Zobrazeno 1 - 10
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pro vyhledávání: '"Truong, Tuyen"'
Autor:
Tran, Thuan Quang, Truong, Tuyen Trung
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 global convergence guarantees, specially concerning finding roots of meromorphic functions. This p
Externí odkaz:
http://arxiv.org/abs/2405.05834
A new variant of Newton's method - named Backtracking New Q-Newton's method (BNQN) - which has strong theoretical guarantee, is easy to implement, and has good experimental performance, was recently introduced by the third author. Experiments perform
Externí odkaz:
http://arxiv.org/abs/2401.01393
A new variant of Newton's method - named Backtracking New Q-Newton's method (BNQN) - which has strong theoretical guarantee, is easy to implement, and has good experimental performance, was recently introduced by the third author. Experiments perform
Externí odkaz:
http://arxiv.org/abs/2312.12166
A basic problem in the study of algebraic morphisms is to determine which sets can be realised as the image of an endomorphism of affine space. This paper extends the results previously obtained by the first author on the question of existence of sur
Externí odkaz:
http://arxiv.org/abs/2311.08238
Autor:
Truong, Tuyen Trung
In root finding and optimization, there are many cases where there is a closed set $A$ one likes that the sequence constructed by one's favourite method will not converge to A (here, we do not assume extra properties on $A$ such as being convex or co
Externí odkaz:
http://arxiv.org/abs/2309.11475
Autor:
Truong, Tuyen Trung
In this paper, by combining the algorithm New Q-Newton's method - developed in previous joint work of the author - with Armijo's Backtracking line search, we resolve convergence issues encountered by Newton's method (e.g. convergence to a saddle poin
Externí odkaz:
http://arxiv.org/abs/2209.05378
Publikováno v:
Nonlinearity, 2024
We study a family of birational maps of smooth affine quadric 3-folds, {over the complex numbers}, of the form $x_1x_4-x_2x_3=$ constant, which seems to have some (among many others) interesting/unexpected characters: a) they are cohomologically hype
Externí odkaz:
http://arxiv.org/abs/2208.14327
We prove that the topological entropy of any dominant rational self-map of a projective variety defined over a complete non-Archimedean field is bounded from above by the maximum of its dynamical degrees, thereby extending a theorem of Gromov and Din
Externí odkaz:
http://arxiv.org/abs/2208.00668
Recent advances in digital imaging, e.g., increased number of pixels captured, have meant that the volume of data to be processed and analyzed from these images has also increased. Deep learning algorithms are state-of-the-art for analyzing such imag
Externí odkaz:
http://arxiv.org/abs/2204.08462