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: Convex Analysis for Optimization
    sub title: A Unified Approach
  name:
    name part: Brinkhuis, Jan.
    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
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 2020
    edition: 1st ed. 2020.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (XXVII, 257 pages 92 illustrations)
  abstract: This textbook offers graduate students a concise introduction to the classic notions of convex optimization. Written in a highly accessible style and including numerous examples and illustrations, it presents everything readers need to know about convexity and convex optimization. The book introduces a systematic three-step method for doing everything, which can be summarized as "conify, work, deconify". It starts with the concept of convex sets, their primal description, constructions, topological properties and dual description, and then moves on to convex functions and the fundamental principles of convex optimization and their use in the complete analysis of convex optimization problems by means of a systematic four-step method. Lastly, it includes chapters on alternative formulations of optimality conditions and on illustrations of their use. "The author deals with the delicate subjects in a precise yet light-minded spirit... For experts in the field, this book not only offers a unifying view, but also opens a door to new discoveries in convexity and optimization.... perfectly suited for classroom teaching." Shuzhong Zhang, Professor of Industrial and Systems Engineering, University of Minnesota.
  table of contents: Convex Sets: Basic properties -- Convex Sets: Binary Operations -- Convex Sets: Topological Properties -- Convex Sets: Dual Description -- Convex Functions: Basic Properties -- Convex Functions: Dual Description -- Convex Problems: The Main Questions -- Optimality Conditions: Reformulations -- Application to Convex Problems. .
  note: by Jan Brinkhuis.
  subject:
    topic: Operations research
  subject:
    topic: Decision making
  subject:
    topic: Management science
  subject:
    topic: Mathematical optimization
  subject:
    topic: Convex geometry
  subject:
    topic: Discrete geometry
  subject:
    topic: Polytopes
  subject:
    topic: Operations Research/Decision Theory
  subject:
    topic: Operations Research, Management Science
  subject:
    topic: Continuous Optimization
  subject:
    topic: Convex and Discrete Geometry
  subject:
    topic: Polytopes
  classification: HD30.23
  classification: 658.40301
  related item:
    title info:
      title: Springer Nature eBook
  related item:
    title info:
      title: Graduate Texts in Operations Research
  identifier: 9783030418045
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record creation date: 200505
    record change date: 20240805183315.6
    record identifier: in00004390634