Coverart for item
The Resource Newton-type methods for optimization and variational problems, Alexey F. Izmailov, Mikhail V. Solodov

Newton-type methods for optimization and variational problems, Alexey F. Izmailov, Mikhail V. Solodov

Label
Newton-type methods for optimization and variational problems
Title
Newton-type methods for optimization and variational problems
Statement of responsibility
Alexey F. Izmailov, Mikhail V. Solodov
Creator
Contributor
Author
Subject
Language
eng
Summary
This book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related 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
Member of
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
Newton-type methods for optimization and variational problems, Alexey F. Izmailov, Mikhail V. Solodov
Instantiates
Publication
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 non-isolated 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
10.1007/978-3-319-04247-3
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)876671464
Label
Newton-type methods for optimization and variational problems, Alexey F. Izmailov, Mikhail V. Solodov
Publication
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 non-isolated 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
10.1007/978-3-319-04247-3
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)876671464

Library Locations

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