Results 41 to 50 of about 8,180,306 (262)
Extended Kung–Traub Methods for Solving Equations with Applications
Mathematics, 2021 Kung and Traub (1974) proposed an iterative method for solving equations defined on the real line. The convergence order four was shown using Taylor expansions, requiring the existence of the fifth derivative not in this method. However, these hypotheses
Samundra Regmi +4 more
doaj +1 more source
Numerical Processes for Approximating Solutions of Nonlinear Equations
Axioms, 2022 In this article, we present generalized conditions of three-step iterative schemes for solving nonlinear equations. The convergence order is shown using Taylor series, but the existence of high-order derivatives is assumed.
Samundra Regmi +3 more
doaj +1 more source
On convergence of the maximum block improvement method [PDF]
, 2015 . The MBI (maximum block improvement) method is a greedy approach to solving optimization problems where the decision variables can be grouped into a finite number of blocks. Assuming that optimizing over one block of variables while fixing all others is
Shuzhong Zhang +5 more
core +1 more source
On the Ostrowski Method for Solving Equations
European Journal of Mathematical Analysis, 2021 In this paper, we revisited the Ostrowski's method for solving Banach space valued equations. We developed a technique to determine a subset of the original convergence domain and using this new Lipschitz constants derived.
Ioannis K. Argyros +2 more
doaj +1 more source
Extended domain for fifth convergence order schemes
Cubo, 2021 We provide a local as well as a semi-local analysis of a fifth convergence order scheme involving operators valued on Banach space for solving nonlinear equations.
Ioannis K. Argyros, Santhosh George
doaj +1 more source
On semi-convergence of modified HSS iteration methods
, 2013 We discuss semi-convergence of the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method for solving a broad class of complex symmetric singular linear systems. The semi-convergence theory of the MHSS iteration method is established. In
陈芳, 刘青泉
core +1 more source
Stability and sensitivity analysis of stochastic programs with second order dominance constraints [PDF]
, 2010 In this paper we present stability and sensitivity analysis of a stochastic optimization problem with stochastic second order dominance constraints. We consider perturbation of the underlying probability measure in the space of regular measures equipped ...
Xu, Huifu +3 more
core +2 more sources
Enhancing Equation Solving: Extending the Applicability of Steffensen-Type Methods
Mathematics, 2023 Local convergence analysis is mostly carried out using the Taylor series expansion approach, which requires the utilization of high-order derivatives, not iterative methods.
Ramandeep Behl +2 more
doaj +1 more source
Multistep Iterative Methods for Solving Equations in Banach Space
MathematicsThe novelty of this article lies in the fact that we extend the use of a multistep method for developing a sequence whose limit solves a Banach space-valued equation. We suggest the error estimates, local convergence, and semi-local convergence, a radius
Ramandeep Behl +4 more
doaj +1 more source
Fundamental Journal of Mathematics and Applications, 2019 The objective of this study is to extend the usage of Newton's method for Banach space valued operators. We use our new idea of restricted convergence domain in combination with the center Lipschitz hypothesis on the Frechet-derivatives where the center is not necessarily the initial point.
IIoannis K Argyros, Santhosh GEORGE
openaire +2 more sources