Publications

1980
Demetriou IC. Generalized Preconditioned Strategies. Department of Computer Studies, University of Technology, Loughborough, U.K., 145 pp. 1980.
1983
Demetriou IC. Piecewise monotonic methods for data smoothing. Reseach Essay. Cambridge, U.K. : Department of Applied Mathematics and Theoretical Physics, Univesrity of Cambridge; 1983 pp. 70.
Demetriou IC, Evans DJ. The preconditioning by direct factorization method for solving self-adjoint partial differential equations. In: Preconditioning. Analysis and Applications. Vol. 1. DJ Evans, Editor. Gordon and Breach Sci. Pub.; 1983. pp. 356-378.
1985
Demetriou IC. Data smoothing by piecewise monotonic divided differences. Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge, Cambridge, U.K. 1985.
Demetriou IC, Evans DJ. The preconditioned variational methods for solving large linear systems. Mathematics and Computers in Simulation. 1985;27:365-372.
1987
Demetriou IC, Evans DJ. The preconditioned conjugate gradient method for solving elliptic difference equations. In: Numerical Approximation of Partial Differential Equations. EL Ortiz, Editor. Elsevier Sci. Pub. North-Holland; 1987. pp. 205-217.
1990
Demetriou IC. A characterization theorem for the discrete best monotonic approximation problem. Mathematics of Computation. 1990;55:191-195.
1991
Demetriou IC, Powell MJD. Least squares smoothing of univariate data to achieve piecewise monotonicity. Institute of Mathematics and its Applications Journal of Numerical Analysis (IMA J. Numer. Analysis). 1991;11:441-432.
Demetriou IC, Powell MJD. The minimum sum of squares change to univariate data that gives convexity. IMA J.Numer. Analysis. 1991;11:433–448.
1993
Demetriou IC. Nonparametric regression by nonnegative divided differences. In: Proceedings of the 6th Hellenic Conference on Statistics, Thessaloniki, Greek Statistical Institute, June 1993. ; 1993. pp. 32-39.
Demetriou IC. A dual algorithm with multiple constraint additions for strictly convex quadratic programming. In: Advances on Computer Mathematics and its Applications. EA Lipitakis, Editor. World Scientific; 1993. pp. 22-29.
Demetriou IC. Optimization: Algorithms and Software Libraries (Βελτιστοποίηση: Αλγόριθμοι και Βιβλιοθήκες Λογισμικού). Mathematical Review, Hellenic Mathematical Society Pub.(Mαθηματική Επιθεώρηση, Ελληνική Μαθηματική Εταιρεία). 1993;38:14-29.
Demetriou IC, Lipitakis EA. On a stable Quadratic Programming Algorithm for L2 data approximation by non-negative divided differences. In: Advances on Computer Mathematics and its Applications. EA Lipitakis, Editor. World Scientific; 1993. pp. 340-348.
1994
Demetriou IC. An overview of theory for piecewise monotonic approximation. In: HERMIS 94, Proceedings of the 2nd Conference on Informatics and Mathematics . Vol. 2. E.A. Lipitakis, Editor. Athens, Greece: Hellenic Mathematical Society Publisher; 1994. pp. 667-682.
Demetriou IC. A characterization theorem of the best piecewise monotonic data approximation by a strictly convex metric. In: Proceedings of the 7th Hellenic Conference on Statistics, Nicosia, Cyprus, Greek Statistical Institute. Vol. 1. ; 1994. pp. 31-38.
Demetriou IC, Lipitakis EA. On a stable Quadratic Programming Algorithm for l2 data approximation by non-negative divided differences. In: Proceedings of the 2nd Conference on Informatics and Mathematics. Vol. Vol. 2. E.A. Lipitakis, Editor, . Athens, Greece: Hellenic Mathematical Society Pub.; 1994. pp. 633-644.
Demetriou IC, Lipitakis EA. Data modelling by least squares and non-negative divided differences. Mathematical Modelling and Scientific Computing. 1994;4:557-562.
