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seen Jan 21 '13 at 12:17

Jul
18
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?
Jul
18
revised Newton's method
deleted 66 characters in body
Jul
18
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?
Jul
14
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.
Jul
14
revised Newton's method
deleted 896 characters in body
Jul
13
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.
Jul
12
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.
Jul
12
revised Newton's method
edited tags
Jul
12
comment Newton's method
Thank you! I went with subscript.
Jul
12
revised Newton's method
edited body
Jul
12
asked Newton's method
Jun
23
accepted Descriptive explanation of the term “homotopic”
Jun
18
accepted Antiderivative simply connected region
Jun
18
accepted Principal ideal ring analytic functions
Jun
18
accepted Riemann mapping theorem
Jun
18
answered Riemann mapping theorem
Jun
18
accepted Harmonic Function which cannot be described as real part of a holomorphic function
Jun
18
accepted How to determine the type of singularities
Jun
17
accepted Implication injective holomorphic function on the zeroes of derivative
Jun
17
accepted Implication Laurent series to polynomial