THE ADAMAR METHOD IN APPROXIMATE CALCULATION OF SOLUTIONS OF UNIFIABLE ALGEBRAIC EQUATIONS

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

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-02-23
DOI
https://doi.org/10.5281/zenodo.14912805
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
Field-Weighted Citation Impact
0.00
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article

THE ADAMAR METHOD IN APPROXIMATE CALCULATION OF SOLUTIONS OF UNIFIABLE ALGEBRAIC EQUATIONS

Zenodo (CERN European Organization for Nuclear Research)
Iterative Methods for Nonlinear Equations
article

THE ADAMAR METHOD IN APPROXIMATE CALCULATION OF SOLUTIONS OF UNIFIABLE ALGEBRAIC EQUATIONS

article en

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

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 42%
Iterative Methods for Nonlinear Equations
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