root / man / man3 / HPL_pdlange.3
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1 | 1 | equemene | .TH HPL_pdlange 3 "September 10, 2008" "HPL 2.0" "HPL Library Functions" |
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2 | 1 | equemene | .SH NAME |
3 | 1 | equemene | HPL_pdlange \- Compute ||A||. |
4 | 1 | equemene | .SH SYNOPSIS |
5 | 1 | equemene | \fB\&#include "hpl.h"\fR |
6 | 1 | equemene | |
7 | 1 | equemene | \fB\&double\fR |
8 | 1 | equemene | \fB\&HPL_pdlange(\fR |
9 | 1 | equemene | \fB\&const HPL_T_grid *\fR |
10 | 1 | equemene | \fI\&GRID\fR, |
11 | 1 | equemene | \fB\&const HPL_T_NORM\fR |
12 | 1 | equemene | \fI\&NORM\fR, |
13 | 1 | equemene | \fB\&const int\fR |
14 | 1 | equemene | \fI\&M\fR, |
15 | 1 | equemene | \fB\&const int\fR |
16 | 1 | equemene | \fI\&N\fR, |
17 | 1 | equemene | \fB\&const int\fR |
18 | 1 | equemene | \fI\&NB\fR, |
19 | 1 | equemene | \fB\&const double *\fR |
20 | 1 | equemene | \fI\&A\fR, |
21 | 1 | equemene | \fB\&const int\fR |
22 | 1 | equemene | \fI\&LDA\fR |
23 | 1 | equemene | \fB\&);\fR |
24 | 1 | equemene | .SH DESCRIPTION |
25 | 1 | equemene | \fB\&HPL_pdlange\fR |
26 | 1 | equemene | returns the value of the one norm, or the infinity norm, |
27 | 1 | equemene | or the element of largest absolute value of a distributed matrix A: |
28 | 1 | equemene | |
29 | 1 | equemene | |
30 | 1 | equemene | max(abs(A(i,j))) when NORM = HPL_NORM_A, |
31 | 1 | equemene | norm1(A), when NORM = HPL_NORM_1, |
32 | 1 | equemene | normI(A), when NORM = HPL_NORM_I, |
33 | 1 | equemene | |
34 | 1 | equemene | where norm1 denotes the one norm of a matrix (maximum column sum) and |
35 | 1 | equemene | normI denotes the infinity norm of a matrix (maximum row sum). Note |
36 | 1 | equemene | that max(abs(A(i,j))) is not a matrix norm. |
37 | 1 | equemene | .SH ARGUMENTS |
38 | 1 | equemene | .TP 8 |
39 | 1 | equemene | GRID (local input) const HPL_T_grid * |
40 | 1 | equemene | On entry, GRID points to the data structure containing the |
41 | 1 | equemene | process grid information. |
42 | 1 | equemene | .TP 8 |
43 | 1 | equemene | NORM (global input) const HPL_T_NORM |
44 | 1 | equemene | On entry, NORM specifies the value to be returned by this |
45 | 1 | equemene | function as described above. |
46 | 1 | equemene | .TP 8 |
47 | 1 | equemene | M (global input) const int |
48 | 1 | equemene | On entry, M specifies the number of rows of the matrix A. |
49 | 1 | equemene | M must be at least zero. |
50 | 1 | equemene | .TP 8 |
51 | 1 | equemene | N (global input) const int |
52 | 1 | equemene | On entry, N specifies the number of columns of the matrix A. |
53 | 1 | equemene | N must be at least zero. |
54 | 1 | equemene | .TP 8 |
55 | 1 | equemene | NB (global input) const int |
56 | 1 | equemene | On entry, NB specifies the blocking factor used to partition |
57 | 1 | equemene | and distribute the matrix. NB must be larger than one. |
58 | 1 | equemene | .TP 8 |
59 | 1 | equemene | A (local input) const double * |
60 | 1 | equemene | On entry, A points to an array of dimension (LDA,LocQ(N)), |
61 | 1 | equemene | that contains the local pieces of the distributed matrix A. |
62 | 1 | equemene | .TP 8 |
63 | 1 | equemene | LDA (local input) const int |
64 | 1 | equemene | On entry, LDA specifies the leading dimension of the array A. |
65 | 1 | equemene | LDA must be at least max(1,LocP(M)). |
66 | 1 | equemene | .SH SEE ALSO |
67 | 1 | equemene | .BR HPL_pdlaprnt \ (3), |
68 | 1 | equemene | .BR HPL_fprintf \ (3). |