METHODS OF RATIONALIZATION OF DENOMINATORS OF POLYNOMIALS WITH IRRATIONAL ROOTS: APPLICATION OF SYLVESTER MATRIX AND RESULTANT
Keywords:
Keywords: denominator rationalization, irrational roots, Sylvester matrix, resultant, Bezu identity, and polynomials.Abstract
Annotation: This study explores advanced techniques for rationalizing polynomial denominators with irrational roots through the application of Sylvester matrices and resultants. The proposed methods aim to simplify complex mathematical expressions, contributing to improved computational precision in diverse fields such as physics, engineering, and theoretical computer science.
References
REFERENCES:
Kalinina, E. A., & Uteshev, A. Yu. (2002). Theory of Exclusion: Textbook. Saint Petersburg: Research Institute of Chemistry SPbSU. 72 pp.
Kostrikin, A. I. (2004). Introduction to algebra. Fundamentals of algebra. Textbook for students of mathematical specialities of universities. Moscow: Nauka. 478 pp.
Downloads
Published
2024-11-18
