ASSIGNMENT 1
Due September 27, 2005, before 11:00 am
Problem 2 This problem is adopted from computer problem 6.9 on page 304 in Heath's book. We want to find a minimum of Rosenbrock's function in two-dimensions, f (x, y) = 100(y - x2 )2 + (1 - x)2 . (a) D
ASSIGNMENT 3
Due October 18, 2005, before 11:00 am
Problem 3 We want to find a minimum of Rosenbrock's function in N-dimensions,
N -1
f (x) =
i=1
100(xi+1 - xi )2 + (1 - xi )2 .
This function clearly has a global minimum at x = [1 1 1]T where f (x ) = 0.
%
%
%
%
%
%
%
%
%
%
%
%
%
%
ex8p15.m
Combining Archimedes method for approximating
Pi and Richardson extrapolation.
See Exercise 8.15 on p.377 Heath.
Half of the perimeter of an inscribed polygon
with n sides: pn = n*sin(pi/n)
Half of the perimeter of a c