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From continuous to discrete

  • Carlile Lavor
  • , Leo Liberti
  • , Weldon A. Lodwick
  • , Tiago Mendonça da Costa
  • University of Campinas (UNICAMP)
  • University of Colorado at Denver

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

One approach that has been used to solve the DGP is to represent it as a continuous optimization problem [59]. To understand it, we consider a DGP with K = 2, V = {u, v, s}, E = {{ u, v}, {v, s}}, where the associated quadratic system is [Formula presented] which can be rewritten as [Formula presented] Consider the function f: ℝ6→ ℝ, defined by [Formula presented] It is not hard to realize that the solution x∗∈ ℝ6 of the associated DGP can be found by solving the following problem: [Formula presented] That is, we wish to find the point x*∈ ℝ6 which attains the smallest value of f.

Original languageEnglish
Title of host publicationSpringerBriefs in Computer Science
PublisherSpringer
Pages13-20
Number of pages8
Edition9783319571829
DOIs
Publication statusPublished - 1 Jan 2017

Publication series

NameSpringerBriefs in Computer Science
Number9783319571829
Volume0
ISSN (Print)2191-5768
ISSN (Electronic)2191-5776

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