Demetriou IC. An efficient dual strategy for strictly convex quadratic programming. Mathematical Modelling and Scientific Computing. 1994;4:513-518.
Demetriou IC. Best L1 piecewise monotonic data modelling. International Transactions in Operational Research (IFORS). 1994;1(1):85-94.
1996
Demetriou IC, Lipitakis EA. Case study: Least squares data smoothing by non-negative divided differences. HERMIS 96, Proceedings of the 3rd Conference on Informatics and Mathematics, E.A. Lipitakis, Editor, Athens, Greece, September 1996. 1996:604-620.
A dual algorithm for strictly convex quadratic programming with multiple search directions (Ένας δυϊκός αλγόριθμος για αυστηρά κυρτό τετραγωνικό προγραμματισμό με πολυκατευθυντικά βήματα). Proceedings of the 9th Hellenic Conference on Statistics, Xanthi, Greek Statistical Institute, April 1996. 1996:71-78.
1997
CXFTV2: A Fortran subroutine for the discrete least squares convex approximation. Computer Physics Communications (CPC). 1997;100:297-310.
Experience with the best piecewise monotonic approximations to discrete data (Εμπειρία με τις κατά τμήματα μονότονες προσεγγίσεις διακριτών δεδομένων). Proceedings of the 10th Hellenic Conference on Statistics, Piraeus, Greek Statistical Institute, June 1997. 1997:109-123.
Demetriou IC, Powell MJD. Least squares fitting to univariate data subject to restrictions on the signs of the second differences. In: Approximation Theory and Optimization, Tributes to M.J.D. Powell . M. D. Buhmann and A. Iserles, Editors. Cambridge, U.K. : Cambridge University Press; 1997. pp. 109-132.
2000
Papadogiannis) (withC. Energy pricing in a deregulated market (Tιμολόγηση ηλεκτρικής ενέργειας σε απελευθερωμένη αγορά. In: Proceedings of the 13th Hellenic Conference on Statistics, Florina, Greek Statistical Institute. ; 2000. pp. 427-434.
Demetriou IC. The Karush-Kuhn-Tucker conditions in designing nonlinear programming algorithms (Πόσο μακριά φθάνουν οι συνθήκες Karush-Kuhn-Tucker στη σχεδίαση αλγορίθμων μη γραμμικού προγραμματισμού). In: Proceedings of the 13th Hellenic Conference on Statistics, Florina, Greek Statistical Institute. ; 2000. pp. 137-144.
2001
Demetriou IC. Calculating the production and distribution cost curve by using third divided differences and least squares approximation. In: The International Soc. of Logistics, Proceedings of the 17th International Logistics Congress. ; 2001. pp. 19-28.
Demetriou IC. Computational experience with a Fortran package for least squares convex-concave data smoothing. In: Proceedings of the 5th Conference on Informatics and Mathematics, HERCMA 2001, Athens, Greece. EA Lipitakis, Editor. ; 2001. pp. 487-493.
Demetriou IC. The methodology of the IMSL / LCONF subroutine for nonlinear programming in some difficult problems (Η μεθοδολογία της ρουτίνας IMSL / LCONF για γραμμικά περιορισμένη βελτιστοποίηση σε κάποια δύσκολα προβλήματα). In: Proceedings of the 14th Hellenic Conference on Statistics, Skiathos, Greek Statistical Institute. ; 2001. pp. 127-134.
Demetriou IC, Lipitakis EA. Certain positive definite submatrices that arise from binomial coefficient matrices. Applied Numerical Mathematics. 2001;36:219-229.
Demetriou IC, Lipitakis EA. Measuring the smoothing performance of least squares approximation by non-negative divided differences. HERMIS - $\mu\pi$ Intl. Journal. 2001;Vol. 2:115-131.
