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3 | 1 | equemene | <TITLE>HPL_pdlange HPL 2.0 Library Functions September 10, 2008</TITLE> |
4 | 1 | equemene | </HEAD>
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9 | 1 | equemene | <H1>Name</H1> |
10 | 1 | equemene | <B>HPL_pdlange</B> Compute ||A||. |
11 | 1 | equemene | |
12 | 1 | equemene | <H1>Synopsis</H1> |
13 | 1 | equemene | <CODE>#include "hpl.h"</CODE><BR><BR> |
14 | 1 | equemene | <CODE>double</CODE> |
15 | 1 | equemene | <CODE>HPL_pdlange(</CODE> |
16 | 1 | equemene | <CODE>const HPL_T_grid *</CODE> |
17 | 1 | equemene | <CODE>GRID</CODE>, |
18 | 1 | equemene | <CODE>const HPL_T_NORM</CODE> |
19 | 1 | equemene | <CODE>NORM</CODE>, |
20 | 1 | equemene | <CODE>const int</CODE> |
21 | 1 | equemene | <CODE>M</CODE>, |
22 | 1 | equemene | <CODE>const int</CODE> |
23 | 1 | equemene | <CODE>N</CODE>, |
24 | 1 | equemene | <CODE>const int</CODE> |
25 | 1 | equemene | <CODE>NB</CODE>, |
26 | 1 | equemene | <CODE>const double *</CODE> |
27 | 1 | equemene | <CODE>A</CODE>, |
28 | 1 | equemene | <CODE>const int</CODE> |
29 | 1 | equemene | <CODE>LDA</CODE> |
30 | 1 | equemene | <CODE>);</CODE> |
31 | 1 | equemene | |
32 | 1 | equemene | <H1>Description</H1> |
33 | 1 | equemene | <B>HPL_pdlange</B> |
34 | 1 | equemene | returns the value of the one norm, or the infinity norm, |
35 | 1 | equemene | or the element of largest absolute value of a distributed matrix A: |
36 | 1 | equemene | |
37 | 1 | equemene | |
38 | 1 | equemene | max(abs(A(i,j))) when NORM = HPL_NORM_A, |
39 | 1 | equemene | norm1(A), when NORM = HPL_NORM_1, |
40 | 1 | equemene | normI(A), when NORM = HPL_NORM_I, |
41 | 1 | equemene | |
42 | 1 | equemene | where norm1 denotes the one norm of a matrix (maximum column sum) and |
43 | 1 | equemene | normI denotes the infinity norm of a matrix (maximum row sum). Note |
44 | 1 | equemene | that max(abs(A(i,j))) is not a matrix norm. |
45 | 1 | equemene | |
46 | 1 | equemene | <H1>Arguments</H1> |
47 | 1 | equemene | <PRE>
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48 | 1 | equemene | GRID (local input) const HPL_T_grid * |
49 | 1 | equemene | On entry, GRID points to the data structure containing the |
50 | 1 | equemene | process grid information. |
51 | 1 | equemene | </PRE>
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52 | 1 | equemene | <PRE>
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53 | 1 | equemene | NORM (global input) const HPL_T_NORM |
54 | 1 | equemene | On entry, NORM specifies the value to be returned by this |
55 | 1 | equemene | function as described above. |
56 | 1 | equemene | </PRE>
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57 | 1 | equemene | <PRE>
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58 | 1 | equemene | M (global input) const int |
59 | 1 | equemene | On entry, M specifies the number of rows of the matrix A. |
60 | 1 | equemene | M must be at least zero. |
61 | 1 | equemene | </PRE>
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62 | 1 | equemene | <PRE>
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63 | 1 | equemene | N (global input) const int |
64 | 1 | equemene | On entry, N specifies the number of columns of the matrix A. |
65 | 1 | equemene | N must be at least zero. |
66 | 1 | equemene | </PRE>
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67 | 1 | equemene | <PRE>
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68 | 1 | equemene | NB (global input) const int |
69 | 1 | equemene | On entry, NB specifies the blocking factor used to partition |
70 | 1 | equemene | and distribute the matrix. NB must be larger than one. |
71 | 1 | equemene | </PRE>
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72 | 1 | equemene | <PRE>
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73 | 1 | equemene | A (local input) const double * |
74 | 1 | equemene | On entry, A points to an array of dimension (LDA,LocQ(N)), |
75 | 1 | equemene | that contains the local pieces of the distributed matrix A. |
76 | 1 | equemene | </PRE>
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77 | 1 | equemene | <PRE>
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78 | 1 | equemene | LDA (local input) const int |
79 | 1 | equemene | On entry, LDA specifies the leading dimension of the array A. |
80 | 1 | equemene | LDA must be at least max(1,LocP(M)). |
81 | 1 | equemene | </PRE>
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82 | 1 | equemene | |
83 | 1 | equemene | <H1>See Also</H1> |
84 | 1 | equemene | <A HREF="HPL_pdlaprnt.html">HPL_pdlaprnt</A>, |
85 | 1 | equemene | <A HREF="HPL_fprintf.html">HPL_fprintf</A>. |
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