Search Results - Derivative-free methods and methods using generalized derivatives

Periodic solutions of nonlinear ordinary differential equations computed by a boundary shape function method and a generalized derivative-free Newton method by Liu, Chein-Shan, Chang, Chih-Wen

“… A boundary shape function method (BSFM), using the derived shape functions, is devised to an initial value problem with the initial values of new variables given, whereas the terminal values and period are determined by iterative algorithms…”
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New derivative-free iterative family having optimal convergence order sixteen and its applications by Kaur, Manpreet, Kumar, Sanjeev, Kansal, Munish

“… problems.Design/methodology/approachThe scheme is generalized by using the power-mean notion. By applying Neville's interpolating technique, the methods are formulated into the derivative-free approaches…”
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About the Performance of a Calculus-Based Approach to Building Model Functions in a Derivative-Free Trust-Region Algorithm by Hare, Warren, Jarry-Bolduc, Gabriel

“… Two versions of a derivative-free trust-region method are implemented. The first version builds model functions by using a calculus-based approach, and the second version builds model functions by directly considering the objective function…”
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A Two-Dimensional Variant of Newton’s Method and a Three-Point Hermite Interpolation: Fourth- and Eighth-Order Optimal Iterative Schemes by Liu, Chein-Shan, El-Zahar, Essam R., Chang, Chih-Wen

“… b. We recast the Newton iterative method to two types of derivative-free iterative schemes by using the finite difference technique…”
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A derivative-free projection method with double inertial effects for solving nonlinear equations by Ibrahim, Abdulkarim Hassan, Al-Homidan, Suliman

“… This paper introduces a derivative-free projection method (DFPM) with a double-inertial extrapolation step for solving large-scale systems of nonlinear equations…”
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A derivative-free descent method in set optimization by Jahn, Johannes

“… A new derivative-free descent method for the solution of set optimization problems is given together with numerical results in low dimensions…”
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Distributed quasi-Newton derivative-free optimization method for optimization problems with multiple local optima by Gao, Guohua, Wang, Yixuan, Vink, Jeroen C., Wells, Terence J., Saaf, Fredrik J.F.E.

“…The distributed Gauss-Newton (DGN) optimization method performs quite efficiently and robustly for history-matching problems with multiple best matches…”
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A Progressive Barrier for Derivative-Free Nonlinear Programming by Audet, Charles, Dennis, J. E.

“…The researchers propose a new constraint-handling approach for general constraints that is applicable to a widely used class of constrained derivative-free optimization methods…”
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Derivative Free Conjugate Gradient Method via Broyden's Update for solving symmetric systems of nonlinear equations by Dauda, M.K., Mamat, Mustafa, Mohamad, Fatma Susilawati, Magaji, Abubakar S., Waziri, M.Y.

“… To overcome such problems, a Derivative free Method for Solving Symmetric Systems of Nonlinear Equations Using Broyden's Update is presented…”
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Derivative-Free Observability Analysis of a Stochastic Dynamical System by Zheng, Zongsheng, Xu, Yijun, Mili, Lamine, Liu, Zhigang, Peng, Long, Wang, Yuhong

“… Unlike the traditional observability analysis approach, our approach is fully derivative-free, resulting in a low complexity and an easy implementation…”
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New horizons in sphere-packing theory, part II: lattice-based derivative-free optimization via global surrogates by Belitz, Paul, Bewley, Thomas

“…Derivative-free algorithms are frequently required for the optimization of nonsmooth scalar functions in n dimensions resulting, for example, from physical experiments or from the…”
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A generalized evolutionary metaheuristic (GEM) algorithm for engineering optimization by Yang, Xin-She

“…Many optimization problems in engineering and industrial design applications can be formulated as optimization problems with highly nonlinear objectives,…”
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Data assimilation with soft constraints (DASC) through a generalized iterative ensemble smoother by Luo, Xiaodong, Cruz, William C.

“… The proposed workflow is built upon a recently proposed umbrella algorithm, called the generalized iterative ensemble smoother (GIES…”
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Production optimization using derivative free methods applied to Brugge field case by Asadollahi, Masoud, Nævdal, Geir, Dadashpour, Mohsen, Kleppe, Jon

“… Here, we evaluate derivative free optimization methods for determination of the optimal production strategy using a numerical reservoir model which was prepared for a comparative study at the SPE…”
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Derivative free method for computing modes of multilayer planar waveguide by Semwal, Girish, Rastogi, Vipul

“… The solution is based on the derivative free method for computing the zeros of an analytical function in complex plane…”
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Efficient sampling techniques for surrogate-based optimization with thermoelastic application by AbdEl-latief, A., Haridy, A., Abouelseoud, Y., EL-Alem, M.

“…In many real-life models, the objective function may be very expensive to calculate or sometimes a black-box function. Therefore, a surrogate model is required…”
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Simulation optimization: a review of algorithms and applications by Amaran, Satyajith, Sahinidis, Nikolaos V., Sharda, Bikram, Bury, Scott J.

“…Simulation optimization refers to the optimization of an objective function subject to constraints, both of which can be evaluated through a stochastic…”
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A derivative-free filter method for solving nonlinear complementarity problems by Nie, Pu-yan, Fan, Jin-yan

“… Derivative-free methods are hence considered. Generalized pattern search (GPS) method, as a kind of derivative-free method, plays a very significant role…”
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A derivative-free algorithm for nonlinear equations and its applications in multibody dynamics by Tang, Di, Bao, Shiyi, Lv, Binbin, Guo, Hongtao, Luo, Lijia, Mao, Jianfeng

“… System's governing equations are then derived using generalized coordinates by Lagrange methods…”
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A DIRECT SEARCH QUASI-NEWTON METHOD FOR NONSMOOTH UNCONSTRAINED OPTIMIZATION by PRICE, C. J.

“… The method estimates the gradient via central differences using a maximal frame around each iterate…”
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