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---
:name: dlantb
:md5sum: e69b4aec54ed535659db6b5c4040807d
:category: :function
:type: doublereal
:arguments:
- norm:
:type: char
:intent: input
- uplo:
:type: char
:intent: input
- diag:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- k:
:type: integer
:intent: input
- ab:
:type: doublereal
:intent: input
:dims:
- ldab
- n
- ldab:
:type: integer
:intent: input
- work:
:type: doublereal
:intent: workspace
:dims:
- MAX(1,lwork)
:substitutions:
lwork: "lsame_(&norm,\"I\") ? n : 0"
:fortran_help: " DOUBLE PRECISION FUNCTION DLANTB( NORM, UPLO, DIAG, N, K, AB, LDAB, WORK )\n\n\
* Purpose\n\
* =======\n\
*\n\
* DLANTB returns the value of the one norm, or the Frobenius norm, or\n\
* the infinity norm, or the element of largest absolute value of an\n\
* n by n triangular band matrix A, with ( k + 1 ) diagonals.\n\
*\n\
* Description\n\
* ===========\n\
*\n\
* DLANTB returns the value\n\
*\n\
* DLANTB = ( max(abs(A(i,j))), NORM = 'M' or 'm'\n\
* (\n\
* ( norm1(A), NORM = '1', 'O' or 'o'\n\
* (\n\
* ( normI(A), NORM = 'I' or 'i'\n\
* (\n\
* ( normF(A), NORM = 'F', 'f', 'E' or 'e'\n\
*\n\
* where norm1 denotes the one norm of a matrix (maximum column sum),\n\
* normI denotes the infinity norm of a matrix (maximum row sum) and\n\
* normF denotes the Frobenius norm of a matrix (square root of sum of\n\
* squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* NORM (input) CHARACTER*1\n\
* Specifies the value to be returned in DLANTB as described\n\
* above.\n\
*\n\
* UPLO (input) CHARACTER*1\n\
* Specifies whether the matrix A is upper or lower triangular.\n\
* = 'U': Upper triangular\n\
* = 'L': Lower triangular\n\
*\n\
* DIAG (input) CHARACTER*1\n\
* Specifies whether or not the matrix A is unit triangular.\n\
* = 'N': Non-unit triangular\n\
* = 'U': Unit triangular\n\
*\n\
* N (input) INTEGER\n\
* The order of the matrix A. N >= 0. When N = 0, DLANTB is\n\
* set to zero.\n\
*\n\
* K (input) INTEGER\n\
* The number of super-diagonals of the matrix A if UPLO = 'U',\n\
* or the number of sub-diagonals of the matrix A if UPLO = 'L'.\n\
* K >= 0.\n\
*\n\
* AB (input) DOUBLE PRECISION array, dimension (LDAB,N)\n\
* The upper or lower triangular band matrix A, stored in the\n\
* first k+1 rows of AB. The j-th column of A is stored\n\
* in the j-th column of the array AB as follows:\n\
* if UPLO = 'U', AB(k+1+i-j,j) = A(i,j) for max(1,j-k)<=i<=j;\n\
* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+k).\n\
* Note that when DIAG = 'U', the elements of the array AB\n\
* corresponding to the diagonal elements of the matrix A are\n\
* not referenced, but are assumed to be one.\n\
*\n\
* LDAB (input) INTEGER\n\
* The leading dimension of the array AB. LDAB >= K+1.\n\
*\n\
* WORK (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)),\n\
* where LWORK >= N when NORM = 'I'; otherwise, WORK is not\n\
* referenced.\n\
*\n\n\
* =====================================================================\n\
*\n"
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