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Convergence of Picard’s iteration using projection algorithm for noncyclic contractions

Indagationes Mathematicae, 2019
This paper deals with some of the conditions for the convergence of Picard's iteration for non-cyclic contractions using a projection algorithm in uniformly convex Banach spaces. The author also discusses the existence of common best proximity pairs for a couple of non-cyclical mappings. Some examples are given to illustrate the main conclusions.
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Non-iterative conductivity reconstruction algorithm using projected current density in MREIT

Physics in Medicine and Biology, 2008
Magnetic resonance electrical impedance tomography (MREIT) is to visualize the current density and the conductivity distribution in an electrical object Omega using the measured magnetic flux data by an MRI scanner. MREIT uses only one component B(z) of the magnetic flux density B = (B(x), B(y), B(z)) generated by an injected electrical current into ...
Hyun Soo, Nam   +2 more
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BSIRT: A Block-Iterative SIRT Parallel Algorithm Using Curvilinear Projection Model

IEEE Transactions on NanoBioscience, 2015
Large-field high-resolution electron tomography enables visualizing detailed mechanisms under global structure. As field enlarges, the distortions of reconstruction and processing time become more critical. Using the curvilinear projection model can improve the quality of large-field ET reconstruction, but its computational complexity further ...
Fa, Zhang   +6 more
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Mixed-Norm Projection-Based Iterative Algorithm for Face Recognition

2019
In this paper, the mixed-norm optimization is investigated for sparse signal reconstruction. Furthermore, an iterative optimization algorithm based on the projection method is presented for face recognition. From the theoretical point of view, the optimality and convergence of the proposed algorithm is strictly proved. And from the application point of
Qingshan Liu, Jiang Xiong, Shaofu Yang
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An iteratively approximated gradient projection algorithm for sparse signal reconstruction

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhongyi, Wei, Zhihui, Sun, Wenyu
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An Iterative Projection Algorithm and Some Simulation Results

1996
An iterative projection method for large linear equation systems is described. It has favourable properties with respect to many statistical applications. A major advantage is that convergence can be established without restrictions on the system matrix. Hence diagonal dominance or regularity are not required.
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Accelerated norm-optimal iterative learning control algorithms using successive projection

International Journal of Control, 2009
This article proposes a novel technique for accelerating the convergence of the previously published norm-optimal iterative learning control (NOILC) methodology. The basis of the results is a formal proof of an observation made by D.H. Owens, namely that the NOILC algorithm is equivalent to a successive projection algorithm between linear varieties in ...
Chu, Bing, Owens, David H.
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A Relaxed Iterative Projection Algorithm for Rank-Deficient Regression Problems

2006
A relaxed iterative projection (abb. RIP) algorithm for arbitrary linear equation systems is described. It has favorable properties with respect to many statistical applications. A major advantage is that convergence can be established without restrictions on the system matrix.
Michael G. Schimek, Haro Stettner
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Iterative projection algorithms and applications in x-ray crystallography

2011
X-ray crystallography is a technique for determining the structure (positions of atoms in space) of molecules. It is a well developed technique, and is applied routinely to both small inorganic and large organic molecules. However, the determination of the structures of large biological molecules by x-ray crystallography can still be an experimentally ...
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Iterative Geometric Calibration Algorithm Based on Projection Point Correction

2022 2nd Asia-Pacific Conference on Communications Technology and Computer Science (ACCTCS), 2022
Zeqin Hu   +4 more
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