2003
Demetriou IC. Robust piecewise monotonic approximation by software package L1PMA (L1PMA: Ένα πακέτο λογισμικού FORTRAN 77 για την κατά τμήματα μονότονη ανθεκτική προσέγγιση). In: Proceedings of the 16th Hellenic Conference on Statistics, Kavala, Greek Statistical Institute. ; 2003. pp. 129-136.
Demetriou IC. L1PMA: A Fortran 77 package for best L1 piecewise monotonic data smoothing. Computer Physics Communications (CPC). 2003;Vol. 151:315-338.
Demetriou IC. Least Squares Data Fitting Subject to Decreasing Marginal Returns. In: IAENG Transactions on Engineering Technologies, Special Volume of the World Congress on Engineering 2012. Vol. 229. Gi-Chul Yang, Sio-long Ao, Len Gelman, Editors. Springer 2013 (Lecture Notes in Electrical Engineering 229); 2003. pp. 105-120.
Demetriou IC, Lipitakis EA. Modifications of matrix QR factorizations in least squares data fitting by nonnegative divided differences. HERMIS-$\mu\pi$ Intl. Journal. 2003;Vol. 4:183-197.
2004
Demetriou IC. The univariate best L1 regression with one sign change in the second differences (Η μονομεταβλητή L1 άριστη παλινδρόμηση με μια αλλαγή προσήμου στις δεύτερες διαφορές). In: Proceedings of the 17th Hellenic Conference on Statistics, Lefkada, Greek Statistical Institute . ; 2004. pp. 135-142.
Demetriou IC. A theorem for piecewise convex - concave data approximation. Journal of Computational and Applied Mathematics . 2004;Vol. 164-165:245-254.
Demetriou IC. Least squares convex-concave data smoothing. Computational Optimization and Applications. 2004;29:197-217.
Demetriou IC. A theorem for piecewise convex–concave data approximation. Journal of Computational and Applied Mathematics. 2004;164-165:245–254.
2005
Demetriou IC, Papakonstantinou SS. Conditions for the discrete best L1 piecewise linear regression (Συνθήκες για τη Διακριτή Άριστη L1 κατά Τμήματα Γραμμική Παλινδρόμηση). In: Proceedings of the 18th Hellenic Conference on Statistics, Rhodos, Greek Statistical Institute. ; 2005. pp. 8 pp.
Demetriou IC, Papakonstantinou SS. On a Descent Algorithm for the Discrete Best L1 Linear Spline Approximation Problem. In: Proceedings of the 7th Hellenic - European Conference on Computer Mathematics and its Applications, HERCMA 2005. ; 2005. pp. 7.
Demetriou IC, Lipitakis EA, Vassiliou EE. Examples on an Algorithm for Least Squares Data Fitting By Nonnegative Differences. In: Proceedings of the 7th Hellenic - European Conference on Computer Mathematics and its Applications HERCMA 2005. ; 2005. pp. 13.
Vassiliou EE, Demetriou IC. An adaptive algorithm for least squares piecewise monotonic data fitting. Computational Statistics and Data Analysis, 2nd Special Issue on Computational Econometrics. 2005;Vol. 49:591-609.
2006
Demetriou IC, Georgiadou SA. The Karush-Kuhn-Tucker statistics for testing data convexity and an application to infant mortality against GDP (Το Στατιστικό Karush-Kuhn-Tucker για τον Έλεγχο Κυρτότητας Δεδομένων και μια Εφαρμογή στην Παιδική Θνησιμότητα ως προς ΑΕΠ). In: Proceedings of the 19th Hellenic Conference on Statistics, Greek Statistical Institute. Vol. 2006. ; 2006. pp. 155-163.
Vassiliou EE, Demetriou IC. A test of significance of successive m-convex regressions (Έλεγχος Σημαντικότητας Διαδοχικών m-Κυρτών Παλινδρομήσεων). In: Proceedings of the 19th Hellenic Conference on Statistics, Greek Statistical Institute. ; 2006. pp. 135-146.
