Convergence analysis of Sakurai-Torii-Sugiura iterative method for simultaneous approximation of polynomial zeros
From MaRDI portal
Publication:2424923
DOI10.1016/j.cam.2019.02.021zbMath1415.65115OpenAlexW2916725184WikidataQ128322349 ScholiaQ128322349MaRDI QIDQ2424923
Stoil I. Ivanov, Petko D. Proinov
Publication date: 25 June 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2019.02.021
error estimatessemilocal convergencelocal convergencepolynomial zerositeration methodssimultaneous methods
Related Items (9)
ON HIGHLY EFFICIENT SIMULTANEOUS SCHEMES FOR FINDING ALL POLYNOMIAL ROOTS ⋮ On highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously ⋮ Iterative schemes for finding all roots simultaneously of nonlinear equations ⋮ A new family of Sakurai-Torii-Sugiura type iterative methods with high order of convergence ⋮ Local and semilocal convergence of a family of multi-point Weierstrass-type root-finding methods ⋮ Simultaneous roots for vectorial problems ⋮ Inverse numerical iterative technique for finding all roots of nonlinear equations with engineering applications ⋮ On the convergence of high-order Gargantini-Farmer-Loizou type iterative methods for simultaneous approximation of polynomial zeros ⋮ On dynamics of iterative techniques for nonlinear equation with applications in engineering
Cites Work
- Unnamed Item
- 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
- Convergence of the two-point Weierstrass root-finding method
- On the new fourth-order methods for the simultaneous approximation of polynomial zeros
- On a family of Weierstrass-type root-finding methods with accelerated convergence
- On the convergence of Halley's method for simultaneous computation of polynomial zeros
- Relationships between different types of initial conditions for simultaneous root finding methods
- Point estimation of root finding methods
- On new higher order families of simultaneous methods for finding polynomial zeros
- A high-order iterative formula for simultaneous determination of zeros of a polynomial
- An improvement on Nourein's method for the simultaneous determination of the zeroes of a polynomial. (An algorithm)
- A general semilocal convergence theorem for simultaneous methods for polynomial zeros and its applications to Ehrlich's and Dochev-Byrnev's methods
- Unified convergence analysis for Picard iteration in \(n\)-dimensional vector spaces
- On some simultaneous methods based on Weierstrass' correction
- On the convergence of Gander's type family of iterative methods for simultaneous approximation of polynomial zeros
- A convergence analysis of a fourth-order method for computing all zeros of a polynomial simultaneously
- A unified semilocal convergence analysis of a family of iterative algorithms for computing all zeros of a polynomial simultaneously
- New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems
- Iteration Methods for Finding all Zeros of a Polynomial Simultaneously
- On the guaranteed convergence of the Japanese zero-finding method
- Semilocal convergence of two iterative methods for simultaneous computation of polynomial zeros
- A modified Newton method for polynomials
- Certain modifications of Newton's method for the approximate solution of algebraic equations
- General convergence theorems for iterative processes and applications to the Weierstrass root-finding method
This page was built for publication: Convergence analysis of Sakurai-Torii-Sugiura iterative method for simultaneous approximation of polynomial zeros