Results 71 to 80 of about 471,211 (145)

Convergence analysis of a class of iterative methods: a unified approach

Mathematical Modelling and Analysis
In this paper, we study the convergence of a class of iterative methods for solving the system of nonlinear Banach space valued equations. We provide a unified local and semi-local convergence analysis for these methods.
Muniyasamy Murugan, Chandhini Godavarma, Santhosh George, Indra Bate, Kedarnath Senapati   +4 more
doaj   +1 more source

Extending the Applicability of a Two-Step Vectorial Method with Accelerators of Order Five for Solving Systems of Equations

Mathematics
The local convergence analysis of a two-step vectorial method of accelerators with order five has been shown previously. But the convergence order five is obtained using Taylor series and assumptions on the existence of at least the fifth derivative of ...
Ioannis K. Argyros, Stepan Shakhno, Yurii Shunkin, Samundra Regmi, Nirjal Shrestha   +4 more
doaj   +1 more source

Generalized Convergence for Multi-Step Schemes under Weak Conditions

Mathematics
We have developed a local convergence analysis for a general scheme of high-order convergence, aiming to solve equations in Banach spaces. A priori estimates are developed based on the error distances.
Ramandeep Behl, Ioannis K. Argyros, Hashim Alshehri, Samundra Regmi   +3 more
doaj   +1 more source

A robust semi-local convergence analysis of Newton’s method for cone inclusion problems in Banach spaces under affine invariant majorant condition

Journal of Computational and Applied Mathematics, 2015
A semi-local analysis of Newton's method for solving nonlinear inclusion problems in Banach space is presented in this paper. Under a affine majorant condition on the nonlinear function which is associated to the inclusion problem, the robust convergence of the method and results on the convergence rate are established.
openaire   +3 more sources

A Study of at Least Sixth Convergence Order Methods Without or with Memory and Divided Differences for Equations Under Generalized Continuity

Mathematics
Multistep methods typically use Taylor series to attain their convergence order, which necessitates the existence of derivatives not naturally present in the iterative functions. Other issues are the absence of a priori error estimates, information about
Ioannis K. Argyros, Ramandeep Behl, Sattam Alharbi, Abdulaziz Mutlaq Alotaibi   +3 more
doaj   +1 more source

On Local and Semi-Local Convergence Analysis of A High-Order Iterative Method for Solving Nonlinear Systems Without High Derivatives

European Journal of Mathematical Analysis
In this paper, we study a general high-order iterative method for solving nonlinear systems in Banach spaces without requiring higher-order derivatives. The proposed method constructs each iteration by combining evaluations of the operator and its derivative, together with an adapted correction scheme.
Ioannis K. Argyros, Stepan Shakhno, Yurii Shunkin, Samundra Regmi, Christopher I. Argyros   +4 more
openaire   +1 more source

Secure aggregation for semi-decentralized federated learning under heterogeneous data

网络与信息安全学报
Semi-decentralized federated learning has gained attention for combining the advantages of centralized and decentralized approaches, thereby enhancing system scalability and flexibility. However, in the open heterogeneous federated learning architecture,
HUANG Mei, WANG Lingling, ZHANG Zhengyin, LIU Yufei, SUN Yitong   +4 more
doaj  

Extensions to Extended Tight-Binding Methods for Transition-Metal Containing Systems. [PDF]

J Comput Chem
Moradi S, Tomann R, Head-Gordon M, Stein CJ.   +3 more
europepmc   +1 more source

Enhancing breast magnetic resonance imaging segmentation with a federated semi-supervised approach. [PDF]

Sci Rep
Zheng B, Hou J, Zheng Z, Ma H.
europepmc   +1 more source

A Partitioned Finite Difference Method for Heat Transfer with Moving Line and Plane Heat Sources. [PDF]

Entropy (Basel)
Li J, Jiang Y.
europepmc   +1 more source