List of publications of Yair Censor (PDF file). Some publications (including all from 1997 onward) are available below. The serial numbers conform with those in the list of publications. For copies of others please send me an e-mail. Copyright notice: Downloads are supplied for personal academic use only. A download is considered equivalent to a pre-print or re-print request. Use is granted consistent with fair-use of a pre-print or re-print. By downloading the following materials you are agreeing to these terms.

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Dissertations, Authored Books and Edited Volumes

Y. Censor, Linear Inequalities and Global Univalence of Mappings, M.Sc. Thesis (Hebrew, 79pp.), Department of Mathematics, Technion-I.I.T., Haifa, Israel, July 1969.

Y. Censor, Contributions to Optimization Theory: Multiobjective Problems, D.Sc. Thesis (Hebrew, 80pp.), Department of Mathematics, Technion-I.I.T., Haifa, Israel, August 1975.

Y. Censor, T. Elfving and G.T. Herman, (Editors), Linear Algebra in Image Reconstruction from Projections, Elsevier Science Publishing Company, New York, NY, USA, 1990. Special Issue of the Journal "Linear Algebra and Its Applications", Vol. 130 (305pp., ISSN 0024-3795). For information please click here.

Y. Censor and S.A. Zenios, Introduction to Methods of Parallel Optimization, Instituto de Matematica Pura e Aplicada (IMPA), Rio de Janeiro, RJ, Brazil, 1993 (280pp., ISBN 85-244-0074-9). This little book was published for a Short Course on the subject presented at the "19th Coloquio Brasileiro de Matematica".

Y. Censor and S.A. Zenios, Parallel Optimization: Theory, Algorithms, and Applications, Oxford University Press, New York, NY, USA, 1997 (576pp., ISBN 0-19-510062-X). click here to go to the book page at the publisher's site. The authors received for this book from the Institute for Operations Research and the Management Sciences (INFORMS) "The 1999 ICS (INFORMS Computing Society) Prize for Research Excellence In The Interface Between Operations Research and Computer Science". For a book review by Janos D. Pinter click here (PDF 13KB).

Y. Censor and S. Reich (Editors), Recent Developments in Optimization Theory and Nonlinear Analysis, Contemporary Mathematics, Vol. 204, American Mathematical Society (AMS), Providence, Rhode Island, USA, 1997 (278pp., ISBN 0-8218-0515-0). Find more by clicking here.

D. Butnariu, Y. Censor and S. Reich (Editors), Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications, Elsevier Science Publishers, Amsterdam, The Netherlands, 2001 (516pp., ISBN 0-444-50595-4). This book is based on contributions from the participants of the Research Workshop on this topic that was held in Haifa, Israel, in March 2000. Please click here to go to the publisher.

Y. Censor and M. Ding (Editors), Visualization and Optimization Techniques, SPIE Proceedings Volume 4553, SPIE-The International Society for Optical Engineering, Bellingham, Washington, USA, 2001 (416pp., ISBN 0-8194-4281-X). This volume contains papers from the Second International Symposium on Multispectral Image Processing and Pattern Recognition, Wuhan, P.R. China, October 22-24, 2001.

Y. Censor, J.M. Galvin, M. Langer and Y. Xiao (Editors), Linear and Nonlinear Models and Algorithms in Intensity-Modulated Radiation Therapy, Special Issue of the Journal Linear Algebra and Its Applications (LAA), by Elsevier Science Publishing Company, New York, NY, USA, Volume 428, Issues 5-6, Pages 1203-1420 (1 March 2008). See it on Elsevier's ScienceDirect.

Y. Censor, M. Jiang and A.K. Louis (Editors), Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT), Edizioni della Normale, Pisa, Italy, 2008. The book is internationally distributed by Birkhauser-Verlag. Front page, Table of Contents, Preface, and Authors' Addresses PDF (633KB).

Y. Censor, M. Jiang and G. Wang (Editors), Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning and Inverse Problems, Medical Physics Publishing, Madison, WI, USA, 2010. Front page, Table of Contents, Preface, and list of Contributing Authors PDF (89KB).

Y. Censor, G.T. Herman and M. Jiang, Guest Editors, Superiorization: Theory and Applications, Special Issue of the journal Inverse Problems, Volume 33, Number 4, April 2017. Read the Preface to the special issue on the journal's website, or here Preface. Read the titles and abstracts of all 14 papers included in the special issue on the journal's website at: titles and abstracts. To learn more about the superiorization methodology visit: Superiorization and Perturbation Resilience of Algorithms: A Bibliography compiled and continuously updated.

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Research Articles in Refereed Journals, Book Collections and Conference Proceedings

[03] Y. Censor, Pareto optimality in multiobjective problems, Applied Mathematics and Optimization, Vol. 4, pp. 41-59, (1977). DOI:10.1007/BF01442131. E-reprint of published paper available upon request.

[05] Y. Censor, D.E. Gustafson, A. Lent and H. Tuy, A new approach to the emission computerized tomography problem: Simultaneous calculation of attenuation and activity coefficients, IEEE Transactions on Nuclear Science, Vol. NS-26, pp. 2775-2779, (1979). DOI:10.1109/TNS.1979.4330535. E-reprint of published paper available upon request.

[07] Y. Censor, Necessary conditions for Pareto optimality in simultaneous Chebyshev best approximation, Journal of Approximation Theory, Vol. 27, pp. 127-134, (1979). DOI:10.1016/0021-9045(79)90114-X. E-reprint of published paper available upon request.

[09] A. Lent and Y. Censor, Extensions of Hildreth's row-action method for quadratic programming, SIAM Journal on Control and Optimization, Vol. 18, pp. 444-454, (1980). DOI:10.1137/0318033. E-reprint of published paper available upon request.

