"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.
Gillett, Billy E.
Lee, Ralph E., 1921-2010
Wellek, Robert M.
Murphy, William John
M.S. in Computer Science
University of Missouri at Rolla
iv, 93 pages
© 1967 Charles Ray O'Daniel, All rights reserved.
Thesis - Open Access
Polynomials -- Mathematical models
Equations, Roots of
Numerical calculations -- Data processing
Print OCLC #
Electronic OCLC #
Link to Catalog Record
O'Daniel, Charles Ray, "Comparative analysis of polynomial root finding techniques" (1967). Masters Theses. 2941.