Demetriou IC, Papakonstantinou SS. Discrete L1 Linear Spline Approximation (Contribution to the memory of Professor D.J. Evans). Journal of Neural Parallel and Scientific Computations (NPSC). 2006;14:157-178.
Demetriou IC, Lipitakis EA, Vassiliou EE. Efficient use of Toeplitz matrices for least squares data fitting by nonnegative differences. HERMIS-$\mu\pi$ Intl. Journal. 2006;Vol. 6:135-153.
Demetriou IC. L2CXCV: A FORTRAN 77 package for least squares convex / concave data smoothing. Computer Physics Communications (CPC). 2006;Vol. 174:643-668.
2007
Demetriou IC, Georgiadou SA. The Karush-Kuhn-Tucker Test of Convexity of Univariate Observations and Certain Economic Applications. In: Proceedings of the World Congress on Engineering 2007, Imperial College, London, U.K., 2-4 July. Vol. Vo. II. ; 2007. pp. 967-973.
Demetriou IC. Algorithm 863: L2WPMA: A Fortran 77 subroutine for weighted least squares piecewise monotonic data fitting. ACM Transactions on Mathematical Software. 2007;Vol. 33(1):1-19.
2008
Vassiliou EE, Demetriou IC. A Distributed Lag Estimator with Piecewise Monotonic Coefficients (Best Paper Award of The 2008 International Conference of Computational Statistics and Data Engineering). In: Proceedings of the World Congress on Engineering 2008, Imperial College, London, U.K., 2-4 July. Vol. Vol. II. ; 2008. pp. 1088-1095.
Demetriou IC, Georgiadou SA. A Computational Method for the Karush-Kuhn-Tucker Test of Convexity of Univariate Observations and Certain Economic Applications (Best Student Paper Award of The 2007 International Conference of Computational Statistics and Data Engineering). IAENG International Journal of Applied Mathematics. 2008;Vol. 38(1):44-53.
Demetriou IC. Methods for Least Squares Data Smoothing by Adjustment of Divided Differences. In: Current Themes in Engineering Science 2007, Selected Presentations at the World Congress on Engineering, London, England, 2-4 July 2007. Vol. Vol. 1045. AM Korsunsky, Editor. American Institute of Physics, AIP Conference Proceedings; 2008. pp. 123-132.
Papakonstantinou SS, Demetriou IC. Necessary and Sufficient Conditions for Best L1 Estimates of Ordinates of Convex Functions. IAENG International Journal of Applied Mathematics. 2008;Vol. 38(1):30-33.
2009
Vassiliou EE, Demetriou IC. An Algorithm for Distributed Lag Estimation Subject to Piecewise Monotonic Coefficients. IAENG International Journal of Applied Mathematics. 2009;Vol. 39(1):82-91.
2010
Demetriou IC, Lipitakis EA, Vassiliou EE. An example of a reduced gradient implementation of least squares data smoothing by divided differences. HERMIS-$\mu\pi$ Intl. Journal. 2010:9.
Demetriou IC. A linearly distributed lag estimator with $r$-convex coefficients. Computational Statistics and Data Analysis. 2010;Vol. 54:2836-2849.
2012
Demetriou IC. Applications of the Discrete Least Squares 3-Convex Fit to Sigmoid Data (Certificate of Merit of The 2012 International Conference of Computational Statistics and Data Engineering). In: Proceedings of the World Congress on Engineering 2012 (WCE 2012, July 4--6, 2012, London, U.K.). Vol. Vol. I. SI Ao, L Gelman, DWL Hukins, A. Hunter, AM Korsunsky. ; 2012. pp. 285-290.
2013
Demetriou IC, Koutoulidis V. On Signal Restoration by Piecewise Monotonic Data Approximation (Paper Award of The 2013 International Conference of Computational Statistics and Data Engineering). In: Proceedings of the World Congress on Engineering 2013. Vol. Vol. I. S.I. Ao, L. Gelman, D.W.L. Hukins, A. Hunter, A.M. Korsunsky, Editors. ; 2013. pp. 268-273.
