rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Introduction to Global Optimization Exploiting Space-Filling Curves
  name:
    name part: Sergeyev, Yaroslav D.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Strongin, Roman G.
    role:
      role term: author.
  name:
    name part: Lera, Daniela.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 125 p. 32 illus., 30 illus. in color. online resource.
  abstract: Introduction to Global Optimization Exploiting Space-Filling Curves provides an overview of classical and new results pertaining to the usage of space-filling curves in global optimization. The authors look at a family of derivative-free numerical algorithms applying space-filling curves to reduce the dimensionality of the global optimization problem; along with a number of unconventional ideas, such as adaptive strategies for estimating Lipschitz constant, balancing global and local information to accelerate the search. Convergence conditions of the described algorithms are studied in depth and theoretical considerations are illustrated through numerical examples. This work also contains a code for implementing space-filling curves that can be used for constructing new global optimization algorithms. Basic ideas from this text can be applied to a number of problems including problems with multiextremal and partially defined constraints and non-redundant parallel computations can be organized. Professors, students, researchers, engineers, and other professionals in the fields of pure mathematics, nonlinear sciences studying fractals, operations research, management science, industrial and applied mathematics, computer science, engineering, economics, and the environmental sciences will find this title useful . .
  table of contents: 1. Introduction -- 2. Approximations to Peano curves -- 3. Global optimization algorithms using curves to reduce dimensionality of the problem -- 4. Ideas for acceleration -- 5. A brief conclusion -- References.
  note: by Yaroslav D. Sergeyev, Roman G. Strongin, Daniela Lera.
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic geometry
  subject:
    topic: Computer software
  subject:
    topic: Numerical analysis
  subject:
    topic: Operations research
  subject:
    topic: Management science
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Complex manifolds
  subject:
    topic: Mathematics
  subject:
    topic: Manifolds and Cell Complexes (incl. Diff.Topology)
  subject:
    topic: Operations Research, Management Science
  subject:
    topic: Mathematical Software
  subject:
    topic: Numerical Analysis
  subject:
    topic: Algebraic Geometry
  classification: QA613-613.8
  classification: QA613.6-613.66
  classification: 514.34
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: SpringerBriefs in Optimization
  identifier: 9781461480426
  identifier: http://dx.doi.org/10.1007/978-1-4614-8042-6
  record info:
    record creation date: 130805
    record change date: 20170124141431.0
    record identifier: 978-1-4614-8042-6