A uniform bound for the distance to a root of complex polynomials under Newton's method

DOI10.1007/s41980-022-00704-0OpenAlexW4284962197MaRDI QIDQ2682747

Malinee Chaiya, Somjate Chaiya

Publication date: 1 February 2023

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-022-00704-0

zbMATH Keywords

Newton's methodpolynomialroot

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Iteration of real functions in one variable (26A18)

Cites Work

• On the distance to a root of polynomials
• On the number of iterations of Newton's method for complex polynomials
• ON THE DISTANCE TO A ROOT OF COMPLEX POLYNOMIALS UNDER NEWTON'S METHOD
• How to be sure of finding a root of a complex polynomial using Newton's method
• How to find all roots of complex polynomials by Newton's method.

This page was built for publication: A uniform bound for the distance to a root of complex polynomials under Newton's method