Masters Theses
Abstract
"The purpose of this study was to investigate and recommend various methods instrumental in finding the roots of a polynomial p(x) = 0. Many different methods are present today, and each has its advantages and disadvantages.
Through thorough investigation, the author has ascertained the key methods to be the method of Bisection, the Newton-Raphson method, and the Bairstow method. Special support in the form of algebraic theorems on the locations and kind of roots are extremely helpful. This combination of theorems and methods provides assurance, speed, and the ability to obtain complex roots.
The Bisnewbar method developed by this author combines the above methods and the algebraic theorems to provide a method capable of returning all real and complex roots"--Abstract, page i.
Advisor(s)
Gillett, Billy E.
Committee Member(s)
Lee, Ralph E., 1921-2010
Wellek, Robert M.
Murphy, William John
Department(s)
Computer Science
Degree Name
M.S. in Computer Science
Publisher
University of Missouri at Rolla
Publication Date
1967
Pagination
iv, 93 pages
Note about bibliography
Includes bibliographical references (pages 91-92).
Rights
© 1967 Charles Ray O'Daniel, All rights reserved.
Document Type
Thesis - Open Access
File Type
text
Language
English
Subject Headings
Polynomials -- Mathematical modelsEquations, Roots ofNumerical calculations -- Data processing
Thesis Number
T 1973
Print OCLC #
5980591
Electronic OCLC #
921147508
Recommended Citation
O'Daniel, Charles Ray, "Comparative analysis of polynomial root finding techniques" (1967). Masters Theses. 2941.
https://scholarsmine.mst.edu/masters_theses/2941