Projection Methods in Krylov Subspaces
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-04395-7
Abstract: The paper considers preconditioned iterative methods in Krylov subspaces for solving large systems of linear algebraic equations with sparse coefficient matrices arising in solving multidimensional boundary-value problems by finite volume or finite element methods of… read more here.
Keywords: methods krylov; block; projection methods; krylov subspaces ... See more keywords
Selective projection methods for solving a class of variational inequalities
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DOI: 10.1007/s11075-018-0499-x
Abstract: Very recently, Gibali et al. (Optimization 66, 417–437 2017) proposed a method, called selective projection method (SPM) in this paper, for solving the variational inequality problem (VIP) defined on C:=⋂i=1mCi≠∅$C:=\bigcap _{i = 1}^{m} C^{i}\neq \emptyset… read more here.
Keywords: projection methods; projection; solving class; space ... See more keywords
New projection methods for equilibrium problems over fixed point sets
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DOI: 10.1007/s11590-020-01625-9
Abstract: In this paper, we introduce some new approximation projection algorithms for solving monotone equilibrium problems over the intersection of fixed point sets of demicontractive mappings. By combining subgradient projection methods and hybrid steepest descent methods,… read more here.
Keywords: projection methods; projection; equilibrium problems; point sets ... See more keywords
Globally convergent three-term conjugate gradient projection methods for solving nonlinear monotone equations
Sign Up to like & getrecommendations! Published in 2018 at "Arabian Journal of Mathematics"
DOI: 10.1007/s40065-018-0206-8
Abstract: In this paper, we propose two derivative-free conjugate gradient projection methods for systems of large-scale nonlinear monotone equations. The proposed methods are shown to satisfy the sufficient descent condition. Furthermore, the global convergence of the… read more here.
Keywords: monotone equations; proposed methods; gradient projection; nonlinear monotone ... See more keywords
Superconvergence results of Legendre spectral projection methods for Volterra integral equations of second kind
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DOI: 10.1007/s40314-017-0563-5
Abstract: In this paper, Legendre spectral projection methods are applied for the Volterra integral equations of second kind with a smooth kernel. We prove that the approximate solutions of the Legendre Galerkin and Legendre collocation methods… read more here.
Keywords: order; spectral projection; order mathcal; legendre spectral ... See more keywords
A Class of Derivative-Free CG Projection Methods for Nonsmooth Equations with an Application to the LASSO Problem
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00250-2
Abstract: In this paper, based on a modified Gram–Schmidt (MGS) process, we propose a class of derivative-free conjugate gradient (CG) projection methods for nonsmooth equations with convex constraints. Two attractive features of the new class of… read more here.
Keywords: derivative free; class; methods nonsmooth; class derivative ... See more keywords
Projection methods for stochastic dynamic systems: A frequency domain approach
Sign Up to like & getrecommendations! Published in 2018 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.04.025
Abstract: Abstract A collection of hybrid projection approaches are proposed for approximating the response of stochastic partial differential equations which describe structural dynamic systems. In this study, an optimal basis for the approximation of the response… read more here.
Keywords: projection methods; hybrid projection; methods stochastic; approach ... See more keywords
Accelerated hybrid and shrinking projection methods for variational inequality problems
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DOI: 10.1080/02331934.2019.1566825
Abstract: ABSTRACT In this paper, we introduce several new extragradient-like approximation methods for solving variational inequalities in Hilbert spaces. Our algorithms are based on Tseng's extragradient method, subgradient extragradient method, inertial method, hybrid projection method and… read more here.
Keywords: projection methods; shrinking projection; method; accelerated hybrid ... See more keywords
Approximate Projection Methods for Decentralized Optimization With Functional Constraints
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DOI: 10.1109/tac.2017.2778696
Abstract: We consider distributed convex optimization problems that involve a separable objective function and nontrivial functional constraints, such as linear matrix inequalities. We propose a decentralized and computationally inexpensive algorithm, which is based on the concept… read more here.
Keywords: projection methods; decentralized optimization; approximate projection; projection ... See more keywords
Strong convergence theorems by hybrid and shrinking projection methods for sums of two monotone operators
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1338-7
Abstract: In this paper, we introduce two iterative algorithms for finding the solution of the sum of two monotone operators by using hybrid projection methods and shrinking projection methods. Under some suitable conditions, we prove strong… read more here.
Keywords: two monotone; shrinking projection; monotone operators; monotone ... See more keywords
Comparison of two projection methods for the solution of frictional contact problems
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DOI: 10.1186/s13661-019-1187-z
Abstract: Frictional contact problems in linear elasticity are considered in this paper. The contact constraint is imposed in the weak sense using the fixed point method, which leads to a variational equation problem. For solving such… read more here.
Keywords: contact problems; contact; projection methods; two projection ... See more keywords