Results 11 to 20 of about 404,975 (273)

Distributed reconstruction via alternating direction method. [PDF]

Comput Math Methods Med, 2013
With the development of compressive sensing theory, image reconstruction from few-view projections has received considerable research attentions in the field of computed tomography (CT). Total-variation- (TV-) based CT image reconstruction has been shown to be experimentally capable of producing accurate reconstructions from sparse-view data.
Wang L, Cai A, Zhang H, Yan B, Li L, Hu G.   +5 more
europepmc   +5 more sources

An Adaptive Alternating Direction Method of Multipliers

Journal of Optimization Theory and Applications, 2022
AbstractThe alternating direction method of multipliers (ADMM) is a powerful splitting algorithm for linearly constrained convex optimization problems. In view of its popularity and applicability, a growing attention is drawn toward the ADMM in nonconvex settings.
Sedi Bartz, Rubén Campoy, Hung M. Phan
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Implicit Alternating Direction Methods [PDF]

Transactions of the American Mathematical Society, 1959
in general plane regions and with respect to linear boundary conditions, is a classical problem of numerical analysis. Many such boundary value problems have been solved successfully on high-speed computing machines, using the (iterative) Young-Frankel "successive overrelaxation" (SOR) method as defined in [1 ] and [2], and variants thereof ("line" and
Birkhoff, Garrett, Varga, Richard S.
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Alternating direction implicit method for poisson equation with integral conditions

Mathematical Modelling and Analysis, 2023
In this paper, we investigate the convergence of the Peaceman-Rachford Alternating Direction Implicit method for the system of difference equations, approximating the two-dimensional elliptic equations in rectangular domain with nonlocal integral ...
Olga Štikonienė, Mifodijus Sapagovas
doaj   +1 more source

Comparison of Finite Difference Solution Methods for Reaction Diffusion System in Two Dimensions [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2011
In this paper, we study three types of finite difference methods, to find the numerical solution of reaction difference systems of PDEs in two dimensions.
Abbas Al-Bayati, Saad Manaa, Abdulghafor Al-Rozbayani   +2 more
doaj   +1 more source

An Alternating Direction Implicit Method for Modeling of Fluid Flow [PDF]

Journal of Hydraulic Structures, 2018
This research includes of the numerical modeling of fluids in two-dimensional cavity. The cavity flow is an important theoretical problem. In this research, modeling was carried out based on an alternating direction implicit via Vorticity-Stream function
Iraj saeedpanah, Arash Adib
doaj   +1 more source

Fast Alternating Direction Optimization Methods [PDF]

SIAM Journal on Imaging Sciences, 2014
Alternating direction methods are a common tool for general mathematical programming and optimization. These methods have become particularly important in the field of variational image processing, which frequently requires the minimization of nondifferentiable objectives. This paper considers accelerated (i.e., fast) variants of two common alternating
Goldstein, Tom, O’Donoghue, Brendan, Setzer, Simon, Baraniuk, Richard   +3 more
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Online Alternating Direction Method [PDF]

, 2012
Online optimization has emerged as powerful tool in large scale optimization. In this paper, we introduce efficient online algorithms based on the alternating directions method (ADM). We introduce a new proof technique for ADM in the batch setting, which yields the O(1/T) convergence rate of ADM and forms the basis of regret analysis in the online ...
Huahua Wang, Arindam Banerjee 0001
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Alternating direction method of multipliers for the extended trust region subproblem [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2017
The extended trust region subproblem has been the focus of several research recently. Under various assumptions, strong duality and certain SOCP/SDP relaxations have been proposed for several classes of it.
Maziar Salahi, Akram Taati
doaj   +1 more source

Alternating Direction Methods for Latent Variable Gaussian Graphical Model Selection [PDF]

, 2012
Chandrasekaran, Parrilo and Willsky (2010) proposed a convex optimization problem to characterize graphical model selection in the presence of unobserved variables.
Ma, Shiqian, Xue, Lingzhou, Zou, Hui
core   +2 more sources