Results 71 to 80 of about 11,001,635 (256)

Kantorovich’s majorants principle for Newton’s method

open access: yes
Kantorovich’s theorem, Newton’s method,
B. Svaiter, O. Ferreira
core   +1 more source

Continuation of Newton’s Method Through Bifurcation Points

open access: yes, 1969
A modification of Newton’s method is suggested that provides a practical means of continuing solutions of nonlinear differential equations through limit points or bifurcation points.
G. A. Thurston
core   +1 more source

Comparison between Newton’s Method and a new Scaling Newton Method / Ramizah Baharuddin [PDF]

open access: yes, 2021
Newton's Method also called the Newton-Raphson method is a recursive algorithm for approximating the root of a differentiable function. Being one of the most widely used method of root finding, the procedure attempt to find a solution of the equation f ...
Baharuddin, Ramizah
core  

LLM‐Integrated Human–Robot Interaction System for Microrobots

open access: yesAdvanced Robotics Research, EarlyView.
This paper proposes an LLM‐based control framework for guiding microrobots using human natural language. This framework can convert the natural human speech into safe and executable command sets for reliable navigation in complex environments. The experimental results show high accuracy and robustness in task performance, demonstrating the potential of
Bairong Zhu, Amar Salehi, Tingting Yu
wiley   +1 more source

An outline of Celestino Cominale’s (1722–1785) critique of Isaac Newton’s natural philosophical method

open access: yesGalilæana
This essay examines Celestino Cominale’s (1722–1785) self-proclaimed ‘anti-Newtonianism’. Between 1754 and 1770, Cominale published four volumes under the title of Anti-Newtonianismi, in which he launched a sustained attack on Newton’s natural ...
Steffen Ducheyne, Bianca Burani
doaj   +1 more source

A Novel Geometric Modification to the Newton-Secant Method to Achieve Convergence of Order 1+2 and Its Dynamics

open access: yesModelling and Simulation in Engineering, 2015
A geometric modification to the Newton-Secant method to obtain the root of a nonlinear equation is described and analyzed. With the same number of evaluations, the modified method converges faster than Newton’s method and the convergence order of the new
Gustavo Fernández-Torres
doaj   +1 more source

Optimal partitioning of Newton’s method for calculating roots

open access: yes, 1980
In this paper, an algorithm is given for calculating roots via Newton’s method initialized with a piecewise best starting approximation. The piecewise best starting approximation corresponds to an optimal partitioning of the interval of the domain of ...
Günter Meinardus, G. D. Taylor
core   +1 more source

Wireless Precise Manipulation of Tumor Spheroids Using a Millirobot Controlled by Permanent Magnetic Traps

open access: yesAdvanced Robotics Research, EarlyView.
A magnetic donut‐like millirobot is developed for label‐free pick‐and‐place of a tumor spheroid wirelessly controlled by a magnetic trap. Spheroids are important 3D multicellular culture systems that recapitulate key structural and functional features of native tissues.
Yue Gao   +8 more
wiley   +1 more source

In Situ X‐Ray Tomography and Acoustic Emission Monitoring of Damage Evolution in C/C‐SiC Composites Fabricated by Liquid Silicon Infiltration

open access: yesAdvanced Science, EarlyView.
This study investigates how the internal structure of fiber‐reinforced ceramic composites affects their resistance to damage. By combining 3D X‐ray imaging with acoustic emission monitoring during mechanical testing, it reveals how silicon distribution influences crack formation.
Yang Chen   +7 more
wiley   +1 more source

Problems and solutions by the application of Julia set theory to one-dot and multi-dots numerical methods

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
In 1977 Hubbard developed the ideas of Cayley (1879) and solved in particular the Newton-Fourier imaginary problem. We solve the Newton-Fourier and the Chebyshev-Fourier imaginary problems completely.
Anna Tomova
doaj   +1 more source

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