The Resource Newtontype methods for optimization and variational problems, Alexey F. Izmailov, Mikhail V. Solodov
Newtontype methods for optimization and variational problems, Alexey F. Izmailov, Mikhail V. Solodov
Resource Information
The item Newtontype methods for optimization and variational problems, Alexey F. Izmailov, Mikhail V. Solodov 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 Newtontype methods for optimization and variational problems, Alexey F. Izmailov, Mikhail V. Solodov 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
 This book presents comprehensive stateoftheart theoretical analysis of the fundamental Newtonian and Newtonianrelated approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, id est, as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis
 Language
 eng
 Extent
 1 online resource (xix, 573 pages)
 Contents

 1. Elements of optimization theory and variational analysis
 2. Equations and unconstrained optimization
 3. Variational problems: local methods
 4. Constrained optimization: local methods
 5. Variational problems: globalization of convergence
 6. Constrained optimization: globalization of convergence
 7. Degenerate problems with nonisolated solutions
 A. Miscellaneous material
 Isbn
 9783319042473
 Label
 Newtontype methods for optimization and variational problems
 Title
 Newtontype methods for optimization and variational problems
 Statement of responsibility
 Alexey F. Izmailov, Mikhail V. Solodov
 Subject

 Iterative methods (Mathematics)
 Iterative methods (Mathematics)
 Iterative methods (Mathematics)
 MATHEMATICS  Calculus
 MATHEMATICS  Mathematical Analysis
 Mathematical optimization
 Mathematical optimization
 Mathematical optimization
 Calculus of variations
 Calculus of variations
 Calculus of variations
 Language
 eng
 Summary
 This book presents comprehensive stateoftheart theoretical analysis of the fundamental Newtonian and Newtonianrelated approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, id est, as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis
 Cataloging source
 YDXCP
 http://library.link/vocab/creatorName
 Izmailov, Alexey F
 Dewey number
 515/.64
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA315
 LC item number
 .I96 2014
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 NLM call number
 Online Book
 http://library.link/vocab/relatedWorkOrContributorName
 Solodov, Mikhail V.
 Series statement
 Springer series in operations research and financial engineering
 http://library.link/vocab/subjectName

 Calculus of variations
 Mathematical optimization
 Iterative methods (Mathematics)
 MATHEMATICS
 MATHEMATICS
 Calculus of variations
 Iterative methods (Mathematics)
 Mathematical optimization
 Label
 Newtontype methods for optimization and variational problems, Alexey F. Izmailov, Mikhail V. Solodov
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Elements of optimization theory and variational analysis  2. Equations and unconstrained optimization  3. Variational problems: local methods  4. Constrained optimization: local methods  5. Variational problems: globalization of convergence  6. Constrained optimization: globalization of convergence  7. Degenerate problems with nonisolated solutions  A. Miscellaneous material
 Control code
 876671464
 Dimensions
 unknown
 Extent
 1 online resource (xix, 573 pages)
 Form of item
 online
 Isbn
 9783319042473
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319042473
 Other physical details
 illustrations.
 Specific material designation
 remote
 System control number
 (OCoLC)876671464
 Label
 Newtontype methods for optimization and variational problems, Alexey F. Izmailov, Mikhail V. Solodov
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Elements of optimization theory and variational analysis  2. Equations and unconstrained optimization  3. Variational problems: local methods  4. Constrained optimization: local methods  5. Variational problems: globalization of convergence  6. Constrained optimization: globalization of convergence  7. Degenerate problems with nonisolated solutions  A. Miscellaneous material
 Control code
 876671464
 Dimensions
 unknown
 Extent
 1 online resource (xix, 573 pages)
 Form of item
 online
 Isbn
 9783319042473
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319042473
 Other physical details
 illustrations.
 Specific material designation
 remote
 System control number
 (OCoLC)876671464
Subject
 Iterative methods (Mathematics)
 Iterative methods (Mathematics)
 Iterative methods (Mathematics)
 MATHEMATICS  Calculus
 MATHEMATICS  Mathematical Analysis
 Mathematical optimization
 Mathematical optimization
 Mathematical optimization
 Calculus of variations
 Calculus of variations
 Calculus of variations
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