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I. C. Demetriou’s publications

  1. Generalized Preconditioned Strategies, M.Phil. Thesis, University of Technology 1980, Loughborough, UK, 145 pp. 

  2. (With D.J. Evans) The preconditioning by direct factorization method for solving self-adjoint partial differential equations. In: Preconditioning. Analysis and Applications, Volume 1 (D.J. Evans, ed.), Gordon and Breach Sci. Pub., 1983, pp 356-378.

  3. Piecewise monotonic methods for data smoothing. Research monograph, Pembroke College, Cambridge University 1983, UK, 70 pp, awarded with "J.T. Knight Prize of Mathematics 1983, Cambridge University".

  4. (With D.J. Evans) The preconditioned variational methods for solving large linear systems. Mathematics and Computers in Simulation, 27 (1985), pp 365-372. Also: Adaptive preconditioned variational methods for solving self-adjoint partial differential equations. International J. Computer Math., 2003, vol. 80 (5), pp 615-627 (Taylor & Francis Group).  

  5. Data smoothing by piecewise monotonic divided differences. Ph.D. Dissertation 1985, Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge, UK, 281 pp.

  6. (With D.J. Evans) The preconditioned conjugate gradient method for solving elliptic difference equations. In: Numerical Approximation of Partial Differential Equations (E.L. Ortiz, ed.), Elsevier Sci. Pub. North-Holland, 1987, pp 205-217.

  7. A characterization theorem for the discrete best monotonic approximation problem. Mathematics of Computation, 55 (1990), pp 191-195. 

  8. (With M.J.D. Powell) Least squares smoothing of univariate data to achieve piecewise monotonicity. Institute of Mathematics and its Applications Journal of Numerical Analysis (IMA J. Numer. Anal.), 11 (1991), pp 411-432.

  9. (With M.J.D. Powell) The minimum sum of squares change to univariate data that gives convexity. Institute of Mathematics and its Applications Journal of Numerical Analysis (IMA J. Numer. Anal.), 11 (1991), pp 433-448.

  10. A dual algorithm with multiple constraint additions for strictly convex quadratic programming. In: HERMIS 92, Proceedings of the 1st Conference οn Informatics and Mathematics (E.A. Lipitakis, ed.), Athens, Greece, September 1992, Hellenic Mathematical Society Pub., pp 55-62. Also in: Advances on Computer Mathematics and its Applications (E.A. Lipitakis, ed.), World Scientific, 1993, pp 22-29.

  11. (With E.A. Lipitakis) On a stable Quadratic Programming Algorithm for l2 data approximation by non-negative divided differences. In: HERMIS 92, Proceedings of the 1st Conference on Informatics and Mathematics (E.A. Lipitakis, ed.), Athens, Greece, September 1992, Hellenic Mathematical Society Pub., pp 45-53. Also in: Advances on Computer Mathematics and its Applications (E.A. Lipitakis, ed.), World Scientific, 1993, pp 340-348.

  12. Optimization: Algorithms and Software Libraries. Mathematical Review, Hellenic Mathema-tical Society (Βελτιστοποίηση: Αλγόριθμοι και Βιβλιοθήκες Λογισμικού. Mαθηματική Επιθεώρηση, Ελληνική Μαθηματική Εταιρεία, Ειδική Έκδοση: Μαθηματικά Υπολογιστών), 38 (1993), pp 14-29.

  13. Nonparametric regression by nonnegative divided differences (Μη παραμετρική παλινδρόμηση διά μη αρνητικών διηρημένων διαφορών). In: Proceedings of the 6th Hellenic Conference on Statistics, Thessaloniki, Greek Statistical Institute, June 1993, pp 32-39.

  14. Best L1 Piecewise Monotonic Data Modelling (Awarded by Greek Operational Research Society as the "National Contribution of Greece to IFORS 93-International Federation of OR Societies)  International Transactions in Operational Research, Vol.1, No.1, January 1994, pp 85-94.

  15. A characterization theorem of the best piecewise monotonic data approximation by a strictly convex metric (Ένα θεώρημα χαρακτηρισμού της άριστης κατά τμήματα μονότονης προσέγγισης δεδομένων με αυστηρά κυρτή μετρική). Proceedings of the 7th Hellenic Conference on Statistics, Nicosia, Cyprus, Greek Statistical Institute, June 1994, pp 31-38. 

  16. An overview of theory for piecewise monotonic approximation. In: HERMIS 94, Volume 2, In: Proceedings of the 2nd Conference on Informatics and Mathematics (E.A. Lipitakis, ed.), Athens, Greece, September 1994, Hellenic Mathematical Society Pub., pp 667-682.

  17. (With E.A. Lipitakis) Reliable software vs ill-conditioning for least squares data smoothing by non-negative divided differences. In: HERMIS 94, Volume 2, Proceedings of the 2nd Conference on Informatics and Mathematics (E.A. Lipitakis, ed.), Athens, Greece, September 1994, Hellenic Mathematical Society Pub., pp 633-644.

  18. An efficient dual strategy for strictly convex quadratic programming. Mathematical Modelling and Scientific Computing, 4 (1994), pp 513-518.

  19. (With E.A. Lipitakis) Data modelling by least squares and non-negative divided differences. Mathematical Modelling and Scientific Computing, 4 (1994), pp 557-562.

  20. Discrete piecewise monotonic approximation by a strictly convex distance function. Mathematics of Computation, Vol. 64, January 1995, pp 157-180.

  21. Algorithm 742: L2CXFT, a Fortran subroutine for least squares data fitting with non-negative second divided differences. ACM Transactions on Mathematical Software (ACM TOMS), Vol.21, No.1, March 1995, pp 98-110. It is accompanied by Fortran codes, documentation and User Guide.

  22. Mutual separation of the extrema of best piecewise monotonic approximation (Αμοιβαίος διαχωρισμός ακροτάτων αρίστων κατά τμήματα μονότονων προσεγγίσεων). In: Proceedings of the 8th Hellenic Conference on Statistics, Delfi, Greek Statistical Institute, June 1995, pp 32-41.

  23. A dual algorithm for strictly convex quadratic programming with multiple search directions (Ένας δυϊκός αλγόριθμος για αυστηρά κυρτό τετραγωνικό προγραμματισμό με πολυκατευθυντικά βήματα). In: Proceedings of the 9th Hellenic Conference on Statistics, Xanthi, Greek Statistical Institute, April 1996, pp 71-78.

  24. (With E.A. Lipitakis) Case study