forked from johannesgerer/jburkardt-cpp
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathjacobi.html
186 lines (157 loc) · 4.37 KB
/
jacobi.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
<html>
<head>
<title>
JACOBI - The Jacobi Iteration for Linear Systems
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
JACOBI <br> The Jacobi Iteration for Linear Systems
</h1>
<hr>
<p>
<b>JACOBI</b>
is a C++ library which
sets up the Jacobi iteration for linear systems.
</p>
<p>
The program uses the GNUPLOT_I interface program to create plots
of the residual and the "motion" of the solution over the iteration.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this
web page are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>JACOBI</b> is available in
<a href = "../../c_src/jacobi/jacobi.html">a C version</a> and
<a href = "../../cpp_src/jacobi/jacobi.html">a C++ version</a> and
<a href = "../../f77_src/jacobi/jacobi.html">a FORTRAN77 version</a> and
<a href = "../../f_src/jacobi/jacobi.html">a FORTRAN90 version</a> and
<a href = "../../m_src/jacobi/jacobi.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/cg_rc/cg_rc.html">
CG_RC</a>,
a C++ library which
implements the conjugate gradient method for solving
a positive definite sparse linear system A*x=b, using reverse communication.
</p>
<p>
<a href = "../../c_src/gnuplot_i/gnuplot_i.html">
GNUPLOT_I</a>,
a C library which
allows an executing C, C++, FORTRAN77 or FORTRAN90 program
to interact with the GNUPLOT graphics program, by Nicholas Devillard.
</p>
<p>
<a href = "../../cpp_src/test_mat/test_mat.html">
TEST_MAT</a>,
a C++ library which
defines test matrices.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ul>
<li>
Tim Kelley,<br>
Iterative Methods for Linear and Nonlinear Equations,<br>
SIAM, 2004,<br>
ISBN: 0898713528,<br>
LC: QA297.8.K45.
</li>
</ul>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "jacobi.cpp">jacobi.cpp</a>, the source code.
</li>
<li>
<a href = "jacobi.hpp">jacobi.hpp</a>, the include file.
</li>
<li>
<a href = "jacobi.sh">jacobi.sh</a>,
BASH commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "jacobi_prb.cpp">jacobi_prb.cpp</a>,
a sample calling program.
</li>
<li>
<a href = "jacobi_prb.sh">jacobi_prb.sh</a>,
BASH commands to compile and run the sample program.
</li>
<li>
<a href = "jacobi_prb_output.txt">jacobi_prb_output.txt</a>,
the output file.
</li>
<li>
<a href = "motion.png">motion.png</a>,
a plot of the motion, or change in the solution, as the iteration progresses.
</li>
<li>
<a href = "residual.png">residual.png</a>,
a plot of the residual as the iteration progresses.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>DIF2</b> returns the DIF2 matrix.
</li>
<li>
<b>R8MAT_MV</b> multiplies a matrix times a vector.
</li>
<li>
<b>R8MAT_RESIDUAL_NORM</b> returns the norm of A*x-b.
</li>
<li>
<b>R8VEC_COPY</b> copies an R8VEC.
</li>
<li>
<b>R8VEC_DIFF_NORM_SQUARED:</b> square of the L2 norm of the difference of R8VEC's.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 25 June 2011.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>