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Ioannis K. Argyros, Debasis Sharma, Christopher I. Argyros, Sanjaya Kumar Parhi, Shanta Kumari Sunanda and Michael I. Argyros
A variety of strategies are used to construct algorithms for solving equations. However, higher order derivatives are usually assumed to calculate the convergence order. More importantly, bounds on error and uniqueness regions for the solution are also n...
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Michael I. Argyros, Gus I. Argyros, Ioannis K. Argyros, Samundra Regmi and Santhosh George
A new technique is developed to extend the convergence ball of Newton?s algorithm with projections for solving generalized equations with constraints on the multidimensional Euclidean space. This goal is achieved by locating a more precise region than in...
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Gerasim V. Krivovichev and Valentina Yu. Sergeeva
The paper is devoted to the theoretical and numerical analysis of the two-step method, constructed as a modification of Polyak?s heavy ball method with the inclusion of an additional momentum parameter. For the quadratic case, the convergence conditions ...
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Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi and Halyna Yarmola
A plethora of methods are used for solving equations in the finite-dimensional Euclidean space. Higher-order derivatives, on the other hand, are utilized in the calculation of the local convergence order. However, these derivatives are not on the methods...
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Siva Kumar Mahalingam, Lenin Nagarajan, Chandran Velu, Vignesh Kumar Dharmaraj, Sachin Salunkhe and Hussein Mohamed Abdelmoneam Hussein
This work addresses an evolutionary algorithmic approach to reduce the surplus pieces in selective assembly to increase success rates. A novel equal area amidst unequal bin numbers (EAUB) method is proposed for classifying the parts of the ball bearing a...
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Ke Chen, Bo Xiao, Chunyang Wang, Xuelian Liu, Shuning Liang and Xu Zhang
In today?s automation control systems, the PID controller, as a core technology, is widely used to maintain the system output near the set value. However, in some complex control environments, such as the application of ball screw-driven rotating motors,...
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