Discusss about the newton's method(on youtube)



Discuss about the newton's video on Youtube:  https://www.youtube.com/watch?v=-DpZOZTsdvg

Luis Reguera

11 months ago

 

so...if Newton's method doesn't work...which is the alternative?

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Lorenzo Sadun

11 months ago

 

The bisection method is MUCH slower than Newton, but is also more robust.  For more info, the Wikipedia article on it is pretty clear.

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Luis Reguera

10 months ago

 

+Lorenzo Sadun  Hi, sorry but the equation that I am calculating doesn't seem to work properly. It doesn't seem to work with the bisection or the Muller method since only has solutions in a determined range of values. Could I send you the equation precisely to discuss about it?. Do you have any email?

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Lorenzo Sadun

10 months ago

 

Bisection always works for continuous functions. (Have you checked that your function is continuous?) If f(a) is negative and f(b) is positive, then there is a point between a and b where f(x)=0. So check (a+b)/2. If f((a+b)/2) is negative, then your root is between (a+b)/2 and b. If f((a+b)/2) is positive, then the root is between a and (a+b)/2.  Lather, rinse, repeat.

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Luis Reguera

10 months ago

 

+Lorenzo Sadun Yes, the problem as I said is that only has a limited range of real values so...imaginary solution show up when these kind of methods are used and then it can not converge. In conclusion, it is not a continuous equation so what would be the solution for a non-continuous equation?

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