Results 11 to 20 of about 2,135,494 (334)
Mathematics, 2019 In this article, we propose a modified self-adaptive conjugate gradient algorithm for handling nonlinear monotone equations with the constraints being convex. Under some nice conditions, the global convergence of the method was established.
Auwal Bala Abubakar +3 more
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Franklin OpenA lot of researchers have introduced iterative schemes for solving convex constrained nonlinear monotone equations. This paper aims to propose a modified three-term of Dai–Yuan type (TTDY) derivative-free algorithm for nonlinear monotone equations.
Aliyu Yusuf +3 more
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Dynamical systems method for solving nonlinear equations with monotone operators [PDF]
Mathematics of Computation, 2010 A review of the authors' results is given. Several methods are discussed for solving nonlinear equations F(u) = f, where F is a monotone operator in a Hilbert space, and noisy data are given in place of the exact data. A discrepancy principle for solving the equation is formulated and justified.
Hoang, N. S., Ramm, Alexander G.
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Mathematics, 2019 One of the fastest growing and efficient methods for solving the unconstrained minimization problem is the conjugate gradient method (CG). Recently, considerable efforts have been made to extend the CG method for solving monotone nonlinear equations.
Auwal Bala Abubakar +4 more
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Journal of Inequalities and Applications, 2009 We introduce and study a new class of nonlinear general -monotone operator equations with multivalued operator. By using Alber's inequalities, Nalder's results, and the new proximal mapping technique, we construct some new perturbed iterative ...
Lan Heng-you, Zhang Xian-jun, Wei Xing
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A Scaled Conjugate Gradient Method for Solving Monotone Nonlinear Equations with Convex Constraints [PDF]
Journal of Applied Mathematics, 2013 Based on the Scaled conjugate gradient (SCALCG) method presented by Andrei (2007) and the projection method presented by Solodov and Svaiter, we propose a SCALCG method for solving monotone nonlinear equations with convex constraints.
Sheng Wang, Hongbo Guan
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MathematicsIterative methods for solving constraint nonlinear monotone equations have been developed and improved by many researchers. The aim of this research is to present a modified three-term conjugate descent (TTCD) derivative-free method for constrained ...
Aliyu Yusuf +2 more
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A New Hybrid Approach for Solving Large-scale Monotone Nonlinear Equations [PDF]
Journal of Mathematical and Fundamental Sciences, 2020 In this paper, a new hybrid conjugate gradient method for solving monotone nonlinear equations is introduced. The scheme is a combination of the Fletcher-Reeves (FR) and Polak-Ribiére-Polyak (PRP) conjugate gradient methods with the Solodov and Svaiter ...
Jamilu Sabi’u +3 more
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Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone Equations [PDF]
Abstract and Applied Analysis, 2014 Two unified frameworks of some sufficient descent conjugate gradient methods are considered. Combined with the hyperplane projection method of Solodov and Svaiter, they are extended to solve convex constrained nonlinear monotone equations.
San-Yang Liu +2 more
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Hamilton–Jacobi equations with monotone nonlinearities on convex cones [PDF]
Annales de la Faculté des sciences de Toulouse : MathématiquesWe study the Cauchy problem of a Hamilton–Jacobi equation with the spatial variable in a closed convex cone. A monotonicity assumption on the nonlinearity allows us to prescribe no condition on the boundary of the cone. We show the well-posedness of the equation in the viscosity sense and prove several properties of the solution: monotonicity ...
Chen, Hong-Bin, Xia, Jiaming
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