Complex polynomials in engineering

TL;DR

This paper introduces efficient algorithms for evaluating complex polynomials in one and two variables, addressing computational challenges in various engineering applications.

Contribution

It presents new, straightforward evaluation algorithms that reduce the number of arithmetic operations needed for complex polynomial evaluation.

Findings

Algorithms significantly reduce computation time.

Applicable to control systems, signal processing, and coding theory.

Demonstrated improved efficiency over existing methods.

Abstract

Techniques for the evaluation of complex polynomials with one and two variables are introduced. Polynomials arise in may areas such as control systems, image and signal processing, coding theory, electrical networks, etc., and their evaluations are time consuming. This paper introduces new evaluation algorithms that are straightforward with fewer arithmetic operations.