#J2. I.A. Nikas, T.N. Grapsa, Bounding the zeros of an interval equation, Applied Mathematics and Computation, 213(2): 466-478, 2009 [journal] - [preprint]
#J1. E.N. Malihoutsaki, I.A. Nikas, T.N. Grapsa, Improved Newton's method without direct function evaluations, Journal of Computational and Applied Mathematics, 227(1):206--212, 2009 [journal]
Refereed Conference Proceedings:
#C5. I.A. Nikas, G.S. Androulakis and T.N.~Grapsa, A Hybrid Branch and Bound Algorithm for Bound Constrained Optimization, in Proceedings of Numan2010 "Conference in Numerical Analysis", pages 202-207, September 15-18, 2010.
#C4. I.A. Nikas, T.N. Grapsa, On Solving Efficiently Interval Polynomial Equations of Degree n, in Proceedings of Numan2008 "Conference in Numerical Analysis", pages 144-147, September 1-5, Kalamata, 2008.
#C3. E.N. Malihoutsaki, I.A. Nikas, and T.N. Grapsa, Improved Newton's Method Without Direct Function Evaluations, in Proceedings of Numan2007 "Conference in Numerical Analysis", pages 85-88, September 3-7, Kalamata, 2007.
#C2. I.A. Nikas, D.G. Sotiropoulos, and T.N. Grapsa, Extending Interval Newton Method for Nonlinear Parameterized Equations, in Proceedings of ICNAAM 2006 "International Conference on Numerical Analysis and Applied Mathematics", Wiley-VCH, ISBN 3-527-40743-X, pages 512-515,
September 15-19, Hersonisos, Crete, 2006.
#C1. D.G. Sotiropoulos, J.A. Nikas, and T.N. Grapsa, Improving the Efficiency of a Polynomial System Solver via a Reordering Technique, in Proceedings of 4th GRACM "Congress on Computational Mechanics", vol III, pages 970-977, June 27-29, 2002.
Refereed Conference Presentations:
#P3. I.A.~Nikas, T.N.~Grapsa. An escape-from-local minima technique in unconstrained optimization, In Numan2012 "5th Conference in Numerical Analysis, page 34, Ioannina, September 5–8, 2012.
#P2. I.A.~Nikas, T.N.~Grapsa, G.S.~Androulakis. Global Optimization via Interval Equations, 23rd Conference on Operational Research (Euro XXIII 2009), page 249, July 05--08, 2009.
#P1. C.D. Nikolakakou, T.N. Grapsa, I.A. Nikas, and G.S. Androulakis, A Lexicographic Approach on Unconstrained Optimization, 23rd Conference on Operational Research (Euro XXIII 2009), page 90, July 05--08, 2009.
Ioannis A. Nikas, MSc, PhD | Publications About Me Research Teaching Interests Contact Conferences | Tips & Hints Photos Software Links
#14. H.-S. Ahn, An algorithm to determine linear independence of a set of interval vectors, Applied Mathematics and Computation, 219 (22), 10822–10830, 2013 (on #J2).
#13. M. Ghanbari, T. Allahviranloo and E. Haghi, Estimation of algebraic solution by limiting the solution set of an interval linear system, Soft Computing, 16 (12), 2135-2142, 2012 (on #J2).
#12. S. Taheria, M. Mammadov and S. Seifollahi, Globally convergent algorithms for solving unconstrained optimization problems, Optimization, DOI:10.1080/02331934.2012.745529. (on #J1).
#11. T. Allahviranloo and M. Ghanbari, On the algebraic solution of fuzzy linear systems based on interval theory, Applied Mathematical Modelling, 36 (11), 5360-5379, 2012 (on #J2).
#10. T. Allahviranloo, M. Ghanbari, A new approach to obtain algebraic solution of interval linear systems, Soft Computing, 16 (1), 121–133, 2012 (on #J2).
#09. L. Jia, Y. Wang, N. Dong, A novel memetic algorithm for nonlinear bilevel programming with inequality constraints for the upper level, Journal of Information & Computational Science, 7(6), 1279–1286, 2010. (on #J1).
#08. B. Ghanbari and M.G. Porshokouhi, An Improved Newton's Method Without Direct Function Evaluations, General Mathematics Notes, 2 (2), 64-72, 2011 (on #J1).
#07. J. Biazar, B. Ghanbari, A modification on Newton's method for solving systems of nonlinear equations, World Academy of Science, Engineering and Technology, 58, 897–901, 2009 (on #J1).
#06. J. Biazar, B. Ghanbari, A modification on Newton's method for solving systems of nonlinear equations, World Academy of Science, Engineering and Technology, 58, 897–901, 2009 (on #C1).
#05. R. Lin, H. Jiang, L. Cheng, Solving Nonsmooth Interval Equations with Slopes, In Proceedings of the 2009 11th international Symposium on Symbolic and Numeric Algorithms For Scientific Computing. (SYNASC September 26 - 29, 2009). IEEE Computer Society, Washington, DC, 142-149. DOI= http://dx.doi.org/10.1109/SYNASC.2009.21 (on #J2).
#04. F. Goualard, and C. Jermann, A Reinforcement Learning Approach to Interval Constraint Propagation, Constraints, 2008. (on #C1).
#03. F. Goualard, and C. Jermann, La propagation d'intervalles vue comme un probl`eme de banditmanchot non stationnaire, in Journees Francophones de Programmation par Contraintes (Actes JFPC 2006), Nˆ?mes, 2006 (on #C1)
#02. F. Goualard, On the Selection of a Transversal to Solve Nonlinear Systems with Interval Arithmetic, in 6th International Conference on Computational Science (ICCS 2006), 2006 (on #C1)
#01. F. Goualard, On considering an interval constraint solving algorithm as a free-steering nonlinear Gauss-Seidel procedure, in Proceedings of the 2005 ACM Symposium on Applied Computing (SAC 2005), Pages: 1434 - 1438, 2005 (on #C1)