PROVING INVERSE-POSITIVITY OF LINEAR OPERATORS BY REDUCTION

Abstract

A method is presented to prove that a linear operator M is inverse- positive, i.e. Mu = or > o implies u = or > o. The method consists in reducing the problem for the given operator M to a simpler problem. Sometimes, iterated reductions are appropriate, for example, if M is a differential operator of higher order.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1969
Accession Number
AD0701155

Entities

People

  • John Schroeder

Organizations

  • Boeing

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Boundaries
  • Commerce
  • Convergence
  • Economic Development
  • Inequalities
  • Integrals
  • Mathematics
  • Notation
  • Scientific Research
  • Splitting

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.