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Optimal efficiency indexes for iterative methods of interpolatory type [PDF]
Computer Science Journal of Moldova, 1997 The paper is concerned with the order of convergence and the efficiency index of iterative methods of interpolatory type for solving scalar equations. Some classes of such methods are presented and then, using well defined criteria, the methods having ...
I. Pavaloiu
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An Optimal Derivative Free Family of Chebyshev–Halley’s Method for Multiple Zeros
Mathematics, 2021 In this manuscript, we introduce the higher-order optimal derivative-free family of Chebyshev–Halley’s iterative technique to solve the nonlinear equation having the multiple roots. The designed scheme makes use of the weight function and one parameter α
Ramandeep Behl +3 more
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An Optimal Iteration Method for Strongly Nonlinear Oscillators [PDF]
Journal of Applied Mathematics, 2012 We introduce a new method, namely, the Optimal Iteration Perturbation Method (OIPM), to solve nonlinear differential equations of oscillators with cubic and harmonic restoring force. We illustrate that OIPM is very effective and convenient and does not require linearization or small perturbation.
Vasile Marinca, Nicolae Herisanu
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Derivative-Free King’s Scheme for Multiple Zeros of Nonlinear Functions
Mathematics, 2021 There is no doubt that the fourth-order King’s family is one of the important ones among its counterparts. However, it has two major problems: the first one is the calculation of the first-order derivative; secondly, it has a linear order of convergence ...
Ramandeep Behl +3 more
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Derivative-Free Optimal Iterative Methods
Computational Methods in Applied Mathematics, 2010 AbstractIn this study, we develop an optimal family of derivative-free iterative methods. Convergence analysis shows that the methods are fourth order convergent, which is also verified numerically. The methods require three functional evaluations during each iteration. Though the methods are independent of derivatives, computa-
Sanjay Kumar Khattri, Ravi P. Agarwal
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Two Optimal Eighth-Order Derivative-Free Classes of Iterative Methods
Abstract and Applied Analysis, 2012 Optimization problems defined by (objective) functions for which derivatives are unavailable or available at an expensive cost are emerging in computational science.
F. Soleymani, S. Shateyi
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On efficient iterative schemes for finding all solutions of non-linear engineering problems [PDF]
Computational Algorithms and Numerical DimensionsNonlinear equations are important in engineering because they may simulate complicated real-world phenomena such as fluid dynamics, material stress, and electrical circuits, where linear assumptions fail.
Mudassir Shams, Nasreen Kausar
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A Data-Driven Parameter Prediction Method for HSS-Type Methods
Mathematics, 2022 Some matrix-splitting iterative methods for solving systems of linear equations contain parameters that need to be specified in advance, and the choice of these parameters directly affects the efficiency of the corresponding iterative methods. This paper
Kai Jiang, Jianghao Su, Juan Zhang
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Efficient iterative scheme for solving non-linear equations with engineering applications
Applied Mathematics in Science and Engineering, 2022 A family of three-step optimal eighth-order iterative algorithm is developed in this paper in order to find single roots of nonlinear equations using the weight function technique.
Mudassir Shams +3 more
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State Space Model Predictive Control of a Multi Stage Electro-metallurgical Process [PDF]
Modeling, Identification and Control, 1989 The paper deals with the proposed application of a novel technique for Model Predictive Control to a multistage electrometallurgical process. The novel control technique is based upon high speed repetitive simulation of a non-linear state space model of ...
Jens G. Balchen +2 more
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