On Projection Algorithms for Solving Convex Feasibility Problems

Keywords

Convergence (economics), Regular polygon, Hilbert space, Projection (relational algebra), Algorithm

References

• Convex set theoretic image recovery by extrapolated iterations of parallel subgradient projectionsJoanna P. Williams — 1997
• Geometric Functional Analysis and Its ApplicationsRichard B. Holmes — 1975
• Approximation de Points Fixes de ContractionsP. L. Lions — 1977
• On the method of cyclic projections for convex sets in Hilbert spaceH.H. Bauschke, Jonathan M. Borwein, Adrian S. Lewis — 1994
• Topics in Metric Fixed Point TheoryKazimierz Goebel, W. A. Kirk — 1990
• Theory of extremal problemsA. Ioffe, V. Tikhomirov — 1979
• Topology and Normed SpacesG. J. O. Jameson — 1974
• Convex analysis and variational problemsEkeland, Ivar 1944-, Temam, Roger 1940- — 1976
• Topological Methods in Nonlinear Functional AnalysisSankatha Prasad Singh, S. Thomeier, Bruce A. Watson — 1983
• New iterative methods for linear inequalitiesKai Yang, Katta G. Murty — 1992
• Block-iterative surrogate projection methods for convex feasibility problemsKrzysztof C. Kiwiel — 1995
• Relaxed outer projections, weighted averages and convex feasibilitySjur Didrik Flåm, Jochem Zowe — 1990
• An interior points algorithm for the convex feasibility problemRon Aharoni, Abraham Berman, Yair Censor — 1983
• The Approximation of Fixed Points of Compositions of Nonexpansive Mappings in Hilbert SpaceHeinz H. Bauschke — 1996
• SMART — An algorithm for reconstructing pictures from projectionsManfred R. Trummer — 1983
• Unrestricted iterations of nonexpansive mappings in Hilbert spaceJohn M. Dye, Simeon Reich — 1992
• Approximation of fixed points of nonexpansive mappingsRainer Wittmann — 1992
• Image Reconstruction From ProjectionsRichard Gordon, Gábor T. Herman, Steven A. Johnson — 1975
• On the behavior of a block-iterative projection method for solving convex feasibility problemsDan Butnariu, Yair Censor — 1990
• Parallel application of block-iterative methods in medical imaging and radiation therapyYair Censor — 1988

Cited by

• Projection methods in quantum information scienceYuen-Lam Cheung, Dmitriy Drusvyatskiy, Chi-Kwong Li — 2014
• Particle swarm optimization (PSO) for structural damage detectionMusa Abdalla — 2009
• Convex set theoretic image recovery by extrapolated iterations of parallel subgradient projectionsJoanna P. Williams — 1997
• BEST APPROXIMATION TO COMMON FIXED POINTS OF A SEMIGROUP OF NONEXPANSIVE OPERATORSArkady Aleyner, Yair Censor — 2005
• A STRONGLY CONVERGENT PARALLEL PROJECTION ALGORITHM FOR CONVEX FEASIBILITY PROBLEM yYazheng Dang, Yan Gao — 2012
• Explaining the Result of a Decision Tree to the End-UserIsabelle Alvarez — 2004
• Radiotherapy Planning Using an Improved Search Strategy in Particle Swarm OptimizationPablo Fernández de Córdoba — 2016
• Can Linear Superiorization Be Useful for Linear Optimization Problems?潤一 大塚, 勉 矢作 — 2016
• A CONJECTURE BY DE PIERRO IS TRUE FOR TRANSLATES OF REGULAR SUBSPACESHeinz H. Bauschke, Mclean R. Edwards — 2005
• Alternating minimization and projection methods for nonconvex problemsHédy Attouch, Jérôme Bolte, Patrick Redont — 2008
• MATHEMATICAL OPTIMIZATION FOR THE INVERSE PROBLEM OF INTENSITY MODULATED RADIATION THERAPYYair Censor — 2003
• Limit Superior of Subdifferentials of Uniformly Convergent FunctionsAbderrahim Jourani — 1999
• Fixed point approximation methods for nonexpansive mappings: Optimization problems.Victoria Martín Márquez — 2013
• SHDQP: An algorithm for convex set intersection problems based on supporting hyperplanes and dual quadratic programmingC. H. Jeffrey Pang — 2013
• Mixed-Integer Nonlinear Programming Heuristics Applied to a Shale Gas Production Optimization ProblemShaurya Sharma — 2013
• Projection Methods for Sparse Affine Feasibility: results and counterexamplesRobert Hesse, D. Lüke, Patrick Neumann — 2013
• Explaining a Result to the End-User: A Geometric Approach for Classification ProblemsIsabelle Alvarez, Sophie Martin — 2009
• Image reconstruction and Monte Carlo simulations in the development of proton computed tomography for applications in proton radiation therapyScott Penfold — 2010
• A Projection Algorithm for the Quasiconvex Feasibility Problem 1Li Li, Yan Gao, Yan Gao — 2008
• A proposition to exploit the partially linear structure of the nonlinear multicommodity flow optimization problemPaweł Białoń — 2002

Related papers

• The natural history and clinical course of calculus formation in man.ÁR. ÁRnerud, Löe H, Hans Boysen — 1991
• Regional Systems of Innovation and Regional Policy in EuropeGeorge M. Korres, Dionysios Chionis, Christos Staikouras — 2004
• Dental calculus: recent insights into occurrence, formation, prevention, removal and oral health effects of supragingival and subgingival deposits.Donald J White — 1997
• The prevalence and incidence of dental calculus in adults.B B Beiswanger, Vincent A. Segreto, Mark E Mallatt — 1989
• Application of projection characteristics in learning engineering drawingZhanwen Wu — 2004
• Two normalized projection models and application to group decision-makingChuan Yue — 2017
• [Calculus accumulation on tooth surface in children].P Arthayukti, P Pariyakanok, T Triratana — 1991
• Treatment Experience of 39 Cases of Recurrent calculus after EWSLCao Xin-min — 2013
• Giant Calculus In The Mouth Of Partially Edentulous Woman, (Case Report)JO Taiwo, B Shodeinde — 2003