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Linear Algebra and Numerical Analysis - Assignment 2 | AMATH 352, Study notes of Mathematics

University of Washington (UW) - SeattleMathematics
Prof. U. Hetmaniuk

Homework solution 2 Material Type: Notes; Professor: Hetmaniuk; Class: LINR ALG & NUM ANLY; Subject: Applied Mathematics; University: University of Washington - Seattle; Term: Autumn 2011;

Typology: Study notes

2010/2011

Uploaded on 10/28/2011

uschohk
uschohk 🇺🇸

3 documents

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bg1
homework02ex2m
Page
1
of
1
Printed:
10/12/11
12:29:20
PM
Printed
For:
hetmaniu
%
Code
to
approximate
the
value
of
pi
clear
all;
MySum
=
0;
for
n
=
1:20,
MySum
=
MySum
+
l/((2*fl1)2*(2*fl+1)A2);
[n,
sqrt(MySum*16+8)pJ
end
save
s2Odat
MySum
-ascii
MyError
=
abs(
sqrt(MySum*16+8)
-
pi
);
save
e2Odat
MyError
-ascii
nn
=
0;
ss
=
00;
MyValue
=
sqrt(16*ss
+
8);
while
(abs(Myvalue
-
pi)
>
10e-08)
nn
=
nn
+
1;
ss
=
ss
+
MyValue
=
sqrt(16*ss
+
8);
end
save
n08dat
nn
-ascii;
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff

Partial preview of the text

Download Linear Algebra and Numerical Analysis - Assignment 2 | AMATH 352 and more Study notes Mathematics in PDF only on Docsity!

homework02ex2m Printed: (^) 10/12/11 (^) 12:29:20 (^) PM Page^1 of (^1) Printed (^) For: (^) hetmaniu

% Code (^) to (^) approximate (^) the (^) value of pi

clear (^) all;

MySum = 0; for (^) n (^) = 1:20, MySum (^) = MySum (^) + l/((2fl1)2(2fl+1)A2); [n, sqrt(MySum16+8)pJ end

save (^) s2Odat (^) MySum (^) -ascii

MyError (^) = abs( sqrt(MySum*16+8)

  • pi (^) ); save (^) e2Odat (^) MyError (^) -ascii

nn (^) = 0; ss (^) = 00; MyValue =^ sqrt(16ss^ + (^) 8); while (^) (abs(Myvalue (^) - pi) (^) > 10e-08) nn = nn + (^) 1; ss = ss (^) + MyValue = sqrt(16ss (^) + (^) 8); end

save (^) n08dat nn (^) -ascii;

homeworkO2exlm Printed: (^) 10/12/11 (^) 12:29:29 (^) PM Page (^1) of 1 Printed (^) For: (^) hetmanin

%---- (^) The goal (^) is to (^) compute the (^) norm of (^) a vector,

clear (^) all;

x (^) = [1; 2; (^) 3.0; (^) 5.0; 7.Oj;

NormXl = norm ( x, 1);

save (^) NormXl,dat (^) NormXl -ascii

NormX2 (^) = norm(x, (^) 2); save (^) NormX2 (^) .dat (^) NormX2 (^) -ascii

NormX4 (^) = norm(x, (^) 4); save (^) NormX4,dat (^) NormX4 (^) -ascii

x = [1; (^) 3.0; (^) 5.0; (^) 7.0; (^) 9.Oj; y = [1; (^) 2; (^) 4.0; 6.0; (^) 8.0j;

mydot (^) = dot(x,y); save (^) dot (^) xy.dat (^) mydot (^) -ascii

theta (^) = save (^) angle (^) xy.dat (^) theta (^) -ascii

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