The Resource Convergence and Applications of Newton-type Iterations, by Ioannis K. Argyros, (electronic resource)

Convergence and Applications of Newton-type Iterations, by Ioannis K. Argyros, (electronic resource)

Label
Convergence and Applications of Newton-type Iterations
Title
Convergence and Applications of Newton-type Iterations
Statement of responsibility
by Ioannis K. Argyros
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
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
QA297-299.4
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 Newton-type Iterations, by Ioannis K. Argyros, (electronic resource)
Instantiates
Publication
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 -- 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: 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
10.1007/978-0-387-72743-1
Specific material designation
remote
System control number
  • (CKB)1000000000440896
  • (EBL)371613
  • (OCoLC)272298747
  • (SSID)ssj0000769099
  • (PQKBManifestationID)12265762
  • (PQKBTitleCode)TC0000769099
  • (PQKBWorkID)10780829
  • (PQKB)10265307
  • (DE-He213)978-0-387-72743-1
  • (MiAaPQ)EBC371613
  • (EXLCZ)991000000000440896
Label
Convergence and Applications of Newton-type Iterations, by Ioannis K. Argyros, (electronic resource)
Publication
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 -- 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: 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
10.1007/978-0-387-72743-1
Specific material designation
remote
System control number
  • (CKB)1000000000440896
  • (EBL)371613
  • (OCoLC)272298747
  • (SSID)ssj0000769099
  • (PQKBManifestationID)12265762
  • (PQKBTitleCode)TC0000769099
  • (PQKBWorkID)10780829
  • (PQKB)10265307
  • (DE-He213)978-0-387-72743-1
  • (MiAaPQ)EBC371613
  • (EXLCZ)991000000000440896

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