Results 61 to 70 of about 1,056,028 (181)
Optimal Fourth-Order Methods for Multiple Zeros: Design, Convergence Analysis and Applications
AxiomsNonlinear equations are frequently encountered in many areas of applied science and engineering, and they require efficient numerical methods to solve. To ensure quick and precise root approximation, this study presents derivative-free iterative methods ...
Sunil Kumar +2 more
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Algorithms for Molecular Biology, 2018 Background A profile-comparison method with position-specific scoring matrix (PSSM) is among the most accurate alignment methods. Currently, cosine similarity and correlation coefficients are used as scoring functions of dynamic programming to calculate ...
Kazunori D. Yamada
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On the Convergence of a Kurchatov-Type Method for Solving Nonlinear Equations and Its Applications
AppliedMathA local and a semi-local convergence analysis are presented for the Kurchatov-type method to solve numerically nonlinear equations in a Banach space. The method depends on a real parameter. By specializing the parameter, we obtain methods already studied
Ioannis K. Argyros +2 more
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Training a Feed-forward Neural Network with Artificial Bee Colony Based Backpropagation Method
, 2012 Back-propagation algorithm is one of the most widely used and popular techniques to optimize the feed forward neural network training. Nature inspired meta-heuristic algorithms also provide derivative-free solution to optimize complex problem. Artificial
Das, Achintya +2 more
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Calibrating the GAMIL3-1° climate model using a derivative-free optimization method [PDF]
Geoscientific Model DevelopmentParameterization in climate models often involves parameters that are poorly constrained by observations or theoretical understanding alone. Manual tuning by experts can be time-consuming, subjective, and prone to underestimating uncertainties. Automated
W. Liang +10 more
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StepDIRECT - A Derivative-Free Optimization Method for Stepwise Functions
, 2022 In this paper, we propose the StepDIRECT algorithm for derivative-free optimization (DFO), in which the black-box objective function has a stepwise landscape. Our framework is based on the well-known DIRECT algorithm. By incorporating the local variability to explore the flatness, we provide a new criterion to select the potentially optimal hyper ...
Phan, Dzung T. +2 more
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Two Optimal Eighth‐Order Derivative‐Free Classes of Iterative Methods [PDF]
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. Due to this, the main aim of this paper is to attain as high as possible of local convergence order by using fixed number of (functional) evaluations to find efficient solvers for one ...
Soleymani, F., Shateyi, S.
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On Derivative-Free Optimisation Methods
, 2023 As part of the field of mathematical optimisation, derivative-free optimisation is the study of optimisation methods that are not granted full access to the derivative of the objective function. In this master's thesis, three derivative-free optimisation methods known from the literature that do not use the derivatives have been studied, namely the ...
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Inertial-Based Derivative-Free Method for System of Monotone Nonlinear Equations and Application
IEEE Access, 2020 Iterative methods for solving nonlinear problems are of great importance due to their appearance in various areas of applications. In this paper, based on the inertial effect, we propose two projection derivative-free iterative methods for solving system
Aliyu Muhammed Awwal +4 more
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Convergence Analysis and Complex Geometry of an Efficient Derivative-Free Iterative Method
Mathematics, 2019 To locate a locally-unique solution of a nonlinear equation, the local convergence analysis of a derivative-free fifth order method is studied in Banach space.
Deepak Kumar +2 more
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