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NAME

       LAPACK-3 - returns the value of the one norm, or the Frobenius norm, or the infinity norm,
       or the element of largest absolute value of a triangular matrix A, supplied in packed form

SYNOPSIS

       REAL FUNCTION SLANTP( NORM, UPLO, DIAG, N, AP, WORK )

           CHARACTER DIAG, NORM, UPLO

           INTEGER   N

           REAL      AP( * ), WORK( * )

PURPOSE

       SLANTP  returns the value of the one norm,  or the Frobenius norm, or the  infinity  norm,
       or  the   element of  largest absolute value  of a triangular matrix A, supplied in packed
       form.

DESCRIPTION

        SLANTP returns the value
           SLANTP = ( 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 SLANTP 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, SLANTP is
                set to zero.

        AP      (input) REAL array, dimension (N*(N+1)/2)
                The upper or lower triangular matrix A, packed columnwise in
                a linear array.  The j-th column of A is stored in the array
                AP as follows:
                if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
                if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
                Note that when DIAG = 'U', the elements of the array AP
                corresponding to the diagonal elements of the matrix A are
                not referenced, but are assumed to be one.

        WORK    (workspace) REAL array, dimension (MAX(1,LWORK)),
                where LWORK >= N when NORM = 'I'; otherwise, WORK is not
                referenced.

 LAPACK auxiliary routine (version 3.2)     April 2011                            SLANTP(3lapack)