[14] Y. Censor, Row-action methods for huge and sparse systems and their applications, SIAM Review, Vol. 23, pp. 444-466, (1981). DOI:10.1137/1023097. Full paper PDF (2.3MB) file available from JSTOR. E-reprint of published paper available upon request.

[20] Y. Censor, P.P.B. Eggermont and D. Gordon, Strong underrelaxation in Kaczmarz's method for inconsistent systems, Numerische Mathematik, Vol. 41, pp. 83-92, (1983). E-reprint of published paper PDF (752KB) file.

[24] M.D. Altschuler and Y. Censor, Feasibility solutions in radiation therapy treatment planning, in: Proceedings of the Eighth International Conference on the Use of Computers in Radiation Therapy, IEEE Computer Society Press, Silver Spring, Maryland, USA, 1984, pp. 220-224. E-reprint of published paper PDF (353KB) file.

[29] G.T. Herman, Y. Censor, D. Gordon and R.M. Lewitt, "Comment" (on: Y. Vardi, L.A. Shepp and L. Kaufman, "On a statistical model for positron emission tomography"), Journal of the American Statistical Association, Vol. 80, pp. 22-25, (1985). DOI:10.1080/01621459.1985.10477121. E-reprint of published paper available upon request.

[31] Y. Censor, W.D. Powlis and M.D. Altschuler, On the fully discretized model for the inverse problem of radiation therapy treatment planning, in: Proceedings of the Thirteenth Annual Northeast Bioengineering Conference, (K.R. Foster, Editor), Institute of Electrical and Electronics Engineers (IEEE), New York, NY, USA, Vol. 1 (1987), pp. 211-214. E-reprint of published paper PDF (101KB) file.

[37] Y. Censor, M.D. Altschuler and W.D. Powlis, On the use of Cimmino's simultaneous projections method for computing a solution of the inverse problem in radiation therapy treatment planning, Inverse Problems, Vol. 4, pp. 607-623, (1988). DOI:10.1088/0266-5611/4/3/006. E-reprint of published paper available upon request.

1997

[63] D. Butnariu, Y. Censor and S. Reich, Iterative averaging of entropic projections for solving stochastic convex feasibility problems, Computational Optimization and Applications, Vol. 8, pp. 21-39, (1997). DOI:10.1023/A:1008654413997. E-reprint of published paper PDF (202KB) file.

1998

[64] Y. Censor, A.N. Iusem and S.A. Zenios, An interior point method with Bregman functions for the variational inequality problem with paramonotone operators, Mathematical Programming, Vol. 81, pp. 373-400, (1998). DOI:10.1007/BF01580089. E-reprint of published paper available upon request.

[65] Y. Censor and S. Reich, The Dykstra algorithm with Bregman projections, Communications in Applied Analysis, Vol. 2, pp. 407-419, (1998). Final version preprint PDF (198KB) file.

1999

[66] Y. Censor, Mathematical aspects of radiation therapy treatment planning: Continuous inversion versus full discretization and optimization versus feasibility, in: Computational Radiology and Imaging: Therapy and Diagnosis, C. Börgers and F. Natterer (Editors), The IMA Volumes in Mathematics and its Applications, Vol. 110, Springer-Verlag, New York, NY, USA, 1999, pp. 101-112. DOI:10.1007/978-1-4612-1550-9_6. Final version preprint PDF (227KB) file.

[67] Y. Censor and S. Matej, Binary steering of non-binary iterative algorithms, in: Discrete Tomography: Foundations, Algorithms and Applications, G.T. Herman and A. Kuba (Editors), Birkhauser, Boston, MA, USA, 1999, pp. 285-296. Full paper PDF (239KB) file.

[68] L.M. Bregman, Y. Censor and S. Reich, Dykstra's algorithm as the nonlinear extension of Bregman's optimization method, Journal of Convex Analysis, Vol. 6, pp. 319-333, (1999). Final version preprint PDF (217KB) file. E-reprint of published paper available upon request.

2000

2001

[69] Y. Censor, D. Gordon and R. Gordon, Component averaging: An efficient iterative parallel algorithm for large and sparse unstructured problems, Parallel Computing, Vol. 27, pp. 777-808, (2001). DOI:10.1016/S0167-8191(00)00100-9. Final version preprint PDF (1.0MB) file. E-reprint of published paper available upon request.

[70] Y. Censor, T. Elfving and G.T. Herman, Averaging strings of sequential iterations for convex feasibility problems, in: Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications, D. Butnariu, Y. Censor and S. Reich (Editors), Elsevier Science Publishers, Amsterdam, The Netherlands, 2001, pp. 101-114. Final version preprint PDF (207KB) file.

[71] Y. Censor, D. Gordon and R. Gordon, BICAV: A block-iterative, parallel algorithm for sparse systems with pixel-related weighting, IEEE Transactions on Medical Imaging, Vol. 20, pp. 1050-1060, (2001). DOI:10.1109/42.959302. Final version preprint files: text PDF (311KB), plots and images PDF (107KB). E-reprint of published paper available upon request.

[72] Y. Censor, On sequential and parallel projection algorithms for feasibility and optimization (Keynote Paper), in: Visualization and Optimization Techniques, Y. Censor and M. Ding (Editors), Proceedings of SPIE Volume 4553, SPIE-The International Society for Optical Engineering, Bellingham, WA, USA, 2001, pp. 1-9. DOI:10.1117/12.441550. Final version preprint PDF (222KB) file.

[73] C. Byrne and Y. Censor, Proximity function minimization using multiple Bregman projections, with applications to split feasibility and Kullback-Leibler distance minimization, Annals of Operations Research, Vol. 105, pp. 77-98, (2001). DOI:10.1023/A:1013349430987. E-reprint of published paper PDF (171KB) file. This paper is an abridged version of: C. Byrne and Y. Censor, Proximity function minimization using multiple Bregman projections, with applications to entropy optimization and Kullback-Leibler distance minimization, unpublished Research Report, June 7, 1999.

