36 lines
700 B
Mathematica
36 lines
700 B
Mathematica
clear clc
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# Bi section
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pkg load symbolic;
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f = @(x) 3*x.^2 - e.^x #example function we use for every single thing
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a = 0
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b = 1
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syms x;
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function root = newton(f, x0)
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if abs(f(x0)) < eps #Breaking condition
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root = x0
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return
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endif
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x0 = x0 -( f(x0) / deriv(f,x0) ); # dividing by the derivative
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newton(f, x0)
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endfunction
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newton(f, 0.5)
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function root = secant(f, x0, x1)
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if abs(f(x0)) < eps
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root = x0 # breaking condition
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return
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endif
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syms x;
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df = diff(f(x));
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ff = function_handle (df);
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temp = x1; # Temp variable for reassigning x0
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x1 = x1 -( ( f(x1) * (x1 - x0) ) / ( f(x1) - f(x0) ) ); #Formula that replaced y' in newton
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x0 = temp;
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secant(f, x0,x1)
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endfunction
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secant(f, 1, 0)
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