Search Results - Block-iterative algorithmic scheme

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 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 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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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…”
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Block-Iterative Algorithms with Underrelaxed Bregman Projections by Censor, Yair, Herman, Gabor T.

“… 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 by Penfold, Scott, Censor, Yair

“…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 by Penfold, S. N., Schulte, R. W., Censor, Y., Rosenfeld, A. B.

“… 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 by Censor, Yair, Reem, Daniel, Zaknoon, Maroun

“…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 by Censor, Yair, Elfving, Tommy

“…‐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 by Censor, Yair, Reem, Daniel, Zaknoon, Maroun

“…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 by Penfold, Scott, Censor, Yair

“…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 by Censor, Yair, Tom, Eli

“…) 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 by Cervera, M., Codina, R., Galindo, M.

“… Demonstrates the possibility of coupling the block-iterative loop with the nonlinearity…”
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Iterative algorithms with seminorm-induced oblique projections by Censor, Yair, Elfving, Tommy

“… 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 by Censor, Yair, Mansour, Rafiq

“…) 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 by Penfold, S N, Schulte, R W, Censor, Y, Rosenfeld, A B

“… 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 by Davidi, Ran

“…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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New Douglas-rachford Algorithmic Structures and their Convergence Analysis by Mansour, Rafiq

“…) 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 by Mirzapour, Mahdi, Rabbani, Hossein

“… 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 by Muzhinji, Kizito, Shateyi, Stanford, Motsa, Sandile

“…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 by Duff, I.S.

“… 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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