[74] Y. Censor, Binary steering in discrete tomography reconstruction with sequential and simultaneous iterative algorithms, Linear Algebra and Its Applications, Vol. 339, pp. 111-124, (2001). DOI:10.1016/S0024-3795(01)00470-0. Final version preprint PDF (359KB) file. E-reprint of published paper available upon request.

2002

[75] Y. Censor, N. Cohen, T. Kutscher (Kotzer) and J. Shamir, Summed squared distance error reduction of simultaneous multiprojections and applications, Applied Mathematics and Computation, Vol. 126, pp. 157-179, (2002). DOI:10.1016/S0096-3003(00)00144-2. E-reprint of published paper available upon request.

[76] Y. Censor and S.A. Zenios, Parallel algorithms in optimization, in: Handbook of Applied Optimization (P.M. Pardalos and M.G.C. Resende, Editors), Oxford University Press, New York, NY, USA, 2002, pp. 544-559.

[77] Y. Censor and T. Elfving, Block-iterative algorithms with diagonally scaled oblique projections for the linear feasibility problem, SIAM Journal on Matrix Analysis and Applications, Vol. 24, pp. 40-58, (2002). DOI:10.1137/S089547980138705X. Final version preprint PDF (212KB) file. E-reprint of published paper available upon request.

[**] Y. Censor, Book Review on: The Mathematics of Computerized Tomography (Classics in Applied Mathematics, Vol. 32, Philadelphia, PA, USA: SIAM 2001), by Frank Natterer, Inverse Problems, Vol. 18, pp. 283-284, (2002). Full review PDF 21KB file.

[78] Y. Censor and G.T. Herman, Block-iterative algorithms with underrelaxed Bregman projections, SIAM Journal on Optimization, Vol. 13, pp. 283-297, (2002). DOI:10.1137/S1052623401389439. Final version preprint PDF (336KB) file. E-reprint of published paper available upon request.

[**] J.M. Galvin, Y. Xiao, Y. Chen, G. Bednarz, D. Michalski, Y. Censor, C. Houser, M. Hossain and M.S. Huq, The optimization of inverse planning and IMRT, presented at the 44th AAPM (American Association of Physicists in Medicine) Annual Meeting, Montreal, Canada, July 14-18, 2002. Final version preprint PDF (341KB) file, or click here.

[**] Y. Censor, A University is Not A Business, Guest Article, Haaretz Daily Newspaper, Tel-Aviv, Israel, December 17, 2002, (Hebrew, PDF, 25KB), (English, PDF, 15KB).

2003

[79] D. Butnariu, C. Byrne and Y. Censor, Redundant axioms in the definition of Bregman functions, Journal of Convex Analysis, Vol. 10, pp. 245-254, (2003). Final version preprint PDF (215KB) file. E-reprint of published paper available upon request.

[80] Y. Xiao, Y. Censor, D. Michalski and J.M. Galvin, The least-intensity feasible solution for aperture-based inverse planning in radiation therapy, Annals of Operations Research, Vol. 119, pp. 183-203, (2003). DOI:10.1023/A:1022990724772. E-reprint of published paper PDF (786KB) file.

[81] Y. Censor and T. Elfving, Iterative algorithms with seminorm-induced oblique projections, Abstract and Applied Analysis, Vol. 2003, pp. 387-406, (2003). DOI:10.1155/S108533750321201X. Final version preprint PDF (295KB) file. E-reprint of published paper available upon request.

[**] Y. Censor, The End of An Excellent Education System, Guest Article, Haaretz Daily Newspaper, Tel-Aviv, Israel, October 15, 2003, (Hebrew, PDF, 567KB).

[**] Y. Censor, An Israeli View - A University Is Not A Business, The Funneled Web, "News and Views - December 2002", scroll down to 6th item (or view a PDF (188KB) file of the same) posted: January 5, 2003.

[82] Y. Censor, Mathematical optimization for the inverse problem of intensity modulated radiation therapy, in: J.R. Palta and T.R. Mackie (Editors), Intensity-Modulated Radiation Therapy: The State of The Art, American Association of Physicists in Medicine, Medical Physics Monograph No. 29, Medical Physics Publishing, Madison, Wisconsin, USA, 2003, pp. 25-49. Final version preprint PDF (130KB) file. E-reprint of published paper available upon request.

[83] L.M. Bregman, Y. Censor, S. Reich and Y. Zepkowitz-Malachi, Finding the projection of a point onto the intersection of convex sets via projections onto halfspaces, Journal of Approximation Theory, Vol. 124, pp. 194-218, (2003). DOI:10.1016/j.jat.2003.08.004. Final version preprint PDF (397KB) file. E-reprint of published paper available upon request.

[84] Y. Censor and E. Tom, Convergence of string-averaging projection schemes for inconsistent convex feasibility problems, Optimization Methods and Software, Vol. 18, pp. 543-554, (2003). DOI:10.1080/10556780310001610484. Final version preprint PDF (202KB) file. E-reprint of published paper available upon request.

2004

[85] C.O.S. Sorzano, R. Marabini, G.T. Herman, Y. Censor and J.M. Carazo, Transfer function restoration in 3D electron microscopy via iterative data refinement, Physics in Medicine and Biology, Vol. 49, pp. 509-522, (2004). DOI:10.1088/0031-9155/49/4/003. Final version preprint PDF (266KB) file. E-reprint of published paper available upon request.

[86] D. Michalski, Y. Xiao, Y. Censor and J.M. Galvin, The dose-volume constraint satisfaction problem for inverse treatment planning with field segments, Physics in Medicine and Biology, Vol. 49, pp. 601-616, (2004). DOI:10.1088/0031-9155/49/4/010. Final version preprint PDF (425KB) file. E-reprint of published paper available upon request. Nominated to "Highlights of 2004", a collection of 26 best papers, out of ca. 420 papers and notes, published in this journal in the year 2004.

