Results 21 to 30 of about 13,268,873 (295)
The NMHSS Iterative Method for the Standard Lyapunov Equation
IEEE Access, 2019 Based on the previous research results, a new modified-Hermitian and skew-Hemitian splitting iteration method (NMHSS) is presented for solving the standard Lyapunov equation in this paper.
Hai-Long Shen, Shi-Yu Li, Xin-Hui Shao
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Mathematics, 2020 The benefits and properties of iterative splitting methods, which are based on serial versions, have been studied in recent years, this work, we extend the iterative splitting methods to novel classes of parallel versions to solve nonlinear fractional ...
Jürgen Geiser +2 more
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Mathematics, 2021 In this paper, a new approximate analytical method is proposed for solving the fractional biological population model, the fractional derivative is described in the Caputo sense. This method is based upon the Aboodh transform method and the new iterative
Gbenga O. Ojo, Nazim I. Mahmudov
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A fourth-order iterative method for computing the moore-penrose inverse [PDF]
Journal of Hyperstructures, 2017 In this study, a new fourth-order method to compute the Moore-Penrose inverse is proposed. Convergence analysis along with the error estimates of the method is investigated. Every iteration of the method involves four matrix multiplications.
H. Esmaeili, R. Erfanifar, M. Rashidi
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PHSS Iterative Method for Solving Generalized Lyapunov Equations
Mathematics, 2019 Based on previous research results, we propose a new preprocessing HSS iteration method (PHSS) for the generalized Lyapunov equation. At the same time, the corresponding inexact PHSS algorithm (IPHSS) is given from the angle of application.
Shi-Yu Li, Hai-Long Shen, Xin-Hui Shao
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An Improved Algorithm For The Solution of Kepler‘s Equation For An Elliptical Orbit [PDF]
Engineering and Technology Journal, 2010 In this paper, a root finding method due to iterative method is used first to thesolution of Kepler's equation for an elliptical orbit. Then the extrapolationtechnique in the form of Aitken D2 - acceleration is applied to improve theconvergence of the ...
Mohammed S. Rasheed
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An Optimal Thirty-Second-Order Iterative Method for Solving Nonlinear Equations and a Conjecture [PDF]
, 2022 Many multipoint iterative methods without memory for solving non-linear equations in one variable are found in the literature. In particular, there are methods that provide fourth-order, eighth-order or sixteenth-order convergence using only ...
Varona Malumbres, Juan Luis [0000-0002-2023-9946] +2 more
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A Note on an Iterative Method for Root Extraction [PDF]
, 1958 A double iterative method for evaluating y/x1/n is derived and it is shown that if −1 ⩽ yn < x < 1 then it can be arranged that all terms occurring in the iteration are also within this range.
Gower, J. C., Gower, John
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The Four-Parameter PSS Method for Solving the Sylvester Equation
Mathematics, 2019 In order to solve the Sylvester equations more efficiently, a new four parameters positive and skew-Hermitian splitting (FPPSS) iterative method is proposed in this paper based on the previous research of the positive and skew-Hermitian splitting (PSS ...
Hai-Long Shen, Yan-Ran Li, Xin-Hui Shao
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Convergence of Iterative Methods [PDF]
Progress of Theoretical Physics, 1953 For various iterative methods in eigenvalue problem which are used to solve the bound states and scattering problems, we introduce the coefficient of convergency which ·indicates not only the convergency condition when the iteration is performed endlessly, but also the efficiency of successive approximation for· any finite step.
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