findZero

Uses bisection and newtons method to find all function zeros on a given interval.

% Written By: Ian Ammerman

% Written: 9/15/23

%

% findZero(func,a,b) finds the root of func on the interval a,b. If multiple

% roots are present on the interval, new sub-intervals are defined and

% solved individually. The bi-section method is employed to a tolerance of

% 10^-2 and Newton's method is used for final convergence to 10^-6

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% findZero(func,a,b,'ShowFigure',true) plots the function over the given

% interval along with the located roots.

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% findZero(func,a,b,'Tolerance',tol) defines the tolerance for Newton's

% method convergence. Default is 10^-6