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  • matlab Newton method

    % Matlab script to illustrate Newton's method
    % to solve a nonlinear equation
    
    % this particular script finds the square root of a number M
    % (input by the user)
    
    % note that the function we are trying to zero is f(x) = x^2 - M.
    % its derivative is f'(x) = 2*x.
    % these functions are hard-coded in the script.
    
    format long
    
    % get user input
    M = input('Please enter the number whose square root you want: ')
    x0 = input('Please enter starting guess: ')
    
    % iteration counter
    k = 1
    % compute first Newton iterate to enter loop
    x = x0 - (x0^2-M)/(2*x0)
    disp('Hit return to continue')
    pause 
    
    while abs(x-x0) > eps*abs(x),
        % reset guess to old iterate
        x0 = x;
        % increment iteration counter
        k = k + 1
        % compute and display Newton iterate
        x = x0 - (x0^2-M)/(2*x0)
        disp('Hit return to continue')
        pause 
    end
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  • 原文地址:https://www.cnblogs.com/yfceshi/p/6885967.html
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