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Tuyen Trung

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Articles by Tuyen Trung

[2405.05834] The Riemann hypothesis and dynamics of Backtracking New Q-Newton's method

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By Tuyen Trung, Thuan Quang
| arXiv
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[2401.01393] Backtracking New Q-Newton's method, Newton's flow, Voronoi's diagram and Stochastic root finding

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By John Erik, Tuyen Trung
| arXiv
[Submitted on 2 Jan 2024 ( v1 ), last revised 8 Jan 2024 (this version, v2)] Title:Backtracking New Q-Newton's method, Newton's flow, Voronoi's diagram and Stochastic root finding Download a PDF of the paper titled Backtracking New Q-Newton's method, Newton's flow, Voronoi's diagram and Stochastic root finding, by John Erik Fornaess and 3 other authors Download PDF HTML (experimental) Abstract:A new variant of Newton's method - named Backtracking New Q-Newton's method (BNQN) - which has...
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[2309.11475] Creating walls to avoid unwanted points in root finding and optimization

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By Tuyen Trung
| arXiv
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
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A Fast and Simple Modification of Newton’s Method Avoiding Saddle Points

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By Tat Dat, Thu Hang, Hoang Phuong, Tuyen Trung
| paperity.org
Journal of Optimization Theory and Applications, Jul 2023 We propose in this paper New Q-Newton’s method. The update rule is conceptually very simple, using the projections to the vector subspaces generated by eigenvectors of positive (correspondingly negative) eigenvalues of the Hessian.
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