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  1. 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...

    V. A. Uzor, O. T. Mewomo, ... A. Gibali in Journal of Inequalities and Applications
    Article Open access 02 November 2023
  2. 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...

    Orizon Pereira Ferreira, Yingchao Gao, ... Petra Renáta Rigó in Journal of Global Optimization
    Article Open access 16 April 2024
  3. 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...

    B. M. Arystanbekov, N. B. Melnikov in Proceedings of the Steklov Institute of Mathematics
    Article 01 December 2022
  4. A Third-Order Projection-Characteristic Method for Solving the Transport Equation on Unstructed Grids

    Abstract

    This paper presents a numerical study of the convergence order of the projection-characteristic of the cubic polynomial projection (СРР)...

    E. N. Aristova, G. O. Astafurov in Mathematical Models and Computer Simulations
    Article 24 April 2024
  5. 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...

    Article 19 February 2024
  6. 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...

    Pham Ky Anh, Nguyen The Vinh in Computational and Applied Mathematics
    Article 29 May 2023
  7. Alternating Projection Method for Intersection of Convex Sets, Multi-Agent Consensus Algorithms, and Averaging Inequalities

    Abstract

    The history of the alternating projection method for finding a common point of several convex sets in Euclidean space goes back to the...

    A. V. Proskurnikov, I. S. Zabarianska in Computational Mathematics and Mathematical Physics
    Article 01 April 2024
  8. 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...

    Article 08 September 2023
  9. 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...

    Zheng Peng, Xu Zhang, Zhiqiang Yao in Computational and Applied Mathematics
    Article 04 October 2023
  10. 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...

    Article 29 March 2024
  11. On the Properties of Orthogonal Projection Method for Reaching Consensus

    Abstract

    The article is devoted to an asymptotic behavior of a multi-agent system with information links. We proved that the orthogonal projection...

    R. P. Agaev, D. K. Khomutov in Automation and Remote Control
    Article 01 May 2023
  12. 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...

    **aoyu Wu, Hu Shao, ... Yue Zhuo in Journal of Optimization Theory and Applications
    Article 11 July 2023
  13. 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...

    F. Lara, R. T. Marcavillaca, L. H. Yen in Computational and Applied Mathematics
    Article 27 March 2024
  14. 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...

    A. A. Aguiar, O. P. Ferreira, L. F. Prudente in Computational Optimization and Applications
    Article 28 October 2022
  15. Projection Method for a Class of Integral Operators with Bihomogeneous Kernels

    Abstract

    We consider the multidimensional integral operators with bihomogeneous kernels in the L 2 -space. For such operators, the necessary and...

    O. G. Avsyankin in Russian Mathematics
    Article 01 March 2023
  16. 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...

    Lu-Bin Cui, Jia-Le Yao, **-Yun Yuan in Journal of Optimization Theory and Applications
    Article 08 December 2023
  17. 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 ...

    Abubakar Sani Halilu, Arunava Majumder, ... Salisu Murtala in Vietnam Journal of Mathematics
    Article 05 August 2023
  18. 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...

    Sadiq Bashir Salihu, Abubakar Sani Halilu, ... Salisu Murtala in Journal of Applied Mathematics and Computing
    Article 19 May 2024
  19. 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...

    N. A. Anoshina, D. V. Sorokin in Computational Mathematics and Modeling
    Article 01 January 2023
  20. 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...

    **anzhen Jiang, Zefeng Huang, Huihui Yang in Journal of Applied Mathematics and Computing
    Article 02 April 2024
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