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RedHat 9 (Linux i386) - man page for slantb (redhat section l)

SLANTB(l)					)					SLANTB(l)

NAME
       SLANTB - return 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
       REAL FUNCTION SLANTB( NORM, UPLO, DIAG, N, K, AB, LDAB, WORK )

	   CHARACTER DIAG, NORM, UPLO

	   INTEGER   K, LDAB, N

	   REAL      AB( LDAB, * ), WORK( * )

PURPOSE
       SLANTB  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
       SLANTB returns the value

	  SLANTB = ( 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  matrix
       norm.

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

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

       DIAG    (input) CHARACTER*1
	       Specifies whether or not the matrix A is unit triangular.  = 'N':  Non-unit trian-
	       gular
	       = 'U':  Unit triangular

       N       (input) INTEGER
	       The order of the matrix A.  N >= 0.  When N = 0, SLANTB 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) REAL 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 refer-
	       enced, but are assumed to be one.

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

       WORK    (workspace) REAL array, dimension (LWORK),
	       where LWORK >= N when NORM = 'I'; otherwise, WORK is not referenced.

LAPACK version 3.0			   15 June 2000 				SLANTB(l)


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