Výsledky vyhledávání - Block-iterative algorithmic scheme
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Block-iterative algorithms for solving convex feasibility problems in Hilbert and in Banach spaces
ISSN: 0022-247X, 1096-0813Vydáno: Amsterdam Elsevier Inc 01.07.2008Vydáno v Journal of mathematical analysis and applications (01.07.2008)“…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 sets of a finite number of nonexpansive…”
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A modular string averaging procedure for solving the common fixed point problem for quasi-nonexpansive mappings in Hilbert space
ISSN: 1017-1398, 1572-9265Vydáno: New York Springer US 01.06.2016Vydáno v Numerical algorithms (01.06.2016)“…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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Block-Iterative Algorithms with Diagonally Scaled Oblique Projections for the Linear Feasibility Problem
ISSN: 0895-4798, 1095-7162, 1095-7162Vydáno: Philadelphia, PA Society for Industrial and Applied Mathematics 2002Vydáno v SIAM journal on matrix analysis and applications (2002)“…We formulate a block-iterative algorithmic scheme for the solution of systems of linear inequalities and/or equations and analyze its convergence…”
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Block-Iterative Algorithms with Underrelaxed Bregman Projections
ISSN: 1052-6234, 1095-7189, 1095-7189Vydáno: Philadelphia Society for Industrial and Applied Mathematics 2002Vydáno v SIAM journal on optimization (2002)“… projections onto linear sets as given by De Pierro and Iusem [J. Optim. Theory Appl., 51 (1986), pp. 421--440]. With this new definition, we construct a block-iterative…”
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Techniques in Iterative Proton CT Image Reconstruction
ISSN: 1557-2064, 1557-2072Vydáno: New York Springer US 01.12.2015Vydáno v Sensing and imaging (01.12.2015)“…This is a review paper on some of the physics, modeling, and iterative algorithms in proton computed tomography (pCT) image reconstruction. The primary…”
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Total variation superiorization schemes in proton computed tomography image reconstruction
ISSN: 0094-2405, 2473-4209, 0094-2405Vydáno: United States American Association of Physicists in Medicine 01.11.2010Vydáno v Medical physics (Lancaster) (01.11.2010)“… In the current work, the authors investigated the use of total variation superiorization (TVS) schemes that can be applied as an algorithmic add-on to perturbation-resilient iterative projection algorithms for pCT image reconstruction. Methods…”
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A generalized block-iterative projection method for the common fixed point problem induced by cutters
ISSN: 0925-5001, 1573-2916Vydáno: New York Springer US 01.12.2022Vydáno v Journal of global optimization (01.12.2022)“…The block-iterative projections (BIP) method of Aharoni and Censor [Block-iterative projection methods for parallel computation of solutions to convex feasibility problems, Linear Algebra and its Applications 120, (1989), 165–175…”
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ITERATIVE ALGORITHMS WITH SEMINORM-INDUCED OBLIQUE PROJECTIONS
ISSN: 1085-3375, 1687-0409Vydáno: Hindawi Limiteds 2003Vydáno v Abstract and Applied Analysis (2003)“…‐iterative algorithmic scheme for solving the convex feasibility problem, employing seminorm…”
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A Generalized Block-Iterative Projection Method for the Common Fixed Point Problem Induced by Cutters
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 12.06.2022Vydáno v arXiv.org (12.06.2022)“…The block-iterative projections (BIP) method of Aharoni and Censor [Block-iterative projection methods for parallel computation of solutions to convex feasibility problems, Linear Algebra and its Applications 120, (1989), 165--175…”
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Techniques in Iterative Proton CT Image Reconstruction
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 29.10.2015Vydáno v arXiv.org (29.10.2015)“…This is a review paper on some of the physics, modeling, and iterative algorithms in proton computed tomography (pCT) image reconstruction. The primary…”
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Convergence of String-Averaging Projection Schemes for Inconsistent Convex Feasibility Problems
ISSN: 1055-6788, 1029-4937Vydáno: Taylor & Francis Group 01.10.2003Vydáno v Optimization methods & software (01.10.2003)“…) an algorithmic scheme which genenralizes both the string-averaging algorithm and the block-iterative projections (BIP…”
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On the computational efficiency and implementation of block-iterative algorithms for nonlinear coupled problems
ISSN: 0264-4401, 1758-7077Vydáno: Bradford MCB UP Ltd 01.01.1996Vydáno v Engineering computations (01.01.1996)“… Demonstrates the possibility of coupling the block-iterative loop with the nonlinearity…”
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Iterative algorithms with seminorm-induced oblique projections
ISSN: 1085-3375, 1687-0409Vydáno: 01.01.2003Vydáno v Abstract and applied analysis (01.01.2003)“… A block-iterative algorithmic scheme for solving the convex feasibility problem, employing seminorm-induced oblique projections, is constructed and its convergence for the consistent case is established…”
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New Douglas-Rachford algorithmic structures and their convergence analyses
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 01.12.2015Vydáno v arXiv.org (01.12.2015)“…) and into the Block-Iterative Pro- jection (BIP) algorithmic structures, thereby creating new DR algo- rithmic schemes that include the recently proposed cyclic Douglas- Rachford algorithm and the averaged DR algorithm as special cases…”
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Total variation superiorization schemes in proton computed tomography image reconstruction
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 08.10.2010Vydáno v arXiv.org (08.10.2010)“… In the current work, we investigated the use of total variation superiorization (TVS) schemes that can be applied as an algorithmic add-on to perturbation-resilient iterative projection algorithms for pCT image reconstruction. Methods…”
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Algorithms for superiorization and their applications to image reconstruction
ISBN: 1124289372, 9781124289373Vydáno: ProQuest Dissertations & Theses 01.01.2010“…Computational tractability with limited computing resources is a major barrier for the ever increasing problem sizes of constrained optimization models that…”
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Dissertation -
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New Douglas-rachford Algorithmic Structures and their Convergence Analysis
ISBN: 9798471195400Vydáno: ProQuest Dissertations & Theses 01.01.2014“…) method and the Block-Iterative Projection (BIP) method.In this thesis we do two things…”
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Investigation on accelerated ordered subsets image reconstruction techniques with superiorization methodology
ISSN: 2190-5444, 2190-5444Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 08.07.2022Vydáno v European physical journal plus (08.07.2022)“… Furthermore, to speed up the iterations, we apply a recently introduced generalized relaxation scheme and give a convergence analysis based on the algorithmic operators…”
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The Mixed Finite Element Multigrid Preconditioned MINRES Method for Stokes Equations
ISSN: 1735-3572, 1735-3645Vydáno: Isfahan Isfahan University of Technology 2016Vydáno v Journal of Applied Fluid Mechanics (2016)“…The study considers the saddle point problem arising from the mixed finite element discretization of the steady state Stokes equations. The saddle point…”
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Parallel algorithm research at CERFACS
ISBN: 0818620560, 9780818620560Vydáno: IEEE Comput. Soc. Press 1990Vydáno v Supercomputing, `90 (1990)“… The author discusses in detail two such projects, namely the solution by direct methods using a multifrontal scheme and by iterative methods using a block projection method…”
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