Coverart for item
The Resource Attraction in Numerical Minimization : Iteration Mappings, Attractors, and Basins of Attraction, by Adam B. Levy, (electronic resource)

Attraction in Numerical Minimization : Iteration Mappings, Attractors, and Basins of Attraction, by Adam B. Levy, (electronic resource)

Label
Attraction in Numerical Minimization : Iteration Mappings, Attractors, and Basins of Attraction
Title
Attraction in Numerical Minimization
Title remainder
Iteration Mappings, Attractors, and Basins of Attraction
Statement of responsibility
by Adam B. Levy
Creator
Subject
Language
eng
Summary
Numerical minimization of an objective function is analyzed in this book to understand solution algorithms for optimization problems. Multiset-mappings are introduced to engineer numerical minimization as a repeated application of an iteration mapping. Ideas from numerical variational analysis are extended to define and explore notions of continuity and differentiability of multiset-mappings, and prove a fixed-point theorem for iteration mappings. Concepts from dynamical systems are utilized to develop notions of basin size and basin entropy. Simulations to estimate basins of attraction, to measure and classify basin size, and to compute basin are included to shed new light on convergence behavior in numerical minimization. Graduate students, researchers, and practitioners in optimization and mathematics who work theoretically to develop solution algorithms will find this book a useful resource.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Levy, Adam B
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Springer eBooks
  • Springer eBooks.
  • SpringerBriefs in Optimization,
http://library.link/vocab/subjectName
  • Differentiable dynamical systems
  • Functional analysis
  • Mathematical optimization
  • Numerical analysis
Label
Attraction in Numerical Minimization : Iteration Mappings, Attractors, and Basins of Attraction, by Adam B. Levy, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=https://doi.org/10.1007/978-3-030-04049-9
Instantiates
Publication
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. Multisets and Multiset Mappings -- 2. Iteration Mappings -- 3. Equilibria in Dynamical Systems -- 4. Attractors -- 5. Basin Analysis Via Simulation
Control code
978-3-030-04049-9
Dimensions
unknown
Extent
1 online resource (XII, 78 pages)
Form of item
  • online
  • 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
9783030040499
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
49 illustrations in color.
Specific material designation
remote
System control number
(OCoLC)1078636238
Label
Attraction in Numerical Minimization : Iteration Mappings, Attractors, and Basins of Attraction, by Adam B. Levy, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=https://doi.org/10.1007/978-3-030-04049-9
Publication
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. Multisets and Multiset Mappings -- 2. Iteration Mappings -- 3. Equilibria in Dynamical Systems -- 4. Attractors -- 5. Basin Analysis Via Simulation
Control code
978-3-030-04049-9
Dimensions
unknown
Extent
1 online resource (XII, 78 pages)
Form of item
  • online
  • 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
9783030040499
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
49 illustrations in color.
Specific material designation
remote
System control number
(OCoLC)1078636238

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