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The Resource Lagrange multiplier approach to variational problems and applications, Kazufumi Ito, Karl Kunisch, (electronic resource)

Lagrange multiplier approach to variational problems and applications, Kazufumi Ito, Karl Kunisch, (electronic resource)

Label
Lagrange multiplier approach to variational problems and applications
Title
Lagrange multiplier approach to variational problems and applications
Statement of responsibility
Kazufumi Ito, Karl Kunisch
Creator
Contributor
Subject
Language
eng
Summary
Lagrange multiplier theory provides a tool for the analysis of a general class of nonlinear variational problems and is the basis for developing efficient and powerful iterative methods for solving these problems. This comprehensive monograph analyzes Lagrange multiplier theory and shows its impact on the development of numerical algorithms for problems posed in a function space setting. The authors develop and analyze efficient algorithms for constrained optimization and convex optimization problems based on the augumented Lagrangian concept and cover such topics as sensitivity analysis, convex optimization, second order methods, and shape sensitivity calculus. General theory is applied to challenging problems in optimal control of partial differential equations, image analysis, mechanical contact and friction problems, and American options for the Black-Scholes model
Member of
Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Advances in design and control
Series volume
15
Target audience
adult
Lagrange multiplier approach to variational problems and applications, Kazufumi Ito, Karl Kunisch, (electronic resource)
Label
Lagrange multiplier approach to variational problems and applications, Kazufumi Ito, Karl Kunisch, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/ebooks/siam/advances_in_design_and_control/dc15
Publication
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Bibliography note
Includes bibliographical references (p. 327-338) and index
Color
black and white
Contents
Existence of Lagrange Multipliers -- Sensitivity Analysis -- First Order Augmented Lagrangians for Equality and Finite Rank Inequality Constraints -- Augmented Lagrangian Methods for Nonsmooth, Convex Optimization -- Newton and SQP Methods -- Augmented Lagrangian-SQP Methods -- The Primal-Dual Active Set Method -- Semismooth Newton Methods I -- Semismooth Newton Methods II : Applications -- Parabolic Variational Inequalities -- Shape Optimization
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9780898718614&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3018585'}
Extent
1 electronic text (xvii, 341 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9780898718614
Isbn Type
(electronic bk.)
Other physical details
digital file.
Reformatting quality
access
Specific material designation
remote
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

Library Locations

    • Folsom LibraryBorrow it
      110 8th St, Troy, NY, 12180, US
      42.729766 -73.682577
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