This book introduces advanced numerical-functional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, each chapter co

Argyros, Ioannis K.; Cho, Yeol J.; Hilout, Saïd

Introduction. Newton's Method. Secant Method. Steffensen's Method. Gauss-Newton Method. Newton-Type Methods. Inexact Methods. Werner's Method. Halley's Method. Methods for Variational Inequalities. Fast Two-Step Methods. Fixed Point Methods.