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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. +2 more
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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 +4 more
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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 +1 more
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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 +3 more
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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 +2 more
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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
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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 +3 more
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Computing Weighted Analytic Center for Linear Matrix Inequalities Using Infeasible Newton’s Method
Journal of Mathematics, 2015 We study the problem of computing weighted analytic center for system of linear matrix inequality constraints. The problem can be solved using Standard Newton’s method.
Shafiu Jibrin
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Improved semi-local convergence of the Gauss-Newton method for systems of equations
Journal of Mathematical Sciences and Modelling, 2018 Our new technique of restricted convergence domains is employed to provide a finer convergence analysis of the Gauss-Newton method in order to solve a certain class of systems of equations under a majorant condition. The advantages are obtained under the
Santhosh George, İoannis K Argyros
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