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Solutions for FCUP's Numerical Analysis Assignments

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Diogo Cordeiro
2019-08-28 16:44:59 +01:00
commit b7b704b68b
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62
2 - Newton and Iterative methods/graphics/err_fixed_point.txt Normal file
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1.0e-01 1
7.0e-02 2
4.7e-02 3
3.2e-02 4
2.1e-02 5
1.4e-02 6
9.7e-03 7
6.5e-03 8
4.4e-03 9
3.0e-03 10
2.0e-03 11
1.3e-03 12
9.0e-04 13
6.1e-04 14
4.1e-04 15
2.8e-04 16
1.9e-04 17
1.3e-04 18
8.5e-05 19
5.7e-05 20
3.8e-05 21
2.6e-05 22
1.7e-05 23
1.2e-05 24
7.9e-06 25
5.3e-06 26
3.6e-06 27
2.4e-06 28
1.6e-06 29
1.1e-06 30
7.4e-07 31
5.0e-07 32
3.3e-07 33
2.3e-07 34
1.5e-07 35
1.0e-07 36
6.9e-08 37
4.6e-08 38
3.1e-08 39
2.1e-08 40
1.4e-08 41
9.6e-09 42
6.4e-09 43
4.3e-09 44
2.9e-09 45
2.0e-09 46
1.3e-09 47
8.9e-10 48
6.0e-10 49
4.1e-10 50
2.7e-10 51
1.8e-10 52
1.2e-10 53
8.3e-11 54
5.6e-11 55
3.8e-11 56
2.6e-11 57
1.7e-11 58
1.2e-11 59
7.8e-12 60
5.3e-12 61
3.5e-12 62

3
2 - Newton and Iterative methods/graphics/err_newton.txt Normal file
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@@ -0,0 +1,3 @@
1.4e-03 1
9.2e-07 2
3.7e-13 3

27
2 - Newton and Iterative methods/graphics/generate_graphics.gnuplot Executable file
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#!/usr/bin/gnuplot
set output "err_fixed_point.png";
set terminal png size 1200,900 enhanced font "Helvetica,20"
set autoscale;
set logscale x;
set xlabel "Erro"
set ylabel "Iterações"
set xrange [] reverse;
set linetype 1 lc rgb 'black'
set linetype 2 lc rgb 'black
plot "err_fixed_point.txt" with points pointtype 1 pointsize 2 lw 4 t "Fixed Point", "err_newton.txt" with points pointtype 2 pointsize 2 lw 4 t "Newton";
set terminal png size 1200,900 enhanced font "Helvetica,35"
set output "graph.png";
unset logscale x;
set xr [-1:1];
set zeroaxis ls 1 lw 3;
set xlabel "x"
set ylabel "y"
f(x)= x**2 - cos(x)**2;
plot f(x) lw 3 t "x^2 - cos(x)^2";
set output "graph_small.png";
set xr [0.7:0.8];
plot f(x) lw 3 t "x^2 - cos(x)^2";