Demetriou IC. An Application of Best L1 Piecewise Monotonic Data Approximation to Signal Restoration. IAENG International Journal of Applied Mathematics. 2013;Vol. 43(4):226-232.
Georgopoulos D, Demetriou IC. The Dependency of the Greek Software Industry on the Public Investment Program of Greece. Revue des Sciences Economiques et de Gestion. 2013;Vol. 13:1-38.
2014
Demetriou IC, Papakonstantinou SS. Data engineering by the best L1 convex data fitting method. In: Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2014. S.I. Ao, L. Gelman, D.W.L. Hukins, A. Hunter, A.M. Korsunsky, Editors. World Scientific, New Jersey; 2014. pp. 233-246.
Demetriou IC, Vassiliou EE. On distributed-lag modelling algorithms by $r$-convexity and piecewise monotonicity. On the occasion of the 60th birthday of Panayote Pardalos. In: Optimization in Science and Engineering. Th. M. Rassias, C. A. Floudas and S. Butenko, Editors. Springer-Verlag; 2014. pp. 115-140.
2015
Demetriou IC. An Example of Peak Finding in Univariate Data by Least Squares Approximation and Restrictions on the Signs of the First Differences (Certificate of Merit of The 2015 International Conference of Computational Statistics and Data Engineering). In: Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2015. Vol. Vol. I. S. I. Ao, L. Gelman, D.W.L. Hukins, A. Hunter, A.M. Korsunsky, Editors. ; 2015. pp. 670-675.
Demetriou IC. On the Sensitivity of Least Squares Data Fitting by Nonnegative Second Divided Differences. In: Optimization, Control and Applications in the Information Age. Vol. 130. Springer International Publishing, Switzerland. A. Migdalas, A. Karakitsou, Editors. Springer International Publishing, Switzerland; 2015. pp. 91-112.
2016
Demetriou IC. A Characterization Theorem for the Best L1 Piecewise Monotonic Data Approximation Problem. In: Contributions in Mathematics and Engineering. In Honor of Constantin Carath\'{e}odory. Panos M. Pardalos, Themistocles M. Rassias, Editors. Forward by R. Tyrrell Rockafellar. Springer International Publishing, Switzerland; 2016.
2017
Demetriou IC, Tzitziris P. Infant Mortality and Economic Growth: Modeling by Increasing Returns and Least Squares. In: Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2017. Vol. Vol. II. S. I. Ao, L. Gelman, D.W.L. Hukins, A. Hunter, A.M. Korsunsky, Editors. WCE 2017, July 5-7, 2017, London, U.K. ; 2017. pp. 543-548.
2018
Demetriou IC. Peak estimation of a spectrum from noisy measurements by least squares piecewise monotonic data approximation (Best Paper Award of the 20218 InternationalConference on Bioinformatics). In: Lecture Notes in Engineering and Computer Science: Proceedings of The International Multiconference of Engineers and Computer Scientists 2018. S.I. Ao, O. Castillo, C. Douglas, D.D. Feng, A.M. Korsunsky, Editors. 14-16 March, 2018, Hong Kong. ; 2018. pp. 51-56.
Kandylas IP, Demetriou IC. Smoothing Yield Curve Data by Least Squares and Concavity or Convexity (Best Paper Award of The 2018 International Conference of Computational Statistics and Data Engineering). In: Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2018. S. I. Ao, L. Gelman, D.W.L. Hukins, A. Hunter, A.M. Korsunsky, Editors. 4-6 July, 2018, London, U.K. ; 2018. pp. 126-131.
Demetriou IC. An Example of Nondecomposition in Data Fitting by Piecewise Monotonic Divided Differences of Order Higher than Two. In: Open Problems in Optimization and Data Analysis. Vol. 141. P.M. Pardalos, A. Migdalas, Editors. Springer Optimization and Its Applications 141, Springer Nature Switzerland AG; 2018. pp. 319-330.
