Search Results - "block-iterative algorithms"

Block-iterative algorithms by Byrne, Charles

“…The recently presented sequential unconstrained minimization algorithm, SUMMA, is extended to provide a framework for the derivation of block‐iterative, or…”
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Convergence studies on block iterative algorithms for image reconstruction by Guo, Xue-Ping

“…The sequential block-iterative scheme based on Landweber’s method is a general iterative one for image reconstruction. In this paper, we give the finite…”
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Block-iterative algorithms for solving convex feasibility problems in Hilbert and in Banach spaces by Aleyner, Arkady, Reich, Simeon

“…We establish convergence theorems for two different block-iterative methods for solving the problem of finding a point in the intersection of the fixed point…”
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Subset-dependent relaxation in block-iterative algorithms for image reconstruction in emission tomography by Tanaka, Eiichi, Kudo, Hiroyuki

“…This paper presents a row-action maximum likelihood algorithm (RAMLA), in which the relaxation parameter is controlled in such a way that the noise propagation…”
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Block-Iterative Algorithms with Diagonally Scaled Oblique Projections for the Linear Feasibility Problem by Censor, Yair, Elfving, Tommy

“…We formulate a block-iterative algorithmic scheme for the solution of systems of linear inequalities and/or equations and analyze its convergence. This study…”
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Block-Iterative Algorithms with Underrelaxed Bregman Projections by Censor, Yair, Herman, Gabor T.

“…The notion of relaxation is well understood for orthogonal projections onto convex sets. For general Bregman projections it was considered only for…”
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Bounds on the largest singular value of a matrix and the convergence of simultaneous and block-iterative algorithms for sparse linear systems by Byrne, Charles

“…We obtain the following upper bounds for the eigenvalues of the matrix A†A. For any a in the interval [0, 2] let and ca and ra the maxima of the caj and rai,…”
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The Modified Block Iterative Algorithms for Asymptotically Relatively Nonexpansive Mappings and the System of Generalized Mixed Equilibrium Problems by Wattanawitoon, Kriengsak, Kumam, Poom

“…The propose of this paper is to present a modified block iterative algorithm for finding a common element between the set of solutions of the fixed points of two countable families of asymptotically…”
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Convergent block-iterative algorithms for image reconstruction from inconsistent data by Byrne, C.L.

“…It has been shown that convergence to a solution can be significantly accelerated for a number of iterative image reconstruction algorithms, including…”
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Perturbation-resilient block-iterative projection methods with application to image reconstruction from projections by Davidi, R., Herman, G.T., Censor, Y.

“…A block‐iterative projection algorithm for solving the consistent convex feasibility problem in a finite‐dimensional Euclidean space that is resilient to…”
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Accelerated perturbation-resilient block-iterative projection methods with application to image reconstruction by Nikazad, T, Davidi, R, Herman, G T

“…We study the convergence of a class of accelerated perturbation-resilient block-iterative projection methods for solving systems of linear equations. We prove…”
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A modular string averaging procedure for solving the common fixed point problem for quasi-nonexpansive mappings in Hilbert space by Reich, Simeon, Zalas, Rafał

“…In this paper we consider the common fixed point problem for a finite family of quasi-nonexpansive mappings U i : ℋ → ℋ , where i ∈ I := {1,…, M }, M ≥1, and ℋ…”
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On the computational efficiency and implementation of block-iterative algorithms for nonlinear coupled problems by Cervera, M., Codina, R., Galindo, M.

“…Outlines a general methodology for the solution of the system of algebraic equations arising from the discretization of the field equations governing coupled…”
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Pseudoinverse-free randomized block iterative algorithms for consistent and inconsistent linear systems by Du, Kui, Xiao-Hui, Sun

“… In this paper, we propose two novel pseudoinverse-free randomized block iterative algorithms for solving consistent and inconsistent linear systems…”
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Performance evaluation of block-iterative algorithms for SPECT reconstruction by Chi Liu, Volokh, L., Xide Zhao, Jingyan Xu, Taek-Soo Lee, Tsui, B.M.W.

“…The purpose of this study is to evaluate the performance of four block-iterative algorithms, ordered-subsets expectation-maximization (OS-EM…”
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Block Iterative Algorithms for Solving Hermite Bicubic Collocation Equations by Sun, W.

“… is reduced to a block tridiagonal and "block symmetric" system. A class of block iterative algorithms is developed for solving the resulting system…”
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Performance evaluation of relaxed block-iterative algorithms for 3-D PET reconstruction by Fukano, A., Nakayama, T., Kudo, H.

“…We evaluate performances of the four typical block-iterative algorithms (OSEM, RBI, RAMLA, DRAMA…”
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On the Effect of Relaxation in the Convergence and Quality of Statistical Image Reconstruction for Emission Tomography Using Block-Iterative Algorithms by Neto, E.S.H., De Pierro, A.R.

“…Relaxation is widely recognized as a useful tool for providing convergence in block-iterative algorithms [1], [2], [6…”
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Block-Iterative Algorithms for Non-negative Matrix Approximation by Sra, S.

“…In this paper we present new algorithms for non-negative matrix approximation (NMA), commonly known as the NMF problem. Our methods improve upon the well-known…”
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Choosing parameters in block-iterative or ordered subset reconstruction algorithms by Byrne, C.

“…Viewed abstractly, all the algorithms considered here are designed to provide a nonnegative solution x to the system of linear equations y=Px, where y is a…”
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