Chapter 2 Moments

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


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.


Borel Measure Moment Problem Convex Polytope Hankel Matrix Moment Matrix 
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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

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