NEW METHODS OF SOLVING ALGEBRAIC EQUATIONS,

Abstract

The main problem of solving an algebraic equation which is of higher degree is that of factorizing the polynomial in a product of polynomial factors of Degrees 1 and 2. A class of linear factors can be found with the aid of a power table. When these evident real roots are eliminated, the residue polynomial can be factorized in quadratic polynomial factors. A 'Table Method' is devised by which coefficient approximations can easily be found, and methods are shown for use when solving a quartic equation and when solving a sextic equation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1963
Accession Number
AD0427882

Entities

People

  • Kurt H. Haase

Organizations

  • Air Force Cambridge Research Laboratories

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Polynomials
  • Quartic Equations

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra