Publications and preprints

Dissertations

  •    A. Segal, Investigations of iterative algorithms for solving quasiconvex feasibility problems,
       M.Sc. Thesis, supervised by Prof. Yair Censor,
       Department of Mathematics, Faculty of Science and Science Education, University of  Haifa,
       Haifa, Israel, May 2004.


  •    A. Segal, Directed Operators for Common Fixed Point Problems and Convex Programming Problems,
       Ph.D. Dissertation, supervised by Prof. Yair Censor,
       Department of Mathematics, Faculty of Science and Science Education, University of Haifa, Haifa,
       Israel, October 2008.



Research Articles in Refereed Journals, Book Collections and Conference Proceedings

1. Y. Censor and A. Segal, Algorithms for the quasiconvex feasibility problem,
    Journal of Computational and Applied Mathematics, Vol. 185, pp. 34-50, (2006).
     Full paper PDF file. E-reprint of published paper available upon request.

2. 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, Number 2, pp.1244-1256, (2007). Full paper PDF file.

3. 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 file.

4. 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). Final version preprint PDF file.

5. Y. Censor and A. Segal, On String-Averaging for Sparse Problems and On the Split Common Fixed Point Problem,
    Contemporary Mathematics, accepted for publication. Final version preprint PDF file.

6. Y. Censor and A. Segal, The split common fixed point problem for directed operators, Journal of Convex Analysis, Vol. 16, pp. 587-600, (2009).
    Final version preprint PDF file.

7. 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, 2009, to appear, accepted for publication. Final version preprint PDF file.