Name

HPL_dlange Compute ||A||.

Synopsis

#include <hpl.h>

double HPL_dlange( const HPL_T_NORM NORM, const int M, const int N, const double * A, const int LDA );

Description

HPL_dlange returns the value of the one norm, or the infinity norm, or the element of largest absolute value of a matrix A: max(abs(A(i,j))) when NORM = HPL_NORM_A, norm1(A), when NORM = HPL_NORM_1, normI(A), when NORM = HPL_NORM_I, where norm1 denotes the one norm of a matrix (maximum column sum) and normI denotes the infinity norm of a matrix (maximum row sum). Note that max(abs(A(i,j))) is not a matrix norm.

Arguments

NORM    (local input)                 const HPL_T_NORM
        On entry,  NORM  specifies  the  value to be returned by this
        function as described above.

M       (local input)                 const int
        On entry,  M  specifies  the number  of rows of the matrix A.
        M must be at least zero.

N       (local input)                 const int
        On entry,  N specifies the number of columns of the matrix A.
        N must be at least zero.

A       (local input)                 const double *
        On entry,  A  points to an  array of dimension  (LDA,N), that
        contains the matrix A.

LDA     (local input)                 const int
        On entry, LDA specifies the leading dimension of the array A.
        LDA must be at least max(1,M).

Example

#include <hpl.h>

int main(int argc, char *argv[])
{
   double a[2*2];
   a[0] = 1.0; a[1] = 3.0; a[2] = 2.0; a[3] = 4.0;
   norm = HPL_dlange( HPL_NORM_I, 2, 2, a, 2 );
   printf("norm=%f", norm);
   exit(0);
   return(0);
}

See Also

HPL_dlaprnt, HPL_fprintf