Solving quintic polynomial equations using Graeffe's method (with computer program)

Date of Publication

1992

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This paper presents an algorithm in finding the real roots of the general quintic polynomial equation. The algorithm uses the formula of Graeffe's Method. Likewise, it incorporates Descartes' Rule of Signs. Included in this paper is a computer program written in Turbo Pascal version 5.5. The program accepts quintic polynomial equations whose numerical coefficients are all real.In case a pair of imaginary roots occurs, only the real roots of that quintic equation will be shown. A graph is supplied to show the efficiency of the program.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU05854

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

49 numb. leaves

Keywords

Problem solving; Equations, Quintic; Polynomials; Graphic methods--Computer programs; Numerical analysis; Algorithms; Computer programs; Quintic equations

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