The Resource Abstract Convexity and Global Optimization, by Alexander Rubinov, (electronic resource)

Abstract Convexity and Global Optimization, by Alexander Rubinov, (electronic resource)

Label
Abstract Convexity and Global Optimization
Title
Abstract Convexity and Global Optimization
Statement of responsibility
by Alexander Rubinov
Creator
Subject
Genre
Language
eng
Summary
This book consists of two parts. Firstly, the main notions of abstract convexity and their applications in the study of some classes of functions and sets are presented. Secondly, both theoretical and numerical aspects of global optimization based on abstract convexity are examined. Most of the book does not require knowledge of advanced mathematics. Classical methods of nonconvex mathematical programming, being based on a local approximation, cannot be used to examine and solve many problems of global optimization, and so there is a clear need to develop special global tools for solving these problems. Some of these tools are based on abstract convexity, that is, on the representation of a function of a rather complicated nature as the upper envelope of a set of fairly simple functions. Audience: The book will be of interest to specialists in global optimization, mathematical programming, and convex analysis, as well as engineers using mathematical tools and optimization techniques and specialists in mathematical modelling
Member of
Cataloging source
AU@
http://library.link/vocab/creatorName
Rubinov, Alexander
Dewey number
515.64
Index
no index present
LC call number
  • QA315-316
  • QA402.3
  • QA402.5-QA402.6
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Nonconvex Optimization and Its Applications,
Series volume
44
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematical optimization
  • Computer engineering
  • Computer engineering
  • Mathematical optimization
  • Mathematics
Label
Abstract Convexity and Global Optimization, by Alexander Rubinov, (electronic resource)
Link
http://dx.doi.org/10.1007/978-1-4757-3200-9
Instantiates
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. An Introduction to Abstract Convexity -- 3. Elements of Monotonic Analysis: Monotonic Functions -- 4. Application to Global Optimization: Lagrange and Penalty Functions -- 5. Elements of Star-Shaped Analysis -- 6. Supremal Generators and Their Applications -- 7. Further Abstract Convexity -- 8. Application to Global Optimization: Duality -- 9. Application to Global Optimization: Numerical Methods -- References
Dimensions
unknown
Extent
1 online resource (xviii, 493 pages).
File format
unknown
Form of item
online
Isbn
9781475732009
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4757-3200-9
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)851704778
  • (OCoLC)ocn851704778
Label
Abstract Convexity and Global Optimization, by Alexander Rubinov, (electronic resource)
Link
http://dx.doi.org/10.1007/978-1-4757-3200-9
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. An Introduction to Abstract Convexity -- 3. Elements of Monotonic Analysis: Monotonic Functions -- 4. Application to Global Optimization: Lagrange and Penalty Functions -- 5. Elements of Star-Shaped Analysis -- 6. Supremal Generators and Their Applications -- 7. Further Abstract Convexity -- 8. Application to Global Optimization: Duality -- 9. Application to Global Optimization: Numerical Methods -- References
Dimensions
unknown
Extent
1 online resource (xviii, 493 pages).
File format
unknown
Form of item
online
Isbn
9781475732009
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4757-3200-9
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)851704778
  • (OCoLC)ocn851704778

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