The Adamar Method in Approximate Calculation of Solutions of Unifiable Algebraic Equations
Year: 2025
Type: article
Abstract: This article is devoted to finding approximate values of the roots of polynomials in one variable using the Hadamard’s broken line. This method was first proposed by professor A.D.Bruno. Using the Hadamard’s broken line, the original is replacrd by a set of simpler polynomials, the roots of which are easy to compute. These roots provide approximations of the original polynomial’s roots, which are sufficiently accurate for clarification by other methods. The article presents several examples of using this method, and the Newton’s method is also applied for refining the obtained values. Keywords: Polynomial in one variable, Hadamard’s broken line, supercarrier, truncated polynomial, problem cone, Newton’s method
Author: M.A. Toshbekova. Sharof Rashidov Samarkand State University, Samarkand, Uzbekistan.
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6930548316
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