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Field name	Details
Dewey Class	518.26
Title	Convergence and Applications of Newton-type Iterations ([Ebook]) / by Ioannis K. Argyros.
Author	Argyros, Ioannis K.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2008.
Physical Details	: online resource.
ISBN	9780387727431
Summary Note	Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods. This monograph provides a comprehensive study of both basic theory and new results in the area. Each chapter contains new theoretical results and important applications in engineering, modeling dynamic economic systems, input-output systems, optimization problems, and nonlinear and linear differential equations. Several classes of operators are considered, including operators without Lipschitz continuous derivatives, operators with high order derivatives, and analytic operators. Each section is self-contained. Examples are used to illustrate the theory and exercises are included at the end of each chapter. The book assumes a basic background in linear algebra and numerical functional analysis. Graduate students and researchers will find this book useful. It may be used as a self-study reference or as a supplementary text for an advanced course in numerical functional analysis.:
Contents note	Preface -- Table of Contents -- Operators and Equations -- The Newton-Kantorovich (NK) Method -- Applications of the Weaker Version of the (NK) Theorem -- Special Methods -- Newton-Like Methods -- Analytic Computational Complexity: We are Concerned with the Choice of Initial Approximations -- Variational Inequalities -- Convergence Involving Operators with Outer or Generalized Inverses -- Convergence on Generalized Banach Spaces -- Point-to-Set Mappings -- The Newton-Kantorovich Theorem and Mathematical Programming -- Glossary of Symbols -- Bibliography.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-387-72743-1
Links to Related Works	Subject References: Computational Mathematics and Numerical Analysis . Computer Science . Functional Analysis . Mathematics . Numerical Analysis . Authors: Argyros, Ioannis K. . Corporate Authors: SpringerLink (Online service) . Classification: 518.26 . 518.26 (DDC 22) .

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Convergence and Applications of Newton-type Iterations

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