On highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously
From MaRDI portal
Publication:2167239
DOI10.1186/s13662-021-03616-1zbMath1494.65022OpenAlexW3207747521MaRDI QIDQ2167239
Nazir Ahmad Mir, Mudassir Shams, Naila Rafiq, Nasreen Kausar, Praveen Agarwal, Chun-Gil Park
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03616-1
Numerical computation of solutions to single equations (65H05) Numerical computation of roots of polynomial equations (65H04)
Related Items (2)
ON INVERSE ITERATION PROCESS FOR FINDING ALL ROOTS OF NONLINEAR EQUATIONS WITH APPLICATIONS ⋮ ON EFFICIENT FRACTIONAL CAPUTO-TYPE SIMULTANEOUS SCHEME FOR FINDING ALL ROOTS OF POLYNOMIAL EQUATIONS WITH BIOMEDICAL ENGINEERING APPLICATIONS
Cites Work
- 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
- On a family of Weierstrass-type root-finding methods with accelerated convergence
- On dynamics of iterative techniques for nonlinear equation with applications in engineering
- Finding the roots of a polynomial on an MIMD multicomputer
- On some methods for the simultaneous determination of polynomial zeros
- Inverse numerical iterative technique for finding all roots of nonlinear equations with engineering applications
- Stability and applicability of iterative methods with memory
- Accelerated iterative methods for finding solutions of nonlinear equations and their dynamical behavior
- Iterative method for solving one-dimensional fractional mathematical physics model via quarter-sweep and PAOR
- Study of dynamical behavior and stability of iterative methods for nonlinear equation with applications in engineering
- On the convergence of high-order Gargantini-Farmer-Loizou type iterative methods for simultaneous approximation of polynomial zeros
- On an efficient simultaneous method for finding polynomial zeros
- Convergence analysis of Sakurai-Torii-Sugiura iterative method for simultaneous approximation of polynomial zeros
- A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations
- Iterative methods for simultaneous computing arbitrary number of multiple zeros of nonlinear equations
- 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
- A simple algorithm for high order Newton iteration formulae and some new variants
This page was built for publication: On highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously