Complex Varieties as Minima

  • Richard Koss

Student thesis: Master's ThesisMaster of Arts (MA)

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.
Date of Award2019
Original languageAmerican English
Awarding Institution
  • Eastern Illinois University
SupervisorBogdan Petrenko (Supervisor)

ASJC Scopus Subject Areas

  • Analysis

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