Zobrazeno 1 - 10
of 24 890
pro vyhledávání: '"root finding"'
Autor:
Tran-Dinh, Quoc
We propose a novel class of Nesterov's stochastic accelerated forward-reflected-based methods with variance reduction to solve root-finding problems under $\frac{1}{L}$-co-coerciveness. Our algorithm is single-loop and leverages a new family of unbia
Externí odkaz:
http://arxiv.org/abs/2406.02413
Autor:
Tran-Dinh, Quoc
We develop two novel stochastic variance-reduction methods to approximate a solution of root-finding problems applicable to both equations and inclusions. Our algorithms leverage a new combination of ideas from the forward-reflected-backward splittin
Externí odkaz:
http://arxiv.org/abs/2406.00937
It is well known that a family of $n\times n$ commuting matrices can be simultaneously triangularized by a unitary similarity transformation. The diagonal entries of the triangular matrices define the $n$ joint eigenvalues of the family. In this work
Externí odkaz:
http://arxiv.org/abs/2409.00500
The Newton-Raphson method is a fundamental root-finding technique with numerous applications in physics. In this study, we propose a parameterized variant of the Newton-Raphson method, inspired by principles from physics. Through analytical and empir
Externí odkaz:
http://arxiv.org/abs/2404.15338
Autor:
Džunić, Jovana
Publikováno v:
Applicable Analysis and Discrete Mathematics, 2023 Oct 01. 17(2), 418-431.
Externí odkaz:
https://www.jstor.org/stable/27281419
In this paper we present an algorithm to obtain the parameter planes of families of root-finding methods with several free critical points. The parameter planes show the joint behaviour of all critical points. This algorithm avoids the inconsistencie
Externí odkaz:
http://arxiv.org/abs/2401.06207
Autor:
Martin, Richard J.
We give a new improvement over Newton's method for root-finding, when the function in question is doubly differentiable. It generally exhibits faster and more reliable convergence. It can be also be thought of as a correction to Halley's method, as t
Externí odkaz:
http://arxiv.org/abs/2312.12305
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