Chris
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 Jul20 accepted Newton's method Jul18 comment Newton's method Yes, but when it finds a strict minimum, it stops. So, how does it find all local minima, so that we can compare them? Because if we run it again, we might get the same local minimum as in the first run and so on. How do we know that we have determined all local minima? Jul18 revised Newton's method deleted 66 characters in body Jul18 comment Newton's method As I understand, the algorithm presented in my first post generates a sequence $x_k$ which converges to a strict local minimum of the twice differentiable function $f$. Why is this algorithm so interesting, if it can't even find the global minimum of the given function? Jul14 comment Newton's method Thank you for having patience with me, I appreciate this a lot! I have read a few materials and this eliminated a lot of my questions. Now there are only two left, so I edited my post. Jul14 revised Newton's method deleted 896 characters in body Jul13 comment Newton's method Thank you J.M. and copper.hat. I will try to get the basics in my system. Your help is very much appreciated. Jul12 comment Newton's method Thank you! Is this the reference you would suggest as being the easiest introduction into numerical optimization? I would want a book which explains in words, what is going on in every algorithm. Jul12 revised Newton's method edited tags Jul12 comment Newton's method Thank you! I went with subscript. Jul12 revised Newton's method edited body Jul12 asked Newton's method Jun23 accepted Descriptive explanation of the term “homotopic” Jun18 accepted Antiderivative simply connected region Jun18 accepted Principal ideal ring analytic functions Jun18 accepted Riemann mapping theorem Jun18 answered Riemann mapping theorem Jun18 accepted Harmonic Function which cannot be described as real part of a holomorphic function Jun18 accepted How to determine the type of singularities Jun17 accepted Implication injective holomorphic function on the zeroes of derivative