TEST FOR POSITIVITY OF A PRESCRIBED POLYNOMIAL,

Abstract

The prime purpose of this paper is to outline tests which yield information about the number of real roots, and the positivity, of a prescribed polynomial. The Sturm-Routh test is reviewed and use of a Routh array for executing a Strum test is explained; a Markov test based on Markov parameters is reviewed, and a modified version of a test due to Fujiwara is given, this with its relation to the Markov parameter test. Finally, a test in the language of linear system theory is given, and a relation is noted between this and the Fujiwara test. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1970
Accession Number
AD0710309

Entities

People

  • Brian Anderson

Organizations

  • Southern Methodist University

Tags

DTIC Thesaurus Topics

  • Australia
  • Cognitive Systems Engineering
  • Cooperation
  • Electrical Engineering
  • Engineering
  • Interdisciplinary Science
  • Language
  • Linear Systems
  • Mechatronic Engineering
  • Polynomials
  • Systems Engineering
  • Systems Science

Fields of Study

  • Mathematics

Readers

  • Geochemistry
  • Linear Algebra
  • Statistical inference.