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Iterative Solution Of Nonlinear Equations In Several Variables


Iterative Solution Of Nonlinear Equations In Several Variables
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Iterative Solution Of Nonlinear Equations In Several Variables


Iterative Solution Of Nonlinear Equations In Several Variables
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Author : J. M. Ortega
language : en
Publisher: SIAM
Release Date : 1970-01-01

Iterative Solution Of Nonlinear Equations In Several Variables written by J. M. Ortega and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970-01-01 with Mathematics categories.


Surveys the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Offers a research-level presentation of the principal results known in 1970. The results and proof techniques introduced still represent a solid basis for this topic.



Iterative Solution Of Nonlinear Equations In Several Variables


Iterative Solution Of Nonlinear Equations In Several Variables
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Author : J. M. Ortega
language : en
Publisher: Elsevier
Release Date : 2014-05-10

Iterative Solution Of Nonlinear Equations In Several Variables written by J. M. Ortega and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Computer Science and Applied Mathematics: Iterative Solution of Nonlinear Equations in Several Variables presents a survey of the basic theoretical results about nonlinear equations in n dimensions and analysis of the major iterative methods for their numerical solution. This book discusses the gradient mappings and minimization, contractions and the continuation property, and degree of a mapping. The general iterative and minimization methods, rates of convergence, and one-step stationary and multistep methods are also elaborated. This text likewise covers the contractions and nonlinear majorants, convergence under partial ordering, and convergence of minimization methods. This publication is a good reference for specialists and readers with an extensive functional analysis background.



Solving Nonlinear Equations With Newton S Method


Solving Nonlinear Equations With Newton S Method
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Author : C. T. Kelley
language : en
Publisher: SIAM
Release Date : 2003-01-01

Solving Nonlinear Equations With Newton S Method written by C. T. Kelley and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Mathematics categories.


This book on Newton's method is a user-oriented guide to algorithms and implementation. In just over 100 pages, it shows, via algorithms in pseudocode, in MATLAB, and with several examples, how one can choose an appropriate Newton-type method for a given problem, diagnose problems, and write an efficient solver or apply one written by others. It contains trouble-shooting guides to the major algorithms, their most common failure modes, and the likely causes of failure. It also includes many worked-out examples (available on the SIAM website) in pseudocode and a collection of MATLAB codes, allowing readers to experiment with the algorithms easily and implement them in other languages.



Iterative Methods For Solving Nonlinear Equations And Systems


Iterative Methods For Solving Nonlinear Equations And Systems
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Author : Juan R. Torregrosa
language : en
Publisher: MDPI
Release Date : 2019-12-06

Iterative Methods For Solving Nonlinear Equations And Systems written by Juan R. Torregrosa and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Mathematics categories.


Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering.



Iterative Methods For Linear And Nonlinear Equations


Iterative Methods For Linear And Nonlinear Equations
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Author : C. T. Kelley
language : en
Publisher: SIAM
Release Date : 1995-01-01

Iterative Methods For Linear And Nonlinear Equations written by C. T. Kelley and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.


Mathematics of Computing -- Numerical Analysis.



Iterative Solution Of Nonlinear Equations In Several Variables


Iterative Solution Of Nonlinear Equations In Several Variables
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Author : James M. Ortega
language : en
Publisher:
Release Date : 1980

Iterative Solution Of Nonlinear Equations In Several Variables written by James M. Ortega and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.




Methods For Solving Systems Of Nonlinear Equations


Methods For Solving Systems Of Nonlinear Equations
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Author : Werner C. Rheinboldt
language : en
Publisher: SIAM
Release Date : 1998-01-01

Methods For Solving Systems Of Nonlinear Equations written by Werner C. Rheinboldt and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.


This second edition provides much-needed updates to the original volume. Like the first edition, it emphasizes the ideas behind the algorithms as well as their theoretical foundations and properties, rather than focusing strictly on computational details; at the same time, this new version is now largely self-contained and includes essential proofs. Additions have been made to almost every chapter, including an introduction to the theory of inexact Newton methods, a basic theory of continuation methods in the setting of differentiable manifolds, and an expanded discussion of minimization methods. New information on parametrized equations and continuation incorporates research since the first edition.



Stability Of Functional Equations In Several Variables


Stability Of Functional Equations In Several Variables
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Author : D.H. Hyers
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Stability Of Functional Equations In Several Variables written by D.H. Hyers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial solution in 1941. The subject has been revised and de veloped by an increasing number of mathematicians, particularly during the last two decades. Three survey articles have been written on the subject by D. H. Hyers (1983), D. H. Hyers and Th. M. Rassias (1992), and most recently by G. L. Forti (1995). None of these works included proofs of the results which were discussed. Furthermore, it should be mentioned that wider interest in this subject area has increased substantially over the last years, yet the pre sentation of research has been confined mainly to journal articles. The time seems ripe for a comprehensive introduction to this subject, which is the purpose of the present work. This book is the first to cover the classical results along with current research in the subject. An attempt has been made to present the material in an integrated and self-contained fashion. In addition to the main topic of the stability of certain functional equa tions, some other related problems are discussed, including the stability of the convex functional inequality and the stability of minimum points. A sad note. During the final stages of the manuscript our beloved co author and friend Professor Donald H. Hyers passed away.



Iterative Methods For Sparse Linear Systems


Iterative Methods For Sparse Linear Systems
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Author : Yousef Saad
language : en
Publisher: SIAM
Release Date : 2003-04-01

Iterative Methods For Sparse Linear Systems written by Yousef Saad and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-01 with Mathematics categories.


Mathematics of Computing -- General.



New Computing Environments


New Computing Environments
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Author : Arthur Wouk
language : en
Publisher: SIAM
Release Date : 1987-01-01

New Computing Environments written by Arthur Wouk and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Computers categories.