Graduate Program
Mathematics
Degree Name
Master of Arts (MA)
Semester of Degree Completion
Fall 2019
Thesis Director
Bogdan V. Petrenko
Thesis Committee Member
Charles I. Delman
Thesis Committee Member
Andrew Parrish
Abstract
We will explore various numeric methods of finding roots of an analytic function over some open set of the complex plane. We will discuss a method of visually observing the roots, a gradient descent method for finding the roots of an analytic function, a gradient descent method for solving systems of analytic functions, and finally a method of descent that uses osculating circles to find roots of an analytic function. Of particular interest to this thesis are roots of complex polynomials. There will be examples, code snippets, and outputs of programs to illustrate all of these methods.
Recommended Citation
Koss, Richard, "Complex Varieties as Minima" (2019). Masters Theses. 4649.
https://thekeep.eiu.edu/theses/4649