[87] Y. Xiao, D. Michalski, Y. Censor and J.M. Galvin, Inherent smoothness of intensity patterns for intensity modulated radiation therapy generated by simultaneous projection algorithms, Physics in Medicine and Biology, Vol. 49, pp. 3227-3245, (2004). DOI:10.1088/0031-9155/49/14/015. Final version preprint PDF (1.12MB) file. E-reprint of published paper available upon request.

[**] Y. Censor, In the Absence of Academic Independence, Guest Article, Haaretz Daily Newspaper, Tel-Aviv, Israel, July 6, 2004, (Hebrew, PDF, 27KB).

[88] Y. Censor, A.R. De Pierro and M. Zaknoon, Steered sequential projections for the inconsistent convex feasibility problem, Nonlinear Analysis: Theory, Methods & Applications (Series A: Theory and Methods), Vol. 59, pp. 385-405, (2004). DOI:10.1016/j.na.2004.07.018. Final version preprint PDF (310KB) file. E-reprint of published paper available upon request.

2005

[89] A. Aleyner and Y. Censor, Best approximation to common fixed points of a semigroup of nonexpansive operators, Journal of Nonlinear and Convex Analysis, Vol. 6, pp. 137-151, (2005). Final version preprint PDF (230KB) file.

[**] Y. Censor, How is A Nobel Prize Created, Guest Article, Haaretz Daily Newspaper, Tel-Aviv, Israel, March 23, 2005, (Hebrew, PDF, 24KB).

[**] Y. Censor and I. Gur-ze'ev, The struggle of the academic community for the future of Israeli academia: Alternative assessments of the activity of the "Inter-Senate Committee of the Universities for the Protection of Academic Independence", in: Ilan Gur-Ze'ev (Editor), The End of Israeli Academia? Published by the Faculty of Education, University of Haifa, Haifa, Israel, 2005, pp. 92-109. (PDF, Hebrew, 434KB).

[90] Y. Censor, T. Elfving, N. Kopf and T. Bortfeld, The multiple-sets split feasibility problem and its applications for inverse problems, Inverse Problems, Vol. 21, pp. 2071-2084, (2005). DOI:10.1088/0266-5611/21/6/017. Final version preprint PDF (274KB) file. E-reprint of published paper available upon request.

[**] Y. Censor, The tiger fable, or 'send your bread over the water', Panim, Quarterly for Society, Culture and Education, Published by the Israel Teachers Union (ITU), Tel-Aviv, Israel, Issue No. 34, December 2005, pp. 21-29. (Hebrew, PDF, 620KB).

2006

[91] Y. Censor and S.A. Zenios, Parallel optimization methods, in: Handbook of Parallel Computing and Statistics (E.J. Kontoghiorghes, Editor), Chapman & Hall/CRC Press, Boca Raton, FL, USA, 2006, pp. 199-224. E-reprint of published paper available upon request.

[92] Y. Censor and A. Segal, Algorithms for the quasiconvex feasibility problem, Journal of Computational and Applied Mathematics, Vol. 185, pp. 34-50, (2006). DOI:10.1016/j.cam.2005.01.026. Final version preprint PDF (266KB) file. E-reprint of published paper available upon request.

[93] Y. Censor, Computational acceleration of projection algorithms for the linear best approximation problem, Linear Algebra and Its Applications, Vol. 416, pp. 111-123, (2006). DOI:10.1016/j.laa.2005.10.006. Final version preprint PDF (260KB) file. E-reprint of published paper available upon request.

[94] B. Johansson, T. Elfving, V. Kozlov, Y. Censor, P.-E. Forssén and G. Granlund, The application of an oblique-projected Landweber method to a model of supervised learning, Mathematical and Computer Modelling, Vol. 43, pp. 892-909, (2006). DOI:10.1016/j.mcm.2005.12.010. Final version preprint PDF (400KB) file. E-reprint of published paper available upon request.

[95] Y. Censor, T. Bortfeld, B. Martin and A. Trofimov, A unified approach for inversion problems in intensity-modulated radiation therapy, Physics in Medicine and Biology, Vol. 51, pp. 2353-2365, (2006). DOI:10.1088/0031-9155/51/10/001. Final version preprint PDF (237KB) file. E-reprint of published paper available upon request. Nominated to "Highlights of 2006", a collection of 25 best papers, out of 520 papers, published in this journal in the year 2006.

2007

[96] Y. Censor, A. Motova and A. Segal, Perturbed projections and subgradient projections for the multiple-sets split feasibility problem, Journal of Mathematical Analysis and Applications, Vol. 327, pp. 1244-1256, (2007). DOI:10.1016/j.jmaa.2006.05.010. Final version preprint PDF (243KB) file. E-reprint of published paper available upon request.

[**] Y. Censor, The Crisis in the Higher Education System: On the Sins of the Committee of University Presidents, a guest article published in the newspaper Israel Today (Israel Hayom) Newspaper, November 20, 2007, vol. 1, issue number 76, p. 15. (PDF, Hebrew, 1 page, 220KB).

[**] Y. Censor, The Annihilation of the Academia, a guest article published in Haaretz daily newspaper on Wednesday, December 5, 2007. (PDF, Hebrew, 1 page, 38KB).

To read six earlier guest articles of Yair Censor on the crisis in the higher education system in Israel please click on the following links:
(1) "A University is Not A Business", Haaretz, December 17, 2002. (Hebrew, PDF, 25KB),
(2) "The End of An Excellent Education System", Haaretz, October 15, 2003. (Hebrew, PDF, 567KB),
(3) "In the Absence of Academic Independence", Haaretz, July 6, 2004. (Hebrew, PDF, 27KB),
(4) "How is A Nobel Prize Created", Haaretz, March 23, 2005. (Hebrew, PDF, 24KB),
(5) "The Loss of Academic Freedom", Haaretz, February 18, 2007. (PDF, Hebrew, 2 pages, 88KB),
(6) "The Crisis in the Higher Education System: On the Sins of the Committee of University Presidents", "Israel Today" (Israel Hayom), November 20, 2007. (PDF, Hebrew, 1 page, 220KB).

