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Bounds on elementary symmetric functions

Authors
Journal
Linear Algebra and its Applications
0024-3795
Publisher
Elsevier
Volume
448
Identifiers
DOI: 10.1016/j.laa.2014.01.010
Keywords
  • Discriminant
  • Hankel Matrices
  • Moments
  • Newton Identities
  • Vandermonde Matrix

Abstract

Abstract Tight bounds on an elementary symmetric function are established under the assumption that the values of the elementary symmetric functions of lower orders are given. The explicit form of the inverse Hankel moment matrix leads to inequalities for moments and for elementary symmetric polynomials.

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