Newton Methods for Nonlinear Problems Affine Invariance and Adaptive Algorithms

From the reviews:

“This monograph covers a multitude of Newton methods and presents the algorithms and their convergence analysis from the perspective of affine invariance, which has been the subject of research by the author since 1970. … The book is intended for graduate students of mathematics and computational science and also for researchers in the area of numerical analysis and scientific computing. … As a research monograph, the book not only assembles the current state of the art, but also points to future research prospects.” (Gudula Runger, ACM Computing Reviews, June, 2012)

From the reviews:"This monograph covers a multitude of Newton methods and presents the algorithms and their convergence analysis from the perspective of affine invariance, which has been the subject of research by the author since 1970. ... The book is intended for graduate students of mathematics and computational science and also for researchers in the area of numerical analysis and scientific computing. ... As a research monograph, the book not only assembles the current state of the art, but also points to future research prospects." (Gudula Runger, ACM Computing Reviews, June, 2012)