2008

[97] Y. Censor, J.M. Galvin, M. Langer and Y. Xiao, Preface: Linear and Nonlinear Models and Algorithms in Intensity-Modulated Radiation Therapy (IMRT), Linear Algebra and Its Applications, Vol. 428, pp. 1203-1206, (2008). DOI:10.1016/j.laa.2007.09.033. E-reprint of published paper available upon request. Final version preprint PDF (231KB) file.

[98] Y. Censor, A. Ben-Israel, Y. Xiao and J.M. Galvin, On linear infeasibility arising in intensity-modulated radiation therapy inverse planning, Linear Algebra and Its Applications, Vol. 428, pp. 1406-1420, (2008). DOI:10.1016/j.laa.2007.11.001. E-reprint of published paper available upon request. Final version preprint PDF (357KB) file.

[99] Y. Censor, T. Elfving, G.T. Herman and T. Nikazad, On diagonally-relaxed orthogonal projection methods, SIAM Journal on Scientific Computing, Vol. 30, pp. 473-504, (2008). DOI:10.1137/050639399. E-reprint of published paper available upon request. Final version preprint PDF (465KB) file.

[**] Y. Censor, J.M. Galvin, M. Langer and Y. Xiao (Editors), Linear and Nonlinear Models and Algorithms in Intensity-Modulated Radiation Therapy, Special Issue of the Journal Linear Algebra and Its Applications (LAA), by Elsevier Science Publishing Company, New York, NY, USA, Volume 428, Issues 5-6, Pages 1203-1420 (1 March 2008). See it on Elsevier's ScienceDirect.

[**] Y. Censor, M. Jiang and A.K. Louis (Editors), Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT), Edizioni della Normale, Pisa, Italy, 2008. The book is internationally distributed by Birkhauser-Verlag. Front page, Table of Contents, Preface, and Authors' Addresses PDF (633KB).

[100] Y. Censor, S. Reich and A.J. Zaslavski, General algorithmic frameworks for online problems, International Journal of Pure and Applied Mathematics, Vol. 46, pp. 19-36, (2008). Final version preprint PDF (223KB) file. E-reprint of published paper available upon request. View the table of contents of this issue of IJPAM on MathSciNet or here, PDF (153KB).

[101] D. Butnariu, Y. Censor, P. Gurfil and E. Hadar, On the behavior of subgradient projections methods for convex feasibility problems in Euclidean spaces, SIAM Journal on Optimization, Vol. 19, pp. 786-807, (2008). DOI:10.1137/070689127. Final version preprint PDF (415KB) file. E-reprint of published paper available upon request.

[102] W. Chen, G.T. Herman and Y. Censor, Algorithms for satisfying dose-volume constraints in intensity-modulated radiation therapy, in: Y. Censor, M. Jiang and A.K. Louis (Editors), Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT), Edizioni della Normale, Pisa, Italy, 2008, pp. 97-106. Final version preprint PDF (172KB) file. E-reprint of published paper available upon request.

[103] Y. Censor and A. Segal, Iterative projection methods in biomedical inverse problems, in: Y. Censor, M. Jiang and A.K. Louis (Editors), Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT), Edizioni della Normale, Pisa, Italy, 2008, pp. 65-96. Final version preprint PDF (250KB) file. E-reprint of published paper available upon request.

[104] Y. Censor and A. Gibali, Projections onto super-half-spaces for monotone variational inequality problems in finite-dimensional spaces, Journal of Nonlinear and Convex Analysis, Vol. 9, pp. 461-475, (2008). Final version preprint PDF (253KB) file.

2009

[105] Y. Censor and A. Segal, On the string averaging method for sparse common fixed points problems, International Transactions in Operational Research, Vol. 16, pp. 481-494, (2009). DOI:10.1111/j.1475-3995.2008.00684.x. Final version preprint PDF (186KB) file. E-reprint of published paper available upon request.

[106] Y. Censor and A. Segal, The split common fixed point problem for directed operators, Journal of Convex Analysis, Vol. 16, pp. 587-600, (2009). DOI:10.1088/0266-5611/26/5/055007. Final version preprint PDF (250KB) file. E-reprint of published paper available upon request.

[107] R. Davidi, G.T. Herman, and Y. Censor, Perturbation-resilient block-iterative projection methods with application to image reconstruction from projections, International Transactions in Operational Research, Vol. 16, pp. 505-524, (2009). DOI:10.1111/j.1475-3995.2009.00695.x. Final version preprint PDF (624KB) file. E-reprint of published paper available upon request.

[108] Y. Censor, G.T. Herman and M. Jiang, A note on the behavior of the randomized Kaczmarz algorithm of Strohmer and Vershynin, Journal of Fourier Analysis and Applications, Vol. 15, pp. 431-436, (2009). DOI:10.1007/s00041-009-9077-x. Final version preprint PDF (145KB) file. E-reprint of published paper available upon request. Remark: An editorial comment and a response by Strohmer and Vershynin related to our note appear in Journal of Fourier Analysis and Applications Vol. 15, pp. 429-430, (2009) and Vol. 15, pp. 437-440, (2009), respectively.

[109] S.N. Penfold, R.W. Schulte, Y. Censor, V. Bashkirov, and A.B. Rosenfeld, Characteristics of proton CT images reconstructed with filtered backprojection and iterative projection algorithms, in: IEEE Nuclear Science Symposium and Medical Imaging Conference Record (2009 IEEE-NSS-MIC), October 2009, Orlando, Florida, USA, pp. 4176-4180. DOI:10.1109/NSSMIC.2009.5402282. Final version preprint PDF (235KB) file. E-reprint of published paper available upon request.

