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Application of Newton’s method to solve optimization geodetic tasks [PDF]

E3S Web of Conferences, 2021
The article provides general information on nonlinear methods of programming. The algorithm for determining the minimum of various target functions by Newton’s method of the second order is considered.
Bykasov D. A., Zubov A. V., Mustafin M. G.   +2 more
doaj   +1 more source

Development of Creative Qualities of Students when Performing a Multi-Stage Mathematical and Information Tasks "Newton's Method for Complex Polynomials"

Современные информационные технологии и IT-образование, 2023
The proposed article describes the methodology for performing a multi-stage mathematical-informational task "Newton's Method for Complex Polynomials", aimed at developing the creative qualities of students.
Valeriy S. Sekovanov, Vladimir A. Ivkov, Alexey A. Piguzov, Larisa B. Rybina, Irina V. Shaposhnikova   +4 more
doaj   +1 more source

Approach to development of algorithms of Newtonian methods of unconstrained optimization, their software implementation and benchmarking [PDF]

Компьютерные исследования и моделирование, 2013
The approach to increase efficiency of Gill and Murray's algorithm of Newtonian methods of unconstrained optimization with step adjustment creation is offered, rests on Choleskys factorization.
Gennadiy Anatolievich Zelenkov, Anastasiya Borisovna Sviridenko   +1 more
doaj   +1 more source

Development of Thinking Flexibility of Students when Calculating the Feigenbaum Constant Using Information and Communication Technologies

Современные информационные технологии и IT-образование, 2021
The proposed article examines the methodology for developing students' thinking flexibility by combining various approaches to the implementation of educational mathematical tasks.
Valeriy Sekovanov, Vladimir Ivkov, Alexey Piguzov, Larisa Rybina   +3 more
doaj   +1 more source

An accelerated version of Newton’s method with convergence order 3+1

Results in Applied Mathematics, 2019
A root-finding method is developed that, like Newton’s Method, evaluates both the function and its first derivative once per iteration, but the new method converges at the rate 3+1, and moreover, it’s asymptotic error constant is proportional to the ...
Trevor J. McDougall, Simon J. Wotherspoon, Paul M. Barker   +2 more
doaj   +1 more source

Baker domains for Newton's method [PDF]

, 2006
We show that there exists an entire function without finite asymptotic values for which the associated Newton function tends to infinity in some invariant domain.
Bergweiler, Walter, Drasin, D., Langley, J. K.   +2 more
core   +3 more sources

Can we know what Newton's scientific method is? [PDF]

روش شناسی علوم انسانی, 2020
I have tried to retrieve Newton’s scientific method. To do so, I raise two principal questions: 1. What is Newton’s evolving scientific method that he devised in The Principia and Opticks during a period of fifty years? 2.
saeid zibakalam
doaj   +1 more source

Developments of Newton’s Method under Hölder Conditions

European Journal of Mathematical Analysis, 2022
The semi-local convergence criteria for Newton’s method are weakened without new conditions. Moreover, tighter error distances are provided as well as a more precise information on the location of the solution.
Samundra Regmi, Ioannis K. Argyros, Santhosh George, Christopher I. Argyros   +3 more
doaj   +1 more source

Newton's Method Over Global Height Fields [PDF]

, 2013
Newton's method is used to approximate roots of complex valued functions f by creating a sequence of points that converges to a root of f in the usual topology.
Faber, Xander, Towsley, Adam
core   +2 more sources