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Outer approximated projection and contraction method for solving variational inequalities
In this paper we focus on solving the classical variational inequality (VI) problem. Most common methods for solving VIs use some kind of projection...
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Gradient projection method on the sphere, complementarity problems and copositivity
By using a constant step-size, the convergence analysis of the gradient projection method on the sphere is presented for a closed spherically convex...
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Projection Method for Infinite-Horizon Economic Growth Problems
A projection method is proposed for infinite-horizon economic growth problems. Exponentially discounted orthogonal Laguerre polynomials are used as...
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A Third-Order Projection-Characteristic Method for Solving the Transport Equation on Unstructed Grids
AbstractThis paper presents a numerical study of the convergence order of the projection-characteristic of the cubic polynomial projection (СРР)...
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Shrinking projection method for hierarchical fixed point problems on Hadamard manifolds
This study presents a shrinking projection method for approximating solutions of hierarchical fixed point problems on Hadamard manifolds. Given...
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A novel projection method for split feasibility problems with applications to compressive sensing
In this paper, by combining the hyperplane projection technique and gradient projection method with Polyak’s stepsizes, we propose a novel projection...
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Alternating Projection Method for Intersection of Convex Sets, Multi-Agent Consensus Algorithms, and Averaging Inequalities
AbstractThe history of the alternating projection method for finding a common point of several convex sets in Euclidean space goes back to the...
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Modified Inertial Projection Method for Solving Pseudomonotone Variational Inequalities with Non-Lipschitz in Hilbert Spaces
This paper deals with a class of inertial gradient projection methods for solving a variational inequality problem involving pseudomonotone and...
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A modified multivariate spectral gradient projection method for nonlinear complementarity problems
We present a sufficient condition for monotonicity of the nonlinear nonsmooth system generated by Fischer–Burmeister function associated with...
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A Non-monotone Adaptive Scaled Gradient Projection Method for Orthogonality Constrained Problems
Optimization problems with orthogonality constraints are classical nonconvex nonlinear problems and have been widely applied in science and...
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On the Properties of Orthogonal Projection Method for Reaching Consensus
AbstractThe article is devoted to an asymptotic behavior of a multi-agent system with information links. We proved that the orthogonal projection...
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An Inertial Spectral CG Projection Method Based on the Memoryless BFGS Update
Combining the derivative-free projection with inertial technique, we propose a hybrid inertial spectral conjugate gradient projection method for...
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An extragradient projection method for strongly quasiconvex equilibrium problems with applications
We discuss an extragradient projection method for dealing with equilibrium problems involving bifunctions which are strongly quasiconvex on its...
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Inexact gradient projection method with relative error tolerance
A gradient projection method with feasible inexact projections is proposed in the present paper. The inexact projection is performed using a general...
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Projection Method for a Class of Integral Operators with Bihomogeneous Kernels
AbstractWe consider the multidimensional integral operators with bihomogeneous kernels in the L 2 -space. For such operators, the necessary and...
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A Projection Method Based on Discrete Normalized Dynamical System for Computing C-eigenpairs
The largest C-eigenvalue of piezoelectric tensors determines the highest piezoelectric coupling constant, which reflects the coupling between the...
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Three-Term Hager–Zhang Projection Method for Monotone Nonlinear Equations
In this paper, a conjugate gradient method combined with the projection technique of Solodov and Svaiter (Kluwer Academic Publishers, pp. 355–369,
1998 ... -
An improved spectral conjugate gradient projection method for monotone nonlinear equations with application
In this paper, we propose an enhanced spectral conjugate gradient (CG) projection method for solving monotone nonlinear equations with application in...
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Single particle cryo-EM image registration based on Fourier–Bessel transform and fast Laguerre projection method
When constructing the three-dimensional model of a particle by means of single particle cryo-electron microscopy, an important step is particle...
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A conjugate gradient projection method with restart procedure for solving constraint equations and image restorations
The conjugate gradient projection method is one of the most effective methods for solving large-scale nonlinear monotone convex constrained...