Physical Sciences → Mathematics → Numerical Analysis
Iterative Methods for Nonlinear Equations
This cluster of papers focuses on the convergence analysis and improvement of iterative methods, particularly Newton's method, for solving nonlinear equations. It explores higher-order methods, quadrature formulas, local convergence in Banach spaces, and derivative-free approaches to handle multiple roots.
30.7K works worldwide310K citations
Newton's MethodIterative MethodsConvergence AnalysisNonlinear EquationsHigher-Order MethodsQuadrature FormulasLocal ConvergenceMultiple RootsDerivative-Free MethodsBanach Spaces
Journals publishing in this area
Articles on Scinovex in this research area
19 articles, most cited first
- Variational iteration method for solving coupled nonlinear system of Klein-Gordon equationsInternational Journal of Statistics and Applied Mathematics · 2022 · 1 citations
- Stability of iterative algorithms in inner product spaces: An analysis based on the Cauchy-schwarz inequalityInternational Journal of Statistics and Applied Mathematics · 2025 · 0 citations
- The product of two Hypergeometric Functions 1F1(x): Few special casesInternational Journal of Statistics and Applied Mathematics · 2025 · 0 citations
- Geometric properties of convolution: Normalized miller-ross function and l-hypergeometric functionsInternational Journal of Statistics and Applied Mathematics · 2024 · 0 citations
- Generalization of convergence of a class of iterative sequences with variable coefficientsInternational Journal of Statistics and Applied Mathematics · 2024 · 0 citations
- Investigating convergence rates of iterative methods with applications to amazon rainfall patternsInternational Journal of Statistics and Applied Mathematics · 2024 · 0 citations
- Finite double integral representation for the classical polynomial Set Jn{(xm), y} of several variablesInternational Journal of Statistics and Applied Mathematics · 2023 · 0 citations
- On the solution of riccati matrix differential equations by an improved variational iteration schemeInternational Journal of Statistics and Applied Mathematics · 2023 · 0 citations
- Solve two kinds of generalized integrals by using gamma functionInternational Journal of Statistics and Applied Mathematics · 2020 · 0 citations
- How to construct an auxiliary function to prove problems related to differential mean value theoremInternational Journal of Statistics and Applied Mathematics · 2019 · 0 citations
- The order completion method for nonlinear partial differential equationsInternational Journal of Statistics and Applied Mathematics · 2018 · 0 citations · AI summary
- Modified Frontini-Sormani iterative method for solving systems of nonlinear equations with singular JacobianInternational Journal of Statistics and Applied Mathematics · 2018 · 0 citations
- Analytical expressions of a third grade fluid flow through porous medium using the Homotopy perturbation methodInternational Journal of Statistics and Applied Mathematics · 2018 · 0 citations
- Differential algebraic interpretation with dense singularities of the order completion methodInternational Journal of Statistics and Applied Mathematics · 2018 · 0 citations
- Radiation effect on terminal velocity of a vertically falling non-spherical particle by diagonal Pade’ [3/3] ApproximantsInternational Journal of Statistics and Applied Mathematics · 2018 · 0 citations
- Fourth-order Steffensen type methods for nonlinear equationsInternational Journal of Statistics and Applied Mathematics · 2017 · 0 citations · AI summary
- Approximate Analytical Solutions of Fractional Nonlinear Physical Differential EquationsInternational Journal of Statistics and Applied Mathematics · 2016 · 0 citations · AI summary
- Some Recursive relations of Chebyshev polynomials using standard Recurrence formulasInternational Journal of Statistics and Applied Mathematics · 2016 · 0 citations
- A Relation between Laplace and Hankel transform of three variablesInternational Journal of Statistics and Applied Mathematics · 2016 · 0 citations