Results 51 to 60 of about 241,403 (151)
Математичні Студії, 2021 In the earlier work, expensive Taylor formula and conditions on derivatives up to the eighth order have been utilized to establish the convergence of a derivative free class of seventh order iterative algorithms.
I.K. Argyros +5 more
doaj +1 more source
Abstract and Applied Analysis, 2010 We propose a new concept of set convergence in a Hadamard space and obtain its equivalent condition by using the notion of metric projections. Applying this result, we also prove a convergence theorem for an iterative scheme by the shrinking projection ...
Yasunori Kimura
doaj +1 more source
On the Convergence Ball and Error Analysis of the Modified Secant Method
Advances in Mathematical Physics, 2018 We aim to study the convergence properties of a modification of secant iteration methods. We present a new local convergence theorem for the modified secant method, where the derivative of the nonlinear operator satisfies Lipchitz condition. We introduce
Rongfei Lin +3 more
doaj +1 more source
From Averaging to Acceleration, There is Only a Step-size [PDF]
, 2015 We show that accelerated gradient descent, averaged gradient descent and the heavy-ball method for non-strongly-convex problems may be reformulated as constant parameter second-order difference equation algorithms, where stability of the system is ...
Bach, Francis, Flammarion, Nicolas
core +3 more sources
On the Convergence Analysis of Aggregated Heavy-Ball Method
, 2022 17 pages, 2 ...
openaire +3 more sources
Distributed Bayesian Filtering using Logarithmic Opinion Pool for Dynamic Sensor Networks [PDF]
, 2018 The discrete-time Distributed Bayesian Filtering (DBF) algorithm is presented for the problem of tracking a target dynamic model using a time-varying network of heterogeneous sensing agents.
Bandyopadhyay, Saptarshi, Chung, Soon-Jo
core +1 more source
Ball convergence theorem for a Steffensen-type third-order method [PDF]
Revista Colombiana de Matemáticas, 2017 We present a local convergence analysis for a family of Steffensen-type third-order methods in order to approximate a solution of a nonlinear equation. We use hypothesis up to the first derivative in contrast to earlier studies such as [2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28] using hypotheses up to ...
Argyris, Ioannis K., George, Santhosh
openaire +3 more sources
Quantification of the Banach-Saks property
, 2014 We investigate possible quantifications of the Banach-Saks property and the weak Banach-Saks property. We prove quantitative versions of relationships of the Banach-Saks property of a set with norm compactness and weak compactness. We further establish a
Bendová, Hana +2 more
core +1 more source
Functional macroscopic behavior of weighted random ball model
, 2010 We consider a generalization of the weighted random ball model. The model is driven by a random Poisson measure with a product heavy tailed intensity measure.
Breton, Jean-Christophe, Dombry, Clement
core +1 more source
Kernel convergence and biholomorphic mappings in several complex variables
International Journal of Mathematics and Mathematical Sciences, 2003 We deal with kernel convergence of domains in ℂn which are biholomorphically equivalent to the unit ball B. We also prove that there is an equivalence between the convergence on compact sets of biholomorphic mappings on B, which satisfy a growth theorem,
Gabriela Kohr
doaj +1 more source