Munish Kansal
Thapar University
49 Papers
48 Citations
Munish Kansal is an academic researcher from Thapar University. The author has contributed to research in topics: Nonlinear system & Iterative method. The author has an hindex of 6, co-authored 30 publications. Previous affiliations of Munish Kansal include University Institute of Engineering and Technology, Panjab University & Panjab University, Chandigarh.
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Papers
New fourth- and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis
TL;DR: It has been concluded that the methods are comparable with the existing ones of similar nature in terms of order, efficiency, and computational time and also that the stability results provide the most efficient member of each class of iterative schemes.
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New optimal class of higher-order methods for multiple roots, permitting f'(xn)=0
TL;DR: The aim of this paper is to present an improved optimal class of higher-order methods having quartic convergence, permitting f'(x)=0 in the vicinity of the required root, based on weight function approach.
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Efficient derivative-free variants of Hansen-Patrick's family with memory for solving nonlinear equations
TL;DR: A new tri-parametric derivative-free family of Hansen-Patrick type methods for solving nonlinear equations numerically that can also determine the complex zeros without having to start from a complex initial guess as would be necessary with other methods is presented.
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One Parameter Optimal Derivative-Free Family to Find the Multiple Roots of Algebraic Nonlinear Equations
Munish Kansal,Ali Saleh Alshomrani,Sonia Bhalla,Ramandeep Behl,Mehdi Salimi +4 more
- 14 Dec 2020
TL;DR: In this paper, the authors constructed the one parameter optimal derivative-free iterative family to find the multiple roots of an algebraic nonlinear function, which is optimal as it satisfies the convergence order of Kung and Traub's conjecture.
10
A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence
TL;DR: This paper presents a uniparametric family of modified Chebyshev-Halley type methods with optimal eighth-order of convergence, and finds that these proposed methods are very useful in high precision computations.
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