Generalized Convergence for Multi-Step Schemes under Weak Conditions
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. This way, we know in advance the number of iterations required to reach a predetermined error tole...
Main Authors: | Ramandeep Behl, Ioannis K. Argyros, Hashim Alshehri, Samundra Regmi |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2024-01-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/12/2/220 |
Similar Items
-
Direct Comparison between Two Third Convergence Order Schemes for Solving Equations
by: Samundra Regmi, et al.
Published: (2020-07-01) -
Convergence Criteria of Three Step Schemes for Solving Equations
by: Samundra Regmi, et al.
Published: (2021-12-01) -
Local Convergence for Multi-Step High Order Solvers under Weak Conditions
by: Ramandeep Behl, et al.
Published: (2020-02-01) -
Convergence of Higher Order Jarratt-Type Schemes for Nonlinear Equations from Applied Sciences
by: Ramandeep Behl, et al.
Published: (2021-06-01) -
Convergence Criteria of a Three-Step Scheme under the Generalized Lipschitz Condition in Banach Spaces
by: Akanksha Saxena, et al.
Published: (2022-10-01)