Results 11 to 20 of about 628,244 (116)
A Newton-Kantorovich Inverse Function Theorem in Quasi-Metric Spaces
The purpose of this work is to investigate root finding problems defined on (quasi-)metric spaces, and ranging in Euclidean spaces. The motivation for this line of inquiry stems from recent models in biology and phylogenetics, where problems of great practical significance are cast as optimization problems on (quasi-)metric spaces.
Pinta, Titus
core +7 more sources
Third order convergence theorem for a family of Newton like methods in Banach space [PDF]
Journal of Numerical Analysis and Approximation Theory, 2014 In this paper, we propose a family of Newton-like methods in Banach space which includes some well known third-order methods as particular cases. We establish the Newton-Kantorovich type convergence theorem for a proposed family and get an error estimate.
Tugal Zhanlav, Dorjgotov Khongorzul
doaj +3 more sources
A simplified proof of the Kantorovich theorem for solving equations using telescopic series [PDF]
Journal of Numerical Analysis and Approximation Theory, 2015 We extend the applicability of the Kantorovich theorem (KT) for solving nonlinear equations using Newton-Kantorovich method in a Banach space setting.
Ioannis K. Argyros, Hongmin Ren
doaj +3 more sources
Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition [PDF]
Abstract and Applied Analysis, 2012 Under the hypothesis that the first derivative satisfies some kind of weak Lipschitz conditions, a new semilocal convergence theorem for inexact Newton method is presented.
Xiubin Xu, Yuan Xiao, Tao Liu
doaj +2 more sources
New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces [PDF]
, 2006 Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the ...
Dragomir, Sever S
core +6 more sources
A survey of Optimal Transport for Computer Graphics and Computer Vision
Computer Graphics Forum, Volume 42, Issue 2, Page 439-460, May 2023., 2023 Abstract Optimal transport is a long‐standing theory that has been studied in depth from both theoretical and numerical point of views. Starting from the 50s this theory has also found a lot of applications in operational research. Over the last 30 years it has spread to computer vision and computer graphics and is now becoming hard to ignore.
Nicolas Bonneel, Julie Digne
wiley +1 more source
A fast robust numerical continuation solver to a two‐dimensional spectral estimation problem
IET Control Theory &Applications, Volume 16, Issue 9, Page 902-915, 11 June 2022., 2022 Abstract This paper presents a fast algorithm to solve a spectral estimation problem for two‐dimensional random fields. The latter is formulated as a convex optimization problem with the Itakura‐Saito pseudodistance as the objective function subject to the constraints of moment equations.
Bin Zhu, Jiahao Liu
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 Let X and Y be Banach spaces and Ω⊆X. Let f:Ω⟶Y be a single valued function which is nonsmooth. Suppose that F:X⇉2Y is a set‐valued mapping which has closed graph. In the present paper, we study the extended Newton‐type method for solving the nonsmooth generalized equation 0 ∈ f(x) + F(x) and analyze its semilocal and local convergence under the ...
M. Z. Khaton +2 more
wiley +1 more source
IET Power Electronics, Volume 14, Issue 13, Page 2179-2193, 14 October 2021., 2021 Abstract Permanent magnet machines have been used in the high‐speed drive applications due to their high‐efficiency, high‐power‐density, and wide‐speed range characteristics. However, control of such high‐speed permanent magnet machines machine is always challenging and proper flux‐weakening controller design is essential to achieve high performance of
Xiaoyu Lang +5 more
wiley +1 more source
Spatially Inhomogeneous Evolutionary Games
Communications on Pure and Applied Mathematics, Volume 74, Issue 7, Page 1353-1402, July 2021., 2021 Abstract We introduce and study a mean‐field model for a system of spatially distributed players interacting through an evolutionary game driven by a replicator dynamics. Strategies evolve by a replicator dynamics influenced by the position and the interaction between different players and return a feedback on the velocity field guiding their motion ...
Luigi Ambrosio +3 more
wiley +1 more source