Introduction. Some useful tools of the trade. Ulm’s method. Ulm’s method without derivatives. Broyden’s method. Optimal secantupdates
of low rank. Optimal secant-type methods. Majorant generators and their convergence domains. Bibliography
Biography
Anatoly Galperin
"The book is well organised and clearly written and presents a limited but illustrative number of computational examples that are intended to provide results that can be used to validate the reader's own implementations and to give a sense of how the algorithms perform. It will be accessible to anyone who has reasonable knowledge of basic nonlinear functional analysis.
Among many other positive features of the book, I especially appreciate the fact that Chapters 2-7 begin with a motivation, give numerical examples and end by stating research project(s), thus enabling and challenging interested readers to pursue further developments. The book will be very useful to graduate students and young researchers beginning their scientific careers in the field of computational mathematics and to anyone else interested in numerical analysis."
- Vasile Berinde, Mathematical Reviews, August 2017