[**] Y. Censor, The Efficient Science, a guest article published in Haaretz daily newspaper on Sunday, December 13, 2009. (PDF, Hebrew, 1 page, 436KB).

2010

[110] S.N. Penfold, R.W. Schulte, Y. Censor, V. Bashkirov, S. McAllister, K.E. Schubert and A.B. Rosenfeld, Block-iterative and string-averaging projection algorithms in proton computed tomography image reconstruction, in: Y. Censor, M. Jiang and G. Wang (Editors), Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning and Inverse Problems, Medical Physics Publishing, Madison, WI, USA, 2010, pp. 347-367. Final version preprint PDF (463KB) file. E-reprint of published paper available upon request.

[111] A. Segal and Y. Censor, Seminorm-induced oblique projections for sparse nonlinear convex feasibility problems, in: Y. Censor, M. Jiang and G. Wang (Editors), Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning and Inverse Problems, Medical Physics Publishing, Madison, WI, USA, 2010, pp. 405-421. Final version preprint PDF (235KB) file. E-reprint of published paper available upon request.

[**] Y. Censor, M. Jiang and G. Wang (Editors), Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning and Inverse Problems, Medical Physics Publishing, Madison, WI, USA, 2010. Front page, Table of Contents, Preface, and list of Contributing Authors PDF (89KB).

[112] Y. Censor, R. Davidi and G.T. Herman, Perturbation resilience and superiorization of iterative algorithms, Inverse Problems, Vol. 26 (2010) 065008 (12pp). DOI:10.1088/0266-5611/26/6/065008. Final version preprint PDF (394KB) file. E-reprint of published paper available upon request.

[113] Y. Censor and A. Segal, Sparse string-averaging and split common fixed points, Contemporary Mathematics, Vol. 513, pp. 125-142, (2010). Final version preprint PDF (308KB) file. E-reprint of published paper available upon request.

[114] S.N. Penfold, R.W. Schulte, Y. Censor and A.B. Rosenfeld, Total variation superiorization schemes in proton computed tomography image reconstruction, Medical Physics, Vol. 37, pp. 5887-5895, (2010). DOI:10.1118/1.3504603. Final version preprint PDF (339KB) file. E-reprint of published paper available upon request.

[115] P. Lougovski, J. LeNoach, L. Zhu, Y. Ma, Y. Censor and L. Xing, Toward truly optimal IMRT dose distribution: Inverse planning with voxel-specific penalty, Technology in Cancer Research and Treatment, Vol. 9, pp. 629-636, (2010). DOI:10.1177/153303461000900611. Final version preprint PDF (804KB) file. E-reprint of published paper available upon request.

2011

[116] Y. Censor, A. Gibali and S. Reich, The subgradient extragradient method for solving variational inequalities in Hilbert space, Journal of Optimization Theory and Applications, Vol. 148, pp. 318-335, (2011). DOI: 10.1007/s10957-010-9757-3. Final version preprint PDF (250KB) file. E-reprint of published paper available upon request.

[117] A. Cegielski and Y. Censor, Opial-type theorems and the common fixed point problem, in: H.H. Bauschke, R.S. Burachik, P.L. Combettes, V. Elser, D.R. Luke and H. Wolkowicz (Editors), Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer-Verlag, New York, NY, USA, 2011, pp. 155-183. DOI:10.1007/978-1-4419-9569-8_9. Final version preprint PDF (237KB) file. E-reprint of published paper available upon request.

[118] Y. Censor, A. Gibali and S. Reich, Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space, Optimization Methods and Software, Vol. 26, pp. 827-845, (2011). DOI:10.1080/10556788.2010.551536. Final version preprint PDF (207KB) file. E-reprint of published paper available upon request.

[119] Y. Censor, W. Chen and H. Pajoohesh, Finite convergence of a subgradient projections method with expanding controls, Applied Mathematics and Optimization, Vol. 64, pp. 273-285, (2011). DOI:10.1007/s00245-011-9139-8. Final version preprint PDF (238KB) file. E-reprint of published paper available upon request.

[120] Y. Censor and L. Xing, Iterative prescription refinement in fully-discretized inverse problems of radiation therapy planning, Inverse Problems in Science and Engineering , Vol. 19, pp. 1125-1137, (2011). DOI:10.1080/17415977.2011.603050. Final version preprint PDF (233KB) file. E-reprint of published paper available upon request.

2012

[121] Y. Censor, W. Chen, P.L. Combettes, R. Davidi and G.T. Herman, On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints, Computational Optimization and Applications, Vol. 51, pp. 1065-1088, (2012). DOI:10.1007/s10589-011-9401-7. Final version preprint PDF (721KB) file. E-reprint of published paper available upon request. A related (unpublished) Technical Report: W. Chen, Data sets of very large linear feasibility problems solved by projection methods, March 2, 2011, can be viewed here: PDF (66KB).

[122] Y. Censor and J. Unkelbach, From analytic inversion to contemporary IMRT optimization: Radiation therapy planning revisited from a mathematical perspective, Physica Medica: European Journal of Medical Physics, Vol. 28, pp. 109-118, (2012). DOI:10.1016/j.ejmp.2011.04.002. Final version preprint PDF (265KB) file. E-reprint of published paper available upon request.

[123] Y. Censor, A. Gibali and S. Reich, Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space, Optimization, Vol. 61, pp. 1119-1132, (2012). DOI:10.1080/02331934.2010.539689. Final version preprint PDF (233KB) file. E-reprint of published paper available upon request.

[124] Y. Censor, A. Gibali and S. Reich, Algorithms for the split variational inequality problem, Numerical Algorithms, Vol. 59, pp. 301-323, (2012). DOI:10.1007/s11075-011-9490-5. Final version preprint PDF (232KB) file. E-reprint of published paper available upon request. An earlier version is available at http://arxiv.org/abs/1009.3780.

