Elementary Proofs of an Inequality for Symmetric Functions for n < or = 5.

Abstract

Some aspects of the heat transfer in the emergency cooling of nuclear reactors lead to a nonlinear eigenvalue problem, the so-called model quelch front problem. Laquer and Wendroff suggested a procedure for computing bounds of the eigenvalue which depend - among other things - on the validity of a certain inequality for elementary symmetric functions. This inequality is of interest in itself and was recently proved by Efroymson, Swartz and Wendroff using a fairly complicated argument. We give an elementary proof for n < or = 5.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1980
Accession Number
ADA093574

Entities

People

  • Roland Zielke

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Computations
  • Continents
  • Geographic Regions
  • Heat Transfer
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North America
  • North Carolina
  • Numbers
  • Polynomials
  • Real Numbers
  • Sequences
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Theoretical Analysis.