 'M' or 'm'
-* (
-* ( norm1(A), NORM = '1', 'O' or 'o'
-* (
-* ( normI(A), NORM = 'I' or 'i'
-* (
-* ( normF(A), NORM = 'F', 'f', 'E' or 'e'
-*
-* where norm1 denotes the one norm of a matrix (maximum column sum),
-* normI denotes the infinity norm of a matrix (maximum row sum) and
-* normF denotes the Frobenius norm of a matrix (square root of sum of
-* squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> DLANTB returns the value of the one norm, or the Frobenius norm, or
+*> the infinity norm, or the element of largest absolute value of an
+*> n by n triangular band matrix A, with ( k + 1 ) diagonals.
+*>
+*> Description
+*> ===========
+*>
+*> DLANTB returns the value
+*>
+*> DLANTB = ( max(abs(A(i,j))), NORM = 'M' or 'm'
+*> (
+*> ( norm1(A), NORM = '1', 'O' or 'o'
+*> (
+*> ( normI(A), NORM = 'I' or 'i'
+*> (
+*> ( normF(A), NORM = 'F', 'f', 'E' or 'e'
+*>
+*> where norm1 denotes the one norm of a matrix (maximum column sum),
+*> normI denotes the infinity norm of a matrix (maximum row sum) and
+*> normF denotes the Frobenius norm of a matrix (square root of sum of
+*> squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
+*>
+*>\endverbatim
*
* Arguments
* =========
*
-* NORM (input) CHARACTER*1
-* Specifies the value to be returned in DLANTB as described
-* above.
+*> \param[in] NORM
+*> \verbatim
+*> NORM is CHARACTER*1
+*> Specifies the value to be returned in DLANTB as described
+*> above.
+*> \endverbatim
+*>
+*> \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] 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. When N = 0, DLANTB is
+*> set to zero.
+*> \endverbatim
+*>
+*> \param[in] K
+*> \verbatim
+*> K is INTEGER
+*> The number of super-diagonals of the matrix A if UPLO = 'U',
+*> or the number of sub-diagonals of the matrix A if UPLO = 'L'.
+*> K >= 0.
+*> \endverbatim
+*>
+*> \param[in] AB
+*> \verbatim
+*> AB is DOUBLE PRECISION array, dimension (LDAB,N)
+*> The upper or lower triangular band matrix A, stored in the
+*> first k+1 rows of AB. The j-th column of A is stored
+*> in the j-th column of the array AB as follows:
+*> if UPLO = 'U', AB(k+1+i-j,j) = A(i,j) for max(1,j-k)<=i<=j;
+*> if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+k).
+*> Note that when DIAG = 'U', the elements of the array AB
+*> corresponding to the diagonal elements of the matrix A are
+*> not referenced, but are assumed to be one.
+*> \endverbatim
+*>
+*> \param[in] LDAB
+*> \verbatim
+*> LDAB is INTEGER
+*> The leading dimension of the array AB. LDAB >= K+1.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
+*> where LWORK >= N when NORM = 'I'; otherwise, WORK is not
+*> referenced.
+*> \endverbatim
+*>
*
-* UPLO (input) CHARACTER*1
-* Specifies whether the matrix A is upper or lower triangular.
-* = 'U': Upper triangular
-* = 'L': Lower triangular
+* Authors
+* =======
*
-* DIAG (input) CHARACTER*1
-* Specifies whether or not the matrix A is unit triangular.
-* = 'N': Non-unit triangular
-* = 'U': Unit triangular
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-* N (input) INTEGER
-* The order of the matrix A. N >= 0. When N = 0, DLANTB is
-* set to zero.
+*> \date November 2011
*
-* K (input) INTEGER
-* The number of super-diagonals of the matrix A if UPLO = 'U',
-* or the number of sub-diagonals of the matrix A if UPLO = 'L'.
-* K >= 0.
+*> \ingroup doubleOTHERauxiliary
*
-* AB (input) DOUBLE PRECISION array, dimension (LDAB,N)
-* The upper or lower triangular band matrix A, stored in the
-* first k+1 rows of AB. The j-th column of A is stored
-* in the j-th column of the array AB as follows:
-* if UPLO = 'U', AB(k+1+i-j,j) = A(i,j) for max(1,j-k)<=i<=j;
-* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+k).
-* Note that when DIAG = 'U', the elements of the array AB
-* corresponding to the diagonal elements of the matrix A are
-* not referenced, but are assumed to be one.
+* =====================================================================
+ DOUBLE PRECISION FUNCTION DLANTB( NORM, UPLO, DIAG, N, K, AB,
+ $ LDAB, WORK )
*
-* LDAB (input) INTEGER
-* The leading dimension of the array AB. LDAB >= K+1.
+* -- LAPACK auxiliary routine (version 3.2) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* November 2011
*
-* WORK (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
-* where LWORK >= N when NORM = 'I'; otherwise, WORK is not
-* referenced.
+* .. Scalar Arguments ..
+ CHARACTER DIAG, NORM, UPLO
+ INTEGER K, LDAB, N
+* ..
+* .. Array Arguments ..
+ DOUBLE PRECISION AB( LDAB, * ), WORK( * )
+* ..
*
* =====================================================================
*