[125] Y. Censor, A. Gibali, S. Reich and S. Sabach, Common solutions to variational inequalities, Set-Valued and Variational Analysis, Vol. 20, pp. 229-247, (2012). DOI:10.1007/s11228-011-0192-x. Final version preprint PDF (311KB) file. E-reprint of published paper available upon request.

[126] Y. Censor, A. Gibali and S. Reich, A von Neumann alternating method for finding common solutions to variational inequalities, Nonlinear Analysis Series A: Theory, Methods & Applications, Vol. 75, pp. 4596-4603, (2012). DOI:10.1016/j.na.2012.01.021. Final version preprint PDF (212KB) file. E-reprint of published paper available upon request.

[127] A. Carmi, Y. Censor and P. Gurfil, Convex feasibility modeling and projection methods for sparse signal recovery, Journal of Computational and Applied Mathematics, Vol. 236, pp. 4318-4335, (2012). DOI:10.1016/j.cam.2012.03.021. Final version preprint PDF (344KB) file. E-reprint of published paper available upon request.

[128] C. Byrne, Y. Censor, A. Gibali and S. Reich, The split common null point problem, Journal of Nonlinear and Convex Analysis, Vol. 13, pp. 759-775, (2012). Final version preprint PDF (192KB) file. E-reprint of published paper available upon request.

[129] A. Cegielski and Y. Censor, Extrapolation and local acceleration of an iterative process for common fixed point problems, Journal of Mathematical Analysis and Applications, Vol. 394, pp. 809-818, (2012). DOI:10.1016/j.jmaa.2012.04.072. Final version preprint PDF (231KB) file. E-reprint of published paper available upon request.

[130] G.T. Herman, E. Garduño, R. Davidi and Y. Censor, Superiorization: An optimization heuristic for medical physics, Medical Physics, Vol. 39, pp. 5532-5546, (2012). DOI:10.1118/1.4745566. Final version preprint PDF (1,193KB) file. E-reprint of published paper available upon request.

[131] R. Davidi, R.W. Schulte, Y. Censor and L. Xing, Fast superiorization using a dual perturbation scheme for proton computed tomography, Transactions of the American Nuclear Society, Vol. 106, pp. 73-76, (2012). Final version preprint PDF (591KB) file. E-reprint of published paper available upon request.

2013

[132] W. Jin, Y. Censor and M. Jiang, A heuristic superiorization-like approach to bioluminescence, International Federation for Medical and Biological Engineering (IFMBE) Proceedings, Vol. 39, pp. 1026-1029, (2013). DOI:10.1007/978-3-642-29305-4_269. Final version preprint PDF (297KB) file. E-reprint of published paper available upon request.

[133] Y. Censor and A.J. Zaslavski, Convergence and perturbation resilience of dynamic string-averaging projection methods, Computational Optimization and Applications, Vol. 54, pp. 65-76, (2013). DOI:10.1007/s10589-012-9491-x. Final version preprint PDF (209KB) file. E-reprint of published paper available upon request.

[134] M.R. Gholami, L. Tetruashvili, E.G. Ström and Y. Censor, Cooperative wireless sensor network positioning via implicit convex feasibility, IEEE Transactions on Signal Processing, Vol. 61, pp. 5830-5840, (2013). DOI:10.1109/TSP.2013.2279770. Final version preprint PDF (668KB) file. E-reprint of published paper available upon request.

2014

[135] Y. Censor and A.J. Zaslavski, String-averaging projected subgradient methods for constrained minimization, Optimization Methods and Software, Vol. 29, pp. 658-670, (2014). DOI:10.1080/10556788.2013.841693. Final version preprint PDF (218KB) file. E-reprint of published paper available upon request.

[136] Y. Censor, I. Pantelimon and C. Popa, Family constraining of iterative algorithms, Numerical Algorithms, Vol. 66, pp. 323-338, (2014). DOI:10.1007/s11075-013-9736-5. Final version preprint PDF (171KB) file. E-reprint of published paper available upon request.

[137] Y. Censor, R. Davidi, G.T. Herman, R.W. Schulte and L. Tetruashvili, Projected subgradient minimization versus superiorization, Journal of Optimization Theory and Applications, Vol. 160, pp. 730-747, (2014). DOI:10.1007/s10957-013-0408-3. Final version preprint PDF (480KB) file. E-reprint of published paper available upon request.

[138] E.S. Helou, Y. Censor, T.-B. Chen, I.-L. Chern, A.R. De Pierro, M. Jiang and H.H.-S. Lu, String-averaging expectation-maximization for maximum likelihood estimation in emission tomography, Inverse Problems, Vol. 30 (2014) 055003 (20pp). DOI:10.1088/0266-5611/30/5/055003. Final version preprint PDF (615KB) file. E-reprint of published paper available upon request.

2015

[139] R. Davidi, Y. Censor, R.W. Schulte, S. Geneser, and L. Xing, Feasibility-seeking and superiorization algorithms applied to inverse treatment planning in radiation therapy, Contemporary Mathematics, Vol. 636, pp. 83-92, (2015). DOI:10.1090/conm/636/12729. Final version preprint PDF (454KB) file. E-reprint of published paper available upon request.

[140] B. Schultze, M. Witt, Y. Censor, R. Schulte, and K.E. Schubert, Performance of hull-detection algorithms for proton computed tomography reconstruction, Contemporary Mathematics, Vol. 636, pp. 211-224, (2015). DOI:10.1090/conm/636/12739. Final version preprint PDF (1129KB) file. E-reprint of published paper available upon request.

[141] Y. Censor and D. Reem, Zero-convex functions, perturbation resilience, and subgradient projections for feasibility-seeking methods, Mathematical Programming, Series A, Vol. 152, pp. 339-380, (2015). DOI:10.1007/s10107-014-0788-7. Final version preprint PDF (589KB) file. E-reprint of published paper available upon request.

