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: SOC Functions and Their Applications
  name:
    name part: Chen, Jein-Shan.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: si
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 206 p. 8 illus., 6 illus. in color. online resource.
  abstract: This book covers all of the concepts required to tackle second-order cone programs (SOCPs), in order to provide the reader a complete picture of SOC functions and their applications. SOCPs have attracted considerable attention, due to their wide range of applications in engineering, data science, and finance. To deal with this special group of optimization problems involving second-order cones (SOCs), we most often need to employ the following crucial concepts: (i) spectral decomposition associated with SOCs, (ii) analysis of SOC functions, and (iii) SOC-convexity and -monotonicity. Moreover, we can roughly classify the related algorithms into two categories. One category includes traditional algorithms that do not use complementarity functions. Here, SOC-convexity and SOC-monotonicity play a key role. In contrast, complementarity functions are employed for the other category. In this context, complementarity functions are closely related to SOC functions; consequently, the analysis of SOC functions can help with these algorithms.
  table of contents: SOC Functions -- SOC-convexity and SOC-Monotonity -- Algorithmic Applications -- SOC Means and SOC Inequalities -- Possible Extensions.
  note: by Jein-Shan Chen.
  subject:
    topic: Operations research
  subject:
    topic: Management science
  subject:
    topic: Operations Research, Management Science
  classification: QA402-402.37
  classification: T57.6-57.97
  classification: 519.6
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Optimization and Its Applications, 143
  identifier: 9789811340772
  identifier: https://doi.org/10.1007/978-981-13-4077-2
  record info:
    record creation date: 191028
    record change date: 20191220130322.0
    record identifier: 978-981-13-4077-2