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International Journal of Computer Mathematics Volume 6, 1977 - Issue 3
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Original Articles

An improvement on two iteration methods for simultaneous determination of the zeros of a polynomial

Abdel Wahab M. Anourein The Computer Centre, University of Khartoum, Sudan
Pages 241-252 | Published online: 19 Mar 2007

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Chuei Yee Chen, Abdul Hakim Ghazali & Wah June Leong. (2022) Scaled parallel iterative method for finding real roots of nonlinear equations. Optimization 71:9, pages 2595-2611.
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Miodrag S. Petković, Dušan M. Milošević & Ivan Petković. (2010) On the improved Newton-like methods for the inclusion of polynomial zeros. International Journal of Computer Mathematics 87:8, pages 1726-1735.
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S. M. Ilić & L. Rančić. (2004) On a modification of the Ehrlich–Aberth method for simultaneous approximation of polynomial zeros . International Journal of Computer Mathematics 81:4, pages 455-471.
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M.S. Petkovic. (1982) A family of simultaneous methods for the determination of polynomial complex zeros. International Journal of Computer Mathematics 11:3-4, pages 285-296.
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Stoil I. Ivanov. (2024) Families of high-order simultaneous methods with several corrections. Numerical Algorithms.
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Petko D. Proinov & Stoil I. Ivanov. (2024) A new family of Sakurai–Torii–Sugiura type iterative methods with high order of convergence. Journal of Computational and Applied Mathematics 436, pages 115428.
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Petko D. Proinov & Maria T. Vasileva. On the convergence of nourein iterative method for simultaneous approximation of polynomial zeros. On the convergence of nourein iterative method for simultaneous approximation of polynomial zeros.
Mudassir Shams, Naila Rafiq, Nasreen Kausar, Shams Forruque Ahmed, Nazir Ahmad Mir & Suvash Chandra Saha. (2021) Inverse Family of Numerical Methods for Approximating All Simple and Roots with Multiplicity of Nonlinear Polynomial Equations with Engineering Applications. Mathematical Problems in Engineering 2021, pages 1-9.
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Naila Rafiq, Mudassir Shams, Nazir Ahmad Mir & Yaé Ulrich Gaba. (2021) A Highly Efficient Computer Method for Solving Polynomial Equations Appearing in Engineering Problems. Mathematical Problems in Engineering 2021, pages 1-22.
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Mudassir Shams, Naila Rafiq, Nasreen Kausar, Praveen Agarwal, Choonkil Park & Shaher Momani. (2021) Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation. Advances in Difference Equations 2021:1.
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Mudassir Shams, Naila Rafiq, Nasreen Kausar, Praveen Agarwal, Choonkil Park & Nazir Ahmad Mir. (2021) On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equation. Advances in Difference Equations 2021:1.
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Mudassir Shams, Naila Rafiq, Nasreen Kausar, Praveen Agarwal, Choonkil Park & Nazir Ahmad Mir. (2021) On highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously. Advances in Difference Equations 2021:1.
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Petko D. Proinov & Maria T. Vasileva. (2021) A New Family of High-Order Ehrlich-Type Iterative Methods. Mathematics 9:16, pages 1855.
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Mudassir Shams, Naila Rafiq, Babar Ahmad & Nazir Ahmad Mir. (2021) Inverse Numerical Iterative Technique for Finding all Roots of Nonlinear Equations with Engineering Applications. Journal of Mathematics 2021, pages 1-10.
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Petko D. Proinov & Maria T. Vasileva. (2020) Local and Semilocal Convergence of Nourein’s Iterative Method for Finding All Zeros of a Polynomial Simultaneously. Symmetry 12:11, pages 1801.
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Ivan Petkovic & Petar Rajkovic. (2020) Computer Visualization of Geometry of Polynomial Roots. Computer Visualization of Geometry of Polynomial Roots.
Naila Rafiq, Saima Akram, Nazir Ahmad Mir & Mudassir Shams. (2020) Study of Dynamical Behavior and Stability of Iterative Methods for Nonlinear Equation with Applications in Engineering. Mathematical Problems in Engineering 2020, pages 1-20.
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Mudassir Shams, Nazir Ahmad Mir, Naila Rafiq, A. Othman Almatroud & Saima Akram. (2020) On Dynamics of Iterative Techniques for Nonlinear Equation with Applications in Engineering. Mathematical Problems in Engineering 2020, pages 1-17.
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Nazir Ahmad Mir, Mudassir Shams, Naila Rafiq, S. Akram & M. Rizwan. (2020) Derivative free iterative simultaneous method for finding distinct roots of polynomial equation. Alexandria Engineering Journal 59:3, pages 1629-1636.
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I. Petković & Đ. Herceg. (2020) Computer methodologies for comparison of computational efficiency of simultaneous methods for finding polynomial zeros. Journal of Computational and Applied Mathematics 368, pages 112513.
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M.S. Petković & L.D. Petković. (2018) A note on determinantal representation of a Schröder–König-like simultaneous method for finding polynomial zeros. Journal of Computational and Applied Mathematics 343, pages 481-487.
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Qinglong Huang. (2017) The Convergence of a Class of Parallel Newton-Type Iterative Methods. Advances in Numerical Analysis 2017, pages 1-7.
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Noraini Jamaludin, Mansor Monsi, Nasruddin Hassan & Nooraini Zainuddin. The performance of the IMSS2-5D procedure for simultaneous bounding of polynomial zeros. The performance of the IMSS2-5D procedure for simultaneous bounding of polynomial zeros.
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Dušan M. Milošević, Mimica R. Milošević & Jovana Džunić. (2015) On an efficient inclusion method for finding polynomial zeros. Journal of Computational and Applied Mathematics 290, pages 298-309.
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Noraini Jamaludin, Mansor Monsi, Nasruddin Hassan, Nooraini Zainuddin & Nur Izzati Rashid. The efficiency of convergence rate for IMSS2-5D procedure. The efficiency of convergence rate for IMSS2-5D procedure.
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M.S. Petković & L.D. Petković. (2007) Construction of zero-finding methods by Weierstrass functions. Applied Mathematics and Computation 184:2, pages 351-359.
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