On dynamics of iterative techniques for nonlinear equation with applications in engineering

DOI10.1155/2020/5853296zbMath1459.65061OpenAlexW3037366070MaRDI QIDQ779549

A. Othman Almatroud, Saima Akram, Naila Rafiq, Nazir Ahmad Mir, Mudassir Shams

Publication date: 13 July 2020

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/5853296

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (3)

On highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously ⋮ Inverse numerical iterative technique for finding all roots of nonlinear equations with engineering applications ⋮ A family of optimal eighth order iteration functions for multiple roots and its dynamics

Cites Work

• On the convergence of high-order Ehrlich-type iterative methods for approximating all zeros of a polynomial simultaneously
• Semilocal convergence of Chebyshev-like root-finding method for simultaneous approximation of polynomial zeros
• On the local convergence of Ehrlich method for numerical computation of polynomial zeros
• Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation
• Some families of two-step simultaneous methods for determining zeros of nonlinear equations
• Finding the roots of a polynomial on an MIMD multicomputer
• Construction of Newton-like iteration methods for solving nonlinear equations
• A composite fourth-order iterative method for solving nonlinear equations
• On the convergence of Halley's method for simultaneous computation of polynomial zeros
• New modifications of Potra-Pták's method with optimal fourth and eighth orders of convergence
• A fourth order iterative method for solving nonlinear equations
• A general semilocal convergence theorem for simultaneous methods for polynomial zeros and its applications to Ehrlich's and Dochev-Byrnev's methods
• On some methods for the simultaneous determination of polynomial zeros
• Stability and applicability of iterative methods with memory
• Generating root-finder iterative methods of second order: convergence and stability
• Chaos in King's iterative family
• Some variants of King's fourth-order family of methods for nonlinear equations
• Convergence analysis of Sakurai-Torii-Sugiura iterative method for simultaneous approximation of polynomial zeros
• Some fourth-order iterative methods for solving nonlinear equations
• Iterative methods for simultaneous computing arbitrary number of multiple zeros of nonlinear equations
• On an efficient method for the simultaneous approximation of polynomial multiple roots
• An improvement on two iteration methods for simultaneous determination of the zeros of a polynomial
• Iteration Methods for Finding all Zeros of a Polynomial Simultaneously
• Optimal Order of One-Point and Multipoint Iteration
• On Approximation of Equations by Algebraic Equations
• A Family of Fourth Order Methods for Nonlinear Equations
• A note on \(Q\)-order of convergence
• General convergence theorems for iterative processes and applications to the Weierstrass root-finding method

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