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From quasi-Newton methods to non-quasi-Newton methods. (English) Zbl 1052.90630

From the text: Quasi-Newton methods are a class of methods that do not use the second-order derivatives, possessing some “quasi-Newton” properties. These methods converge superlinearly and perform very well in practice. Quasi-Newton methods are the main methods for solving nonlinear optimization problems. In the following we give a review of some of the important results of quasi-Newton methods and some recent development including our efforts in introducing and developing the non-quasi-Newton techniques.

MSC:

90C53 Methods of quasi-Newton type
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