2019
Approximation and Optimization: Algorithms, Complexity and Applications
Approximation and Optimization: Algorithms, Complexity and Applications. IC Demetriou, PM Pardalos (Editors). Collection of papers, Proceedings of the homonymous conference, June 29-30, 2017, Athens, Greece: Springer Optimization and Its Applications 145, Springer Nature Switzerland AG (Book Review by: Oleg Burdakov, SN Operations Research Forum, 2020, Vol. 1(1), pp. 1-6. https://doi.org/10.1007/s43069-020-0006-9). https://doi.org/10.1007/978-3-030-12767-1; 2019 pp. 247. Publisher's Version
Demetriou IC, Pardalos PM. Chapter 1 Introduction to Approximation and Optimization: Algorithms, Complexity and Applications. In: Approximation and Optimization: Algorithms, Complexity and Applications. IC Demetriou, PM Pardalos (Editors). Springer Optimization and Its Applications 145, Springer Nature Switzerland AG; 2019. pp. 1-4.
Demetriou IC, Tzitziris P. Infant Mortality and Income per Capita of World Countries for 1998-2016: Classification and Modeling by Increasing Returns. In: Transactions on Engineering Technologies, 25th World Conference on Engineering (WCE 2017). Sio-long Ao, Len Gelman, Haeng Kon Kim, Editors. Springer; 2019. pp. 71-93.
2020
Demetriou IC, Perdikas IN. The effectiveness of the piecewise monotonic approximation method for the peak estimation of noisy univariate spectra. In: Proceedings of 2019 3rd International Conference on Control, Artificial Intelligence and Optimization', December 8-10, 2019, Athens. ; 2020. pp. 69-77.
Demetriou IC, Perdikas IN. Peak estimation of univariate spectra by the best $L_1$ piecewise monotonic approximation method. WSEAS Transactions on Systems and Control. 2020;15:477-489.
Demetriou IC. Separation theorems for the extrema of best piecewise monotonic approximations to successive data. Optimization Methods and Software. 2020;Vol. 35(3):439-459.
2021
Vassiliou EE, Demetriou IC. On a test for trends in piecewise monotonic data approximation method (Best Paper Award of The 2021 International Conference of Computational Statistics and Data Engineering). In: Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2021, 7-9 July, 2021, London, U.K. S. I. Ao, L. Gelman, D.W.L. Hukins, A.M. Korsunsky, Editors. ; 2021. pp. 91-96.
Demetriou IC. A $\mathcal O(n)$ algorithm for the discrete best $L_4$ monotonic approximation problem. Econometrics and Statistics. 2021;Vol. 17:130-144.
2022
Davos DE, Demetriou IC. Convex-Concave fitting to successively updated data and its application to Covid-19 analysis. Journal of Combinatorial Optimization. 2022;44:3233–3262.
Demetriou IC. A binary search algorithm for univariate data approximation and estimation of extrema by piecewise monotonic constraints. Journal of Global Optimization [Internet]. 2022;82:691-726. Publisher's Version
Vassiliou EE, Demetriou IC. Piecewise monotonic data approximation: Spline representation and linear model - Basic Statistics. IAENG International Journal of Applied Mathematics. 2022;Vol. 52(1):238-245.
2023
Piecewise monotonic fitting for Covid-19 data analysis if the United Kingdom during 31-01-2020 to 19-11-2021
Vassiliou EE, Perdikas IN, Davos DE, Demetriou IC. Piecewise monotonic fitting for Covid-19 data analysis if the United Kingdom during 31-01-2020 to 19-11-2021. In: Transactions on Engineering Technologies, Proceedings of World Congress on Engineering 2021. Lecture Notes in Engineering 919, Springer Nature; 2023. pp. 1-16. Publisher's Version