Computing tensor Z-eigenpairs via an alternating direction method [PDF]
PeerJ Computer Science, 2023 Tensor eigenproblems have wide applications in blind source separation, magnetic resonance imaging, and molecular conformation. In this study, we explore an alternating direction method for computing the largest or smallest Z-eigenvalue and corresponding
Genjiao Zhou +2 more
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Fourier Ptychographic Microscopy via Alternating Direction Method of Multipliers [PDF]
Cells, 2022 Fourier ptychographic microscopy (FPM) has risen as a promising computational imaging technique that breaks the trade-off between high resolution and large field of view (FOV). Its reconstruction is normally formulated as a blind phase retrieval problem,
Aiye Wang +5 more
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Quantitative susceptibility mapping using plug-and-play alternating direction method of multipliers [PDF]
Scientific Reports, 2022 Quantitative susceptibility mapping employs regularization to reduce artifacts, yet many recent denoisers are unavailable for reconstruction. We developed a plug-and-play approach to QSM reconstruction (PnP QSM) and show its flexibility using several ...
Srikant Kamesh Iyer +7 more
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Convergence analysis on a modified generalized alternating direction method of multipliers [PDF]
Journal of Inequalities and Applications, 2018 The alternating direction method of multipliers (ADMM) is one of the most powerful and successful methods for solving convex composite minimization problem.
Sha Lu, Zengxin Wei
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Compressed sensing MRI via fast linearized preconditioned alternating direction method of multipliers [PDF]
BioMedical Engineering OnLine, 2017 Background The challenge of reconstructing a sparse medical magnetic resonance image based on compressed sensing from undersampled k-space data has been investigated within recent years.
Shanshan Chen +4 more
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Low-Density Parity-Check Decoding Algorithm Based on Symmetric Alternating Direction Method of Multipliers [PDF]
EntropyThe Alternating Direction Method of Multipliers (ADMM) has proven to be an efficient approach for implementing linear programming (LP) decoding of low-density parity-check (LDPC) codes.
Ji Zhang +5 more
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Low Dose PET Image Reconstruction with Total Variation Using Alternating Direction Method. [PDF]
PLoS ONE, 2016 In this paper, a total variation (TV) minimization strategy is proposed to overcome the problem of sparse spatial resolution and large amounts of noise in low dose positron emission tomography (PET) imaging reconstruction. Two types of objective function
Xingjian Yu +3 more
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Numerical Solution to the Fluid Flow in a Bend Duct Equation [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 The Fluid Flow in a bend Duct equation had been solved numerically by using two methods. The first is ADE (Alternating Direction Explicit) method and the second is ADI (Alternating Direction Implicit) method.
Badran Salem
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Alternating Direction Implicit Method for Solving Heat Diffusion Problems
Tikrit Journal of Pure Science, 2021 The objective of this paper to find the solution of fractional partial differential equations using numerical methods to solve heat diffusion problems and this method is the implicit alternating direction method ADI with discussion of its algorithm and ...
Awni M. Gaftan +2 more
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Alternating Direction Implicit Method for Solving Parabolic Partial Differential Equations in Three Dimensions [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 In this paper, the parabolic partial differential equations in three-dimensions are solved by two types of finite differences, such as, Alternating Direction Explicit (ADE) method and Alternating Direction Implicit (ADI) method.
Abdulghafor Al-Rozbayani, Mahmood Yahya
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