Results 31 to 40 of about 10,998,730 (181)
A new semilocal convergence theorem for Newton's method [PDF]
, 1997 A new semilocal convergence theorem for Newton's method is established for solving a nonlinear equation F(x) = 0, defined in Banach spaces. It is assumed that the operator F is twice Fréchet differentiable, and F″ satisfies a Lipschitz type condition ...
JoséM Gutiérrez +2 more
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A modification of the classical Kantorovich conditions for Newton's method [PDF]
, 2001 In the classical Kantorovich theorem on Newton's method it is assumed that the second Fréchet derivative of the involved operator satisfies the condition ||F″(x)||⩽K in an appropiate domain.
Hernández, null [0000-0001-5478-2958] +1 more
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A Practical, Robust and Fast Method for Location Localization in Range-Based Systems
Sensors, 2017 Location localization technology is used in a number of industrial and civil applications. Real time location localization accuracy is highly dependent on the quality of the distance measurements and efficiency of solving the localization equations.
Shiping Huang, Zhifeng Wu, Anil Misra
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A semilocal convergence result for Newton's method under generalized conditions of Kantorovich [PDF]
, 2014 From Kantorovich's theory we establish a general semilocal convergence result for Newton's method based fundamentally on a generalization required to the second derivative of the operator involved. As a consequence, we obtain a modification of the domain
Hernández-Verón, M.A. [0000-0001-5478-2958] +2 more
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Student’s concept ability of Newton’s law based on verbal and visual test
International Journal of Science and Applied Science: Conference Series, 2017 Newton’s law is a foundamental concept that needs to be studied and understood correctly. Concept presentation in different representation will help the student to understand the concept that being learned.
N. D. Setyani +3 more
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Real dynamics for damped Newton's method applied to cubic polynomials
, 2015 In this paper we study the real dynamics of the damped Newton's methods applied to cubic polynomials, but instead of taking a value of the damping factor λ∈(0,1), we consider all values of λ∈R.
Gutiérrez, José Manuel [0000-0002-0434-7250] +1 more
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Newton's method and regularly smooth operators
Journal of Numerical Analysis and Approximation Theory, 2011 A semilocal convergence analysis for Newton's method in a Banach space setting is provided in this study. Using a combination of regularly smooth and center regularly smooth conditions on the operator involved, we obtain more precise majorizing sequences
Ioannis K. Argyros
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On Newton's method for subanalytic equations
Journal of Numerical Analysis and Approximation Theory, 2017 We present local and semilocal convergence results for Newton’s method in order to approximate solutions of subanalytic equations. The local convergence results are given under weaker conditions than in earlier studies such as [9], [10], [14], [15], [24]
Ioannis K. Argyros, Santhosh George
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, 2011 This Demonstration illustrates geometrically Newton's method for approximating roots. The available functions illustrate places where Newton's method yields interesting behaviorComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Sharp, Angela +2 more
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Chaplygin's method is Newton's method
Journal of Mathematical Analysis and Applications, 1978 This method has been extended to ordinary differential equations in [w” by Lusin [6], to ordinary differential equations in Banach spaces by Mlak [8] and to parabolic equations by Mlak [7] and Szarki [15, Sect. 661. In each case a different type of hypotheses is assumed. A formal generalization considered by Wazewski [18] has been found by Schelkunoff [
openaire +3 more sources