THE SOLUTION OF ALGEBRAIC EQUATIONS BY ROOT FINDING TABLES PART I-INSTRUCTIONS,

Abstract

A technique is presented for factoring polynomial of odd degree as a product of one or three linear polynomial factors and a residue factor that is a polynomial of even degree. A polynomial of even degree is factorized as a product of two or four linear polynomial factors and a residue polynomial of even degree. The linear polynomial factors are recognized by scanning through a power table and improved to any desired degree of accuracy and eliminated by the Horner method. A residue polynomial or a polynomial of even degree with no recognizable linear polynomial factors is factorized in a number of quadratic polynomial factors equal to half the degree of the polynomial. The coefficients of the quadratic polynomial factors are recognized by scanning through a polynomial table and improved to any degree of accuracy by the Collatz method. A polynomial of Degree 4 is factorized according to a particular technique. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
AD0428084

Entities

People

  • Kurt H. Haase

Organizations

  • Air Force Cambridge Research Laboratories

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Coefficients
  • Equations
  • Polynomials
  • Scanning

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.