Coverart for item
The Resource Convergence and applications of Newton-type iterations, Ioannis K. Argyros

Convergence and applications of Newton-type iterations, Ioannis K. Argyros

Label
Convergence and applications of Newton-type iterations
Title
Convergence and applications of Newton-type iterations
Statement of responsibility
Ioannis K. Argyros
Creator
Subject
Language
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
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)
  • Newton-Raphson method
  • MATHEMATICS
  • Iterative methods (Mathematics)
  • Newton-Raphson method
  • Convergence
  • Convergence
  • Iterative methods (Mathematics)
  • Newton-Raphson method
Label
Convergence and applications of Newton-type iterations, Ioannis K. Argyros
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 493-502) 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 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
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
  • 10.1007/978-0-387-72743-1.
  • 9780387727417
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-72741-7
Specific material designation
remote
System control number
(OCoLC)272298747
Label
Convergence and applications of Newton-type iterations, Ioannis K. Argyros
Publication
Bibliography note
Includes bibliographical references (pages 493-502) 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 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
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
  • 10.1007/978-0-387-72743-1.
  • 9780387727417
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-72741-7
Specific material designation
remote
System control number
(OCoLC)272298747

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      38.944491 -92.326012
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