The steepest descent method
An efficient algorithm for steepest descent method for unconstrained optimization
... each steepest descent direction converge very ...Barzilai-Borwein method is not monotone, thus it is not easy to be generalized for general nonlinear ...new steepest descent ...
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Mann type hybrid steepest descent method for three nonlinear problems
... the setting of the infinite-dimensional Hilbert space. The iterative algorithm is based on Korpelevich’s extragradient method, the viscosity approximation method [], Mann’s it- eration method, and ...
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A viscosity hybrid steepest descent method for a system of equilibrium and fixed point problems for an infinite family of strictly pseudo contractive mappings
... In this paper, we introduce a new iterative scheme in a Hilbert space H which is a mixed iterative scheme of (.) and (.). We prove that the sequence converges strongly to a common element of the set of solutions of ...
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A relaxed hybrid steepest descent method for common solutions of generalized mixed equilibrium problems and fixed point problems
... hybrid steepest descent method for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solutions of a variational inequality for an inverse strongly monotone ...
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The hybrid steepest descent method for solutions of equilibrium problems and other problems in fixed point theory
... hybrid steepest descent method and prove the strong convergence to a common element of the equilibrium problem; the null space of an inverse strongly monotone operator; the set of fixed points of a ...
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Efficient implementation of a modified and relaxed hybrid steepest descent method for a type of variational inequality
... hybrid steepest-descent method for solving VI(F, K) [7,8], but choosing an efficient and implementable nonexpansive mapping is still a difficult ...hybrid steepest-descent method ...
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A Generalized Hybrid Steepest-Descent Method for Variational Inequalities in Banach Spaces
... hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and ...
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Hybrid Steepest Descent Method with Variable Parameters for General Variational Inequalities
... hybrid steepest-descent method for variational inequality problems over the intersection of the fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and ...
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Modelling of LFM Spectrum as Rectangle using Steepest Descent Method
... Since all the four chirps have same k,τ and the time-domain amplitude considered to be 1 same as in Steepest descent method. Now with this we can justify that the individual spectra will have ...
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The hybrid steepest descent method for solving variational inequality over triple hierarchical problems
... 3. Yao, JC, Chadli, O: Pseudomonotone complementarity problems and variational inequalities. In: Crouzeix, JP, Haddjissas, N, Schaible, S (eds.) Handbook of Generalized Convexity and Monotonicity, pp. 501-558 (2005) 4. ...
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Finite Step Relaxed Hybrid Steepest Descent Methods for Variational Inequalities
... hybrid steepest-descent method for this class of variational inequalities was ...this method was established under suitable assumptions imposed on the algorithm ...
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Optimal Control of Microgrid Networks Using Gradient Descent and Differential Evolution Methods
... gradient method, which is also known as the method of steepest ...the steepest-descent method. It is obvious that steepest-descent algorithms can be applied only to ...
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Strong convergence of relaxed hybrid steepest-descent methods for triple hierarchical constrained optimization
... 2. Yamada, I: The hybrid steepest-descent method for the variational inequality problem over the intersection of fixed- point sets of nonexpansive mappings. In: Butnariu, D, Censor, Y, Reich, S ...
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An Iterative Algorithm for Generalized Mixed Equilibria with Variational Inequalities
... hybrid steepest- descent method for finding a common element of the set of solutions of a finite family of generalized mixed equilibrium problems, the set of solutions of a finite family of ...
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Synchronal algorithm and cyclic algorithm for fixed point problems and variational inequality problems in hilbert spaces
... Yamada, I: The hybrid steepest-descent method for variational inequality problems over the intersection of the fixed point sets of nonexpansive mappings.. In: Butnariu, D, Censor, Y, Rei[r] ...
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Adaptive Filtering using Steepest Descent and LMS Algorithm
... of steepest descent method is elucidated along with its simulation in MATLAB by taking a noise added signal and applying the ingenuity of this algorithm to get the desired noise-free ...
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Accelerated Mann and CQ algorithms for finding a fixed point of a nonexpansive mapping
... When Fix(T ) is the set of all minimizers of a convex, continuously Fréchet differentiable functional f over H, that algorithm () is the steepest descent method [] to minimize f over H. Suppose ...
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A New Conjugancy Coefficient of Conjugate Gradient Method
... the steepest descent method with Armijo-type search is proved under very general conditions in (Andrei, ...gradient method with strong Wolfe line search, the following general result ...
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A new explicit iteration method for variational inequalities on the set of common fixed points for a finite family of nonexpansive mappings
... iteration method based on the steepest descent method and Krasnoselskii-Mann type method for finding a solution of a variational inequality involving a Lipschitz continuous and strongly ...
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A new iteration method for variational inequalities on the set of common fixed points for a finite family of quasi pseudocontractions in Hilbert spaces
... iteration method based on the hybrid steepest descent method and Ishikawa-type method for seeking a solution of a variational inequality involving a Lipschitz continuous and strongly ...
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