Algebraic Function Evaluation: Techniques, Applications, and Optimization

Abstract

Algebraic function evaluation is a fundamental mathematical process with widespread applications in engineering, science, and computational mathematics. This paper presents an in-depth exploration of techniques, applications, and optimization strategies for algebraic function evaluation. Through a comprehensive review of relevant literature, the paper examines various methods used to efficiently compute the values of algebraic functions. The abstract discusses key concepts such as polynomial evaluation, rational function approximation, and series expansion techniques. It highlights the importance of algebraic function evaluation in diverse fields, including numerical analysis, computer graphics, signal processing, and cryptography. Additionally, the abstract addresses challenges such as numerical stability, computational complexity, and accuracy requirements inherent in algebraic function evaluation. Moreover, the paper explores optimization techniques aimed at improving the efficiency and accuracy of algebraic function evaluation algorithms. This includes approaches such as parallel computing, numerical stability enhancements, and algorithmic optimizations tailored to specific function classes. By synthesizing existing research findings and identifying emerging trends, this paper offers insights into the current state-of-the-art in algebraic function evaluation. It also identifies potential areas for future research and development, highlighting opportunities for advancing computational techniques and enhancing the performance of algebraic function evaluation algorithms.

Cite as:

A. D. Awasare. (2024). Algebraic Function Evaluation: Techniques, Applications, and Optimization. Journal of Applied Mathematics and Statistical Analysis, 5(2), 15–20. 

https://doi.org/10.5281/zenodo.11208194