[142] Y. Censor and A.J. Zaslavski, Strict Fejér monotonicity by superiorization of feasibility-seeking projection methods, Journal of Optimization Theory and Applications, Vol. 165, pp. 172-187, (2015). DOI:10.1007/s10957-014-0591-x. Final version preprint PDF (216KB) file. E-reprint of published paper available upon request.

[143] Y. Censor and A. Cegielski, Projection methods: an annotated bibliography of books and reviews, Optimization, Vol. 64, pp. 2343-2358, (2015). DOI:10.1080/02331934.2014.957701. Final version preprint PDF (199KB) file. E-reprint of published paper available upon request.

[144] Y. Censor, Weak and strong superiorization: Between feasibility-seeking and minimization, Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica, Vol. 23, pp. 41-54, (2015). DOI:10.1515/auom-2015-0046. Final version preprint PDF (213KB) file. E-reprint of published paper available upon request.

[***] Y. Censor, Superiorization and perturbation resilience of algorithms: A continuously updated bibliography, Technical Report, June 13, 2015. Available on arXiv at: http://arxiv.org/pdf/1506.04219.pdf or here: PDF (69KB).

[145] S. Penfold and Y. Censor, Techniques in iterative proton CT image reconstruction, Sensing and Imaging, Vol. 16:19, (2015). DOI:10.1007/s11220-015-0122-3. Final version preprint PDF (575KB) file. E-reprint of published paper available upon request.

[***] Y. Censor, S.N. Penfold and R.W. Schulte (Inventors), Systems and methodologies for proton computed tomography, Patent number: US 9,207,193 B2, the United States Patent and Trademark Office, Date of Patent: December 8, 2015. PDF (3,743KB) file. http://pdfpiw.uspto.gov/.piw?PageNum=0&docid=09207193&IDKey=.

[***] R.W. Schulte and Y. Censor (Inventors), Intensity-modulated proton therapy, Patent number: US 9,220,920 B2, the United States Patent and Trademark Office, Date of Patent: December 29, 2015. PDF (2,145KB) file. http://pdfpiw.uspto.gov/.piw?PageNum=0&docid=09220920&IDKey=.

2016

[146] W. Jin, Y. Censor and M. Jiang, Bounded perturbation resilience of projected scaled gradient methods, Computational Optimization and Applications, Vol. 63, pp. 365-392, (2016). DOI:10.1007/s10589-015-9777-x. Final version preprint PDF (357KB) file. E-reprint of published paper available upon request.

[147] Y. Censor and R. Mansour, New Douglas-Rachford algorithmic structures and their convergence analyses, SIAM Journal on Optimization, Vol. 26, pp. 474-487, (2016). DOI:10.1137/141001536. Final version preprint PDF (297KB) file. E-reprint of published paper available upon request.

[148] Y. Censor, A. Gibali, F. Lenzen and C. Schnörr, The implicit convex feasibility problem and its application to adaptive image denoising, Journal of Computational Mathematics, Vol. 34, pp. 610-625, (2016). DOI:10.4208/jcm.1606-m2016-0581. Final version preprint PDF (836KB) file. E-reprint of published paper available upon request.

[149] Y. Censor and Y. Zur, Linear superiorization for infeasible linear programming, in: Y. Kochetov, M. Khachay, V. Beresnev, E. Nurminski and P. Pardalos (Editors), Discrete Optimization and Operations Research, Lecture Notes in Computer Science (LNCS), Vol. 9869, 2016, Springer International Publishing, pp. 15-24. DOI:10.1007/978-3-319-44914-2_2. Final version preprint PDF (935KB) file. Reprint of the paper is available for free download on the publisher's website, under the link: "Download Sample pages 2 PDF (774.4 KB)" thereon.

2017

[150] Y. Censor, Can linear superiorization be useful for linear optimization problems? Inverse Problems, Vol. 33 (2017), 044006 (22pp). DOI:10.1088/1361-6420/33/4/044006. Final version preprint PDF (2,482KB) file. E-reprint of published paper available upon request.

[151] S. Penfold, R. Zalas, M. Casiraghi, M. Brooke, Y. Censor and R. Schulte, Sparsity constrained split feasibility for dose-volume constraints in inverse planning of intensity-modulated photon or proton therapy, Physics in Medicine and Biology, Vol. 62, pp. 3599-3618, (2017). DOI:10.1088/1361-6560/aa602b. Final version preprint PDF (2,199KB) file. E-reprint of published paper available upon request.

[152] Y. Censor, G.T. Herman and M. Jiang, Guest Editors, Superiorization: Theory and Applications, Special Issue of the journal Inverse Problems, Volume 33, Number 4, April 2017. Read the Preface to the special issue on the journal's website, or here Preface. Read the titles and abstracts of all 14 papers included in the special issue on the journal's website at: titles and abstracts. To learn more about the superiorization methodology visit: Superiorization and Perturbation Resilience of Algorithms: A Bibliography compiled and continuously updated.

[***] Y. Censor, Superiorization and perturbation resilience of algorithms: A continuously updated bibliography, Technical Report, Original report: June 13, 2015 contained 41 items. First revision: March 9, 2017 contains 64 items. Available on arXiv at: https://arxiv.org/abs/1506.04219v2 or here: PDF (71KB).

[153] R. Aharoni, Y. Censor and Z. Jiang, Finding a best approximation pair of points for two polyhedra. Technical Report, July 30, 2017, Preprint PDF (284KB) file.

[154] Y. Censor and R. Mansour, Convergence analysis of processes with valiant projection operators in Hilbert Space, Journal of Optimization Theory and Applications, accepted for publication. DOI:10.1007/s10957-017-1174-4. Final version preprint PDF (1,812KB) file.

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