VATAR OF METHOD
##semicolon##
secant method, iterative method, algebraic equation, numerical methods, root finding.##article.abstract##
This article explores the secant method, an iterative numerical technique used to approximate the roots of nonlinear algebraic equations. Unlike the Newton-Raphson method, which requires the computation of derivatives, the secant
method relies on drawing a secant line through two initial approximations to generate successive estimates of the root. The paper discusses the theoretical foundation of the method, its advantages and limitations, and provides a step-by-step implementation
using the Python programming language. A detailed example is presented to demonstrate how the secant method can be effectively applied to find the positive root of a specific algebraic equation. Due to its simplicity and ease of implementation, the
secant method remains a practical and widely used tool in numerical analysis.
##submission.citations##
1. Karimov A.K., Tursunov A.T. Computational Mathematics. – Tashkent: «Science
and Technology», 2018.
2. Rashidov M.A. Numerical Methods. – Tashkent: Ministry of Higher and Secondary
Specialized Education of the Republic of Uzbekistan, 2019. 3. Burden R.L., Faires J.D. Numerical Analysis. – Boston: Cengage Learning, 2011.
4. Atkinson K.E. An Introduction to Numerical Analysis. – Wiley, 2004.
5. Lutz M. Python Programming Language. Beginner's Guide. – Tashkent:
INNOVATSION NASHRIYOT, 2022
6. Chapra S.C., Canale R.P. Applied Numerical Methods with Python for Engineers
and Scientists. – McGraw-Hill Education, 2021.
