The Riemann hypothesis and dynamics of Backtracking New Q-Newton's method

TQ Tran, TT Truong - arxiv preprint arxiv:2405.05834, 2024 - arxiv.org
A new variant of Newton's method-named Backtracking New Q-Newton's method (BNQN)-
was recently introduced by the second author. This method has good convergence …

Backtracking New Q-Newton's method for finding roots of meromorphic functions in 1 complex variable: Global convergence, and local stable/unstable curves

JE Fornæss, M Hu, TT Truong - arxiv preprint arxiv:2412.02476, 2024 - arxiv.org
In this paper, we research more in depth properties of Backtracking New Q-Newton's method
(recently designed by the third author), when used to find roots of meromorphic functions. If …

[PDF][PDF] The purpose of this conference is to bring together researchers in geometry, topology, algebra, analysis and dynamical systems and to provide for them a forum …

V Balan, T Banakh, D Bolotov, V Boyko, Y Fedchenko… - card-file.ontu.edu.ua
Let E be an oriented vector bundle over a manifold M of rank 4n and ha neutral metric of E.
We call a section N of EndE a nilpotent structure of E if on a neighborhood of each point of …

A new Newton-type method and connections to Schroder theorem, Voronoi's diagrams, Newton's flows and the Riemann hypothesis

TT Truong - The purpose of this conference is to bring together … - imath.kiev.ua
A new Newton-type method and connections to Schroder theorem, Voronoi’s diagrams,
Newton’s flows and the Riemann hypothesis Page 125 A new Newton-type method and …