The Resource Convergence and applications of Newtontype iterations, Ioannis K. Argyros
Convergence and applications of Newtontype iterations, Ioannis K. Argyros
Resource Information
The item Convergence and applications of Newtontype iterations, Ioannis K. Argyros represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Convergence and applications of Newtontype iterations, Ioannis K. Argyros represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Recent results in local convergence and semilocal 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, inputoutput 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 selfcontained. 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 selfstudy reference or as a supplementary text for an advanced course in numerical functional analysis
 Language
 eng
 Extent
 1 online resource (xv, 506 pages)
 Contents

 Preface
 Table of Contents
 Operators and Equations
 The NewtonKantorovich (NK) Method
 Applications of the Weaker Version of the (NK) Theorem
 Special Methods
 NewtonLike 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
 PointtoSet Mappings
 The NewtonKantorovich Theorem and Mathematical Programming
 Glossary of Symbols
 Bibliography
 Isbn
 9780387727417
 Label
 Convergence and applications of Newtontype iterations
 Title
 Convergence and applications of Newtontype iterations
 Statement of responsibility
 Ioannis K. Argyros
 Language
 eng
 Summary
 Recent results in local convergence and semilocal 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, inputoutput 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 selfcontained. 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 selfstudy reference or as a supplementary text for an advanced course in numerical functional analysis
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Argyros, Ioannis K
 Dewey number
 518.26
 Index
 index present
 LC call number
 QA295
 LC item number
 .A74 2008eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName

 Convergence
 Iterative methods (Mathematics)
 NewtonRaphson method
 MATHEMATICS
 Iterative methods (Mathematics)
 NewtonRaphson method
 Convergence
 Convergence
 Iterative methods (Mathematics)
 NewtonRaphson method
 Label
 Convergence and applications of Newtontype iterations, Ioannis K. Argyros
 Bibliography note
 Includes bibliographical references (pages 493502) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Table of Contents  Operators and Equations  The NewtonKantorovich (NK) Method  Applications of the Weaker Version of the (NK) Theorem  Special Methods  NewtonLike 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  PointtoSet Mappings  The NewtonKantorovich Theorem and Mathematical Programming  Glossary of Symbols  Bibliography
 Control code
 272298747
 Dimensions
 unknown
 Extent
 1 online resource (xv, 506 pages)
 Form of item
 online
 Isbn
 9780387727417
 Lccn
 2007935498
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 10.1007/9780387727431.
 9780387727417
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387727417
 Specific material designation
 remote
 System control number
 (OCoLC)272298747
 Label
 Convergence and applications of Newtontype iterations, Ioannis K. Argyros
 Bibliography note
 Includes bibliographical references (pages 493502) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Table of Contents  Operators and Equations  The NewtonKantorovich (NK) Method  Applications of the Weaker Version of the (NK) Theorem  Special Methods  NewtonLike 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  PointtoSet Mappings  The NewtonKantorovich Theorem and Mathematical Programming  Glossary of Symbols  Bibliography
 Control code
 272298747
 Dimensions
 unknown
 Extent
 1 online resource (xv, 506 pages)
 Form of item
 online
 Isbn
 9780387727417
 Lccn
 2007935498
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 10.1007/9780387727431.
 9780387727417
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387727417
 Specific material designation
 remote
 System control number
 (OCoLC)272298747
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/ConvergenceandapplicationsofNewtontype/EaihSv5438E/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/ConvergenceandapplicationsofNewtontype/EaihSv5438E/">Convergence and applications of Newtontype iterations, Ioannis K. Argyros</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>