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The Resource Convergence and Applications of Newtontype Iterations, by Ioannis K. Argyros, (electronic resource)
Convergence and Applications of Newtontype Iterations, by Ioannis K. Argyros, (electronic resource)
Resource Information
The item Convergence and Applications of Newtontype Iterations, by Ioannis K. Argyros, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Convergence and Applications of Newtontype Iterations, by Ioannis K. Argyros, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 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
 eng
 Edition
 1st ed. 2008.
 Extent
 1 online resource (512 p.)
 Note
 Description based upon print version of record
 Contents

 Operators and Equations
 The Newton Kantorovich (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: Improving Error Bounds and Weakening of Convergence Conditions
 Point to Set Mappings
 The Newton Kantorovich Theorem and Mathematical Programming
 Isbn
 9786611491727
 Label
 Convergence and Applications of Newtontype Iterations
 Title
 Convergence and Applications of Newtontype Iterations
 Statement of responsibility
 by Ioannis K. Argyros
 Language

 eng
 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
 http://library.link/vocab/creatorName
 Argyros, Ioannis K
 Dewey number
 518.26
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 8SKtyiwtRhg
 Language note
 English
 LC call number
 QA297299.4
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/subjectName

 Numerical analysis
 Computer science
 Functional analysis
 Numerical Analysis
 Computational Mathematics and Numerical Analysis
 Functional Analysis
 Label
 Convergence and Applications of Newtontype Iterations, by Ioannis K. Argyros, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Operators and Equations  The Newton Kantorovich (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: Improving Error Bounds and Weakening of Convergence Conditions  Point to Set Mappings  The Newton Kantorovich Theorem and Mathematical Programming
 Dimensions
 unknown
 Edition
 1st ed. 2008.
 Extent
 1 online resource (512 p.)
 Form of item
 online
 Isbn
 9786611491727
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780387727431
 Specific material designation
 remote
 System control number

 (CKB)1000000000440896
 (EBL)371613
 (OCoLC)272298747
 (SSID)ssj0000769099
 (PQKBManifestationID)12265762
 (PQKBTitleCode)TC0000769099
 (PQKBWorkID)10780829
 (PQKB)10265307
 (DEHe213)9780387727431
 (MiAaPQ)EBC371613
 (EXLCZ)991000000000440896
 Label
 Convergence and Applications of Newtontype Iterations, by Ioannis K. Argyros, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Operators and Equations  The Newton Kantorovich (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: Improving Error Bounds and Weakening of Convergence Conditions  Point to Set Mappings  The Newton Kantorovich Theorem and Mathematical Programming
 Dimensions
 unknown
 Edition
 1st ed. 2008.
 Extent
 1 online resource (512 p.)
 Form of item
 online
 Isbn
 9786611491727
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9780387727431
 Specific material designation
 remote
 System control number

 (CKB)1000000000440896
 (EBL)371613
 (OCoLC)272298747
 (SSID)ssj0000769099
 (PQKBManifestationID)12265762
 (PQKBTitleCode)TC0000769099
 (PQKBWorkID)10780829
 (PQKB)10265307
 (DEHe213)9780387727431
 (MiAaPQ)EBC371613
 (EXLCZ)991000000000440896
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/ConvergenceandApplicationsofNewtontype/wIsXqe5NYqk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/ConvergenceandApplicationsofNewtontype/wIsXqe5NYqk/">Convergence and Applications of Newtontype Iterations, by Ioannis K. Argyros, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>