Results 81 to 90 of about 331,959 (146)
Ostrowski-Kantorovich theorem and $S$-order of convergence of Halley method in Banach spaces [PDF]
, 1993 summary:Ostrowski-Kantorovich theorem of Halley method for solving nonlinear operator equations in Banach spaces is presented. The complete expression of an upper bound for the method is given based on the initial information. Also some properties of $S$-
Chen, Dong
core +1 more source
Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition
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 +1 more source
On the Kantorovich Theorem and the Regularization of Total Variation Denoising Problems
Rocky Mountain Journal of Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Melara, L.A., Kearsley, A.J.
openaire +3 more sources
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
core +1 more source
Interpolation for neural-network operators activated with a generalized logistic-type function
Journal of Inequalities and ApplicationsThis paper defines a family of neural-network interpolation operators. The first derivative of generalized logistic-type functions is considered as a density function.
Hande Uyan +3 more
doaj +1 more source
A new Kantorovich-type theorem for Newton's method [PDF]
, 1999 A new Kantorovich-type convergence theorem for Newton's method is established for approximating a locally unique solution of an equation F(x)=0 defined on a Banach space. It is assumed that the operator F is twice Fréchet differentiable, and that F', F''
Argyros, Ioannis
core
On the \(L_{p}\)-saturation of the Ye-Zhou operator
Journal of Numerical Analysis and Approximation Theory, 2005 We solve the saturation problem for a class of Ye-Zhou operator \(T_{n}( f , x ) = P_{n}( x ) A_{n} L_{n}( f )\) with suitable sequence of matrices \(\{ A_{n} \}_{n \geq 1}.\) The solution is based on the saturation theorem for the Kantorovich operator ...
Zoltán Finta
doaj +2 more sources
Parametrized Kantorovich-Rubinstein theorem and application to the coupling of random variables
, 2004 date de rédaction 22 octobre 2004We prove a version for random measures of the celebrated Kantorovich-Rubinstein duality theorem and we give an application to the coupling of random variables which extends and unifies known ...
Prieur, Clémentine +2 more
core +3 more sources
A one-sided version of a theorem of Kantorovich
, 2007 Using elementary differential inequality methods we prove an improvement of a theorem of Kantorovich concerning solutions of nonlinear equations in Banach ...
Herzog, Gerd, Lemmert, Roland
core
Linear and non-linear price decentralization [PDF]
Compendious and thorough solutions to the existence of a linear price equilibrium problem, the second welfare theorem, and the limit theorem on the core are provided for exchange economies whose consomption sets are the positive cone of arbitrary ordered
Monique Florenzano +2 more
core