Advertisement

Chapter 2 Moments

  • Roberto Cominetti
  • Francisco Facchinei
  • Jean B. Lasserre
Chapter
Part of the Advanced Courses in Mathematics - CRM Barcelona book series (ACMBIRK)

Abstract

Most results of this chapter are dual analogues of those described in Chapter 1. Indeed, the problem of representing polynomials that are positive on a set K \(\subset \mathbb{R}^{n}\) has a dual facet which is the problem of characterizing sequences of reals that are moment sequences of some finite Borel measure supported on K.

Keywords

Borel Measure Moment Problem Convex Polytope Hankel Matrix Moment Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Basel 2012

Authors and Affiliations

  • Roberto Cominetti
    • 1
  • Francisco Facchinei
    • 2
  • Jean B. Lasserre
    • 3
  1. 1.Departamento de Ingeniería IndustrialUniversidad de ChileSantiago de ChileChile
  2. 2.Department of Computer, Control, and Management Engineering Antonio RubertiUniversità di Roma “La Sapienza”RomaItaly
  3. 3.LAAS-CNRSToulouseFrance

Personalised recommendations