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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 /SRC/zlangb.f | |
parent | 5fe0466a14e395641f4f8a300ecc9dcb8058081b (diff) | |
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Integrating Doxygen in comments
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1 files changed, 118 insertions, 56 deletions
diff --git a/SRC/zlangb.f b/SRC/zlangb.f index ce2cf679..276c01b6 100644 --- a/SRC/zlangb.f +++ b/SRC/zlangb.f @@ -1,10 +1,127 @@ +*> \brief \b ZLANGB +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition +* ========== +* +* DOUBLE PRECISION FUNCTION ZLANGB( NORM, N, KL, KU, AB, LDAB, +* WORK ) +* +* .. Scalar Arguments .. +* CHARACTER NORM +* INTEGER KL, KU, LDAB, N +* .. +* .. Array Arguments .. +* DOUBLE PRECISION WORK( * ) +* COMPLEX*16 AB( LDAB, * ) +* .. +* +* Purpose +* ======= +* +*>\details \b Purpose: +*>\verbatim +*> +*> ZLANGB 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 band matrix A, with kl sub-diagonals and ku super-diagonals. +*> +*> Description +*> =========== +*> +*> ZLANGB returns the value +*> +*> ZLANGB = ( 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 +* ========= +* +*> \param[in] NORM +*> \verbatim +*> NORM is CHARACTER*1 +*> Specifies the value to be returned in ZLANGB as described +*> above. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> The order of the matrix A. N >= 0. When N = 0, ZLANGB is +*> set to zero. +*> \endverbatim +*> +*> \param[in] KL +*> \verbatim +*> KL is INTEGER +*> The number of sub-diagonals of the matrix A. KL >= 0. +*> \endverbatim +*> +*> \param[in] KU +*> \verbatim +*> KU is INTEGER +*> The number of super-diagonals of the matrix A. KU >= 0. +*> \endverbatim +*> +*> \param[in] AB +*> \verbatim +*> AB is COMPLEX*16 array, dimension (LDAB,N) +*> The band matrix A, stored in rows 1 to KL+KU+1. The j-th +*> column of A is stored in the j-th column of the array AB as +*> follows: +*> AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(n,j+kl). +*> \endverbatim +*> +*> \param[in] LDAB +*> \verbatim +*> LDAB is INTEGER +*> The leading dimension of the array AB. LDAB >= KL+KU+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 +*> +* +* Authors +* ======= +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16GBauxiliary +* +* ===================================================================== DOUBLE PRECISION FUNCTION ZLANGB( NORM, N, KL, KU, AB, LDAB, $ WORK ) * * -- 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 +* November 2011 * * .. Scalar Arguments .. CHARACTER NORM @@ -15,61 +132,6 @@ COMPLEX*16 AB( LDAB, * ) * .. * -* Purpose -* ======= -* -* ZLANGB 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 band matrix A, with kl sub-diagonals and ku super-diagonals. -* -* Description -* =========== -* -* ZLANGB returns the value -* -* ZLANGB = ( 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. -* -* Arguments -* ========= -* -* NORM (input) CHARACTER*1 -* Specifies the value to be returned in ZLANGB as described -* above. -* -* N (input) INTEGER -* The order of the matrix A. N >= 0. When N = 0, ZLANGB is -* set to zero. -* -* KL (input) INTEGER -* The number of sub-diagonals of the matrix A. KL >= 0. -* -* KU (input) INTEGER -* The number of super-diagonals of the matrix A. KU >= 0. -* -* AB (input) COMPLEX*16 array, dimension (LDAB,N) -* The band matrix A, stored in rows 1 to KL+KU+1. The j-th -* column of A is stored in the j-th column of the array AB as -* follows: -* AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(n,j+kl). -* -* LDAB (input) INTEGER -* The leading dimension of the array AB. LDAB >= KL+KU+1. -* -* WORK (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)), -* where LWORK >= N when NORM = 'I'; otherwise, WORK is not -* referenced. -* * ===================================================================== * * .. Parameters .. |