Computing the generalized eigenvalues of weakly symmetric tensors
Sign Up to like & getrecommendations! Published in 2017 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-016-9865-6
Abstract: Tensor is a hot topic in the past decade and eigenvalue problems of higher order tensors become more and more important in the numerical multilinear algebra. Several methods for finding the Z-eigenvalues and generalized eigenvalues… read more here.
Keywords: gradient projection; method; generalized eigenvalues; weakly symmetric ... See more keywords
The Gradient Projection Algorithm for Smooth Sets and Functions in Nonconvex Case
Sign Up to like & getrecommendations! Published in 2020 at "Set-valued and Variational Analysis"
DOI: 10.1007/s11228-020-00550-4
Abstract: We consider the problem of minimization for a function with Lipschitz continuous gradient on a proximally smooth and smooth manifold in a finite dimensional Euclidean space. We consider the Lezanski-Polyak-Lojasiewicz (LPL) conditions in this problem… read more here.
Keywords: algorithm smooth; projection algorithm; gradient projection; smooth 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
Gradient projection-type algorithms for solving equilibrium problems and its applications
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0894-5
Abstract: In this paper, we study strongly pseudo-monotone equilibrium problems in real Hilbert and introduce two simple subgradient-type methods for solving it. The advantages of our schemes are the simplicity of their algorithmic structure which consists… read more here.
Keywords: projection type; equilibrium; equilibrium problems; gradient projection ... See more keywords
Denoising and deblurring gold immunochromatographic strip images via gradient projection algorithms
Sign Up to like & getrecommendations! Published in 2017 at "Neurocomputing"
DOI: 10.1016/j.neucom.2017.03.056
Abstract: Abstract Gold immunochromatographic strip (GICS) assay provides a quick, convenient, single-copy and on-site approach to determine the presence or absence of the target analyte when applied to an extensive variety of point-of-care tests. It is… read more here.
Keywords: gold immunochromatographic; gradient projection; immunochromatographic strip; denoising deblurring ... See more keywords
Linear convergence of gradient projection algorithm for split equality problems
Sign Up to like & getrecommendations! Published in 2018 at "Optimization"
DOI: 10.1080/02331934.2018.1545124
Abstract: ABSTRACT In this paper, we consider the varying stepsize gradient projection algorithm (GPA) for solving the split equality problem (SEP) in Hilbert spaces, and study its linear convergence. In particular, we introduce a notion of… read more here.
Keywords: linear convergence; projection algorithm; gradient projection; split equality ... See more keywords
Globally Convergent Gradient Projection Type Algorithms for a Class of Robust Hypothesis Testings
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2021.3059097
Abstract: This paper considers the popular minimax robust hypothesis testing problem—seeking the optimal decision rule with a minimum error probability for the least favorable distributions (LFDs) lying within an uncertainty set, which is characterized by an… read more here.
Keywords: hypothesis; problem; hypothesis testing; robust hypothesis ... See more keywords
Gradient Projection Method on Matrix Manifolds
Sign Up to like & getrecommendations! Published in 2020 at "Computational Mathematics and Mathematical Physics"
DOI: 10.1134/s0965542520090079
Abstract: The minimization of a function with a Lipschitz continuous gradient on a proximally smooth subset of a finite-dimensional Euclidean space is considered. Under the restricted secant inequality, the gradient projection method as applied to the… read more here.
Keywords: method matrix; projection method; gradient projection; matrix manifolds ... See more keywords
A Gradient Projection Algorithm with a New Stepsize for Nonnegative Sparsity-Constrained Optimization
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Problems in Engineering"
DOI: 10.1155/2020/6489190
Abstract: Nonnegative sparsity-constrained optimization problem arises in many fields, such as the linear compressing sensing problem and the regularized logistic regression cost function. In this paper, we introduce a new stepsize rule and establish a gradient… read more here.
Keywords: projection algorithm; nonnegative sparsity; new stepsize; gradient projection ... See more keywords
Gradient projection method with a new step size for the split feasibility problem
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1712-0
Abstract: In this paper, we introduce an iterative scheme using the gradient projection method with a new step size, which is not depend on the related matrix inverses and the largest eigenvalue (or the spectral radius… read more here.
Keywords: method new; new step; step; gradient projection ... See more keywords
Demodulation method based on a component synthesis and gradient projection for phase-shifting interferometry.
Sign Up to like & getrecommendations! Published in 2022 at "Applied optics"
DOI: 10.1364/ao.469421
Abstract: In order to reduce the vibration error of phase-shifting interferometry (PSI) and improve the demodulation accuracy of the wavefront phase, a demodulation method based on a component synthesis and gradient projection for PSI is proposed.… read more here.
Keywords: demodulation; phase; demodulation method; component synthesis ... See more keywords