Polynomial Operator Equations in Abstract Spaces and Applications: In Abstract Spaces and Applications

ISBN-13: 9780367447878 / Angielski / Miękka / 2020 / 586 str.

Ioannis K. Argyros

Opis

This book presents new and important old results about polynomial equations as well as an analysis of general new and efficient iterative methods for their numerical solution in various space settings. It is intended for senior undergraduate and graduate students.

Recenzje

"This book provides a valuable service to those mathematicians working in the area of polynomial operator equations...The theoretical material addressed has a spectrum of applications...applications [that are] quite relevant and important...Anyone doing research in this area should have a copy of this monograph."
Patrick J. Van Fleet, Mathematical and Information Sciences, Huntsville, Texas
"A comprehensive presentation of this rapidly growing field...benefiting not only those working in the field but also those interested in, and in need of, information about specific results or techniques...Clear...Logical...Elegant...The author has achieved the optimum at this point."
- Dr. George Anastassiou, University of Memphis, Tennessee

Spis treści

Introduction 1. Quadratic Equations and Perturbation Theory 2. More Methods for Solving Quadratic Equations 3. Polynomial Equations in Banach Space 4. Integral and Differential Equations 5. Polynomial Operators in Linear Spaces 6. General Methods for Solving Nonlinear Equations

O autorze

Argyros, Ioannis K.