How does "Trust Region Reflective" Algoritm work?

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Dear All,
I am using LSQNONLIN to estimate my parameter in a complex chemical system. I am going to use "trust region reflective" algorithm, but I need to know how exactly it works. I mean, I am looking for the mathematical background behind it. Meanwhile, I studied the link below, but unfortunately, I didn't understand it.
I would be thankful if you could help me.
Best,

回答(3 个)

Matt J
Matt J 2013-11-15
If it's an introduction to trust region methods that you're looking for, this book is pretty good

Ruimin Dai
Ruimin Dai 2020-10-12
Hi,Merh, I found a matlab document link which detailly illustrates Trust Region Reflective algorithm:
https://www.mathworks.com/help/optim/ug/equation-solving-algorithms.html

Walter Roberson
Walter Roberson 2022-2-26
(that I do not personally understand much about.)

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