1HPL_dlange(3) HPL Library Functions HPL_dlange(3)
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6 HPL_dlange - Compute ||A||.
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9 #include "hpl.h"
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11 double HPL_dlange( const HPL_T_NORM NORM, const int M, const int N,
12 const double * A, const int LDA );
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15 HPL_dlange returns the value of the one norm, or the infinity norm,
16 or the element of largest absolute value of a matrix A:
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18 max(abs(A(i,j))) when NORM = HPL_NORM_A,
19 norm1(A), when NORM = HPL_NORM_1,
20 normI(A), when NORM = HPL_NORM_I,
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22 where norm1 denotes the one norm of a matrix (maximum column sum) and
23 normI denotes the infinity norm of a matrix (maximum row sum). Note
24 that max(abs(A(i,j))) is not a matrix norm.
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27 NORM (local input) const HPL_T_NORM
28 On entry, NORM specifies the value to be returned by this
29 function as described above.
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31 M (local input) const int
32 On entry, M specifies the number of rows of the matrix A.
33 M must be at least zero.
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35 N (local input) const int
36 On entry, N specifies the number of columns of the matrix A.
37 N must be at least zero.
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39 A (local input) const double *
40 On entry, A points to an array of dimension (LDA,N), that
41 contains the matrix A.
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43 LDA (local input) const int
44 On entry, LDA specifies the leading dimension of the array A.
45 LDA must be at least max(1,M).
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48 #include "hpl.h"
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50 int main(int argc, char *argv[])
51 {
52 double a[2*2];
53 a[0] = 1.0; a[1] = 3.0; a[2] = 2.0; a[3] = 4.0;
54 norm = HPL_dlange( HPL_NORM_I, 2, 2, a, 2 );
55 printf("norm=%f\n", norm);
56 exit(0); return(0);
57 }
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60 HPL_dlaprnt (3), HPL_fprintf (3).
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64HPL 2.2 February 24, 2016 HPL_dlange(3)