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The Resource Newton-Type Methods for Optimization and Variational Problems, by Alexey F. Izmailov, Mikhail V. Solodov, (electronic resource)

Newton-Type Methods for Optimization and Variational Problems, by Alexey F. Izmailov, Mikhail V. Solodov, (electronic resource)

Label
Newton-Type Methods for Optimization and Variational Problems
Title
Newton-Type Methods for Optimization and Variational Problems
Statement of responsibility
by 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, i.e., 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
IT-FiEUI
http://library.link/vocab/creatorName
Izmailov, Alexey F
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Solodov, Mikhail V.
  • SpringerLink (Online service)
Series statement
  • Springer Series in Operations Research and Financial Engineering,
  • Springer eBooks
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematical optimization
Label
Newton-Type Methods for Optimization and Variational Problems, by Alexey F. Izmailov, Mikhail V. Solodov, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-04247-3
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
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
978-3-319-04247-3
Dimensions
unknown
Extent
XIX, 573 pages 30 illustrations, 1 illustrations in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319042473
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-04247-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086562855
Label
Newton-Type Methods for Optimization and Variational Problems, by Alexey F. Izmailov, Mikhail V. Solodov, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-04247-3
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
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
978-3-319-04247-3
Dimensions
unknown
Extent
XIX, 573 pages 30 illustrations, 1 illustrations in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319042473
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-04247-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086562855

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