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Homework 4

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Unformatted text preview: Homework 4 Lectures 13‐16 Math 344 Ohio University Spring Quarter 09’‐10’ Bob Benjamin Astrom Elbert 13.1) %L13P1 %Math 344 %Homework Problem 13.1 % or %Homework Lecture 13 Problem 1 ==> (L13P1) %Written by Bob Astrom and Ben Elbert format long n=50; % set some number of iterations, may need adjusting m=60; % Set number of iterations for initial guess lasty = [0; 0]; % Set vector to identify answer change filler = 0; % Just a place holder not important AnswerNumber=0; % Set counter for the number of the answer f = inline('[(x(1).^2/186.^2) - (x(2).^2/(300.^2 - 186.^2)) - 1 ; ((x(2) 500).^2/279.^2) - ((x(1) - 300).^2/(500.^2 - 279.^2)) - 1]'); % the vector function Df = inline('[2*(x(1)/186^2), -2*(x(2)/(300^2 - 186^2)) ; -2*((x(1) 300)/(500.^2 - 279.^2)), 2*((x(2) - 500)/279.^2)]'); % the matrix of partial derivatives for l = 1:m % Loop to change initial guess x = [10*l;10*l]; % Initial guess InitialGuess = x; % Store initial guess for later display for i = 1:n % Loop for actual calculation Dx = -Df(x)\f(x); % solve for increment x = x + Dx; % add on to get new guess f(x); % see if f(x) is really zero end % End calculation loop y = x*1000; % Decimal place shift for rounding y = round(y); % Creat rounded answers for uniqueness test if y == lasty % Check to see if answer has not changed filler = 0; % Here just for the heck of it else % Check to see if answer has changed AnswerNumber = AnswerNumber + 1 % Answer # counter and display InitialGuess % Display initial...
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