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HPL_pdlange(3) HPL Library Functions HPL_pdlange(3)

HPL_pdlange - Compute ||A||.

#include "hpl.h"
double HPL_pdlange( const HPL_T_grid * GRID, const HPL_T_NORM NORM, const int M, const int N, const int NB, const double * A, const int LDA );

HPL_pdlange returns the value of the one norm, or the infinity norm, or the element of largest absolute value of a distributed 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.

GRID (local input) const HPL_T_grid *
On entry, GRID points to the data structure containing the process grid information.
NORM (global input) const HPL_T_NORM
On entry, NORM specifies the value to be returned by this function as described above.
M (global input) const int
On entry, M specifies the number of rows of the matrix A. M must be at least zero.
N (global input) const int
On entry, N specifies the number of columns of the matrix A. N must be at least zero.
NB (global input) const int
On entry, NB specifies the blocking factor used to partition and distribute the matrix. NB must be larger than one.
A (local input) const double *
On entry, A points to an array of dimension (LDA,LocQ(N)), that contains the local pieces of the distributed 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,LocP(M)).

HPL_pdlaprnt (3), HPL_fprintf (3).
February 24, 2016 HPL 2.2

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