Solution of complex polynomial equations using surrogate equation (with computer program)

Date of Publication

1991

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 introduces a new algorithm in finding the roots of a complex polynomial equation. The algorithm uses a mathematical formula which resembles the formula of Newton's method. The complete proof of the theorem which supports the new algorithm is presented.To show the efficiency of the new algorithm, it is compared with Newton's method. Both methods were applied on common complex polynomial equations. The methods were compared based on the speed of computation and accuracy.Included in this paper is a computer program written in Turbo Pascal version 4.0. The program accepts polynomial equations whose numerical coefficients follow the format of a comlex number. The program further restricts the user from using equations of degree greater than 10.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU05697

Shelf Location

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

Physical Description

74 numb. leaves

Keywords

Polynomials; Equations; Computer programs

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