dlantb man page on Scientific

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DLANTB(1)	    LAPACK auxiliary routine (version 3.2)	     DLANTB(1)

NAME
       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

SYNOPSIS
       DOUBLE PRECISION FUNCTION  DLANTB(  NORM,  UPLO,	 DIAG, N, K, AB, LDAB,
			WORK )

	   CHARACTER	DIAG, NORM, UPLO

	   INTEGER	K, LDAB, N

	   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.

ARGUMENTS
       NORM    (input) CHARACTER*1
	       Specifies  the  value  to  be  returned	in DLANTB as described
	       above.

       UPLO    (input) CHARACTER*1
	       Specifies whether the matrix A is upper or lower triangular.  =
	       'U':  Upper triangular
	       = 'L':  Lower triangular

       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.  When N = 0, DLANTB is  set
	       to zero.

       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.

       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.

       LDAB    (input) INTEGER
	       The leading dimension of the array AB.  LDAB >= K+1.

       WORK    (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
	       where LWORK >= N when NORM = 'I'; otherwise, WORK is not referÔÇÉ
	       enced.

 LAPACK auxiliary routine (versioNovember 2008			     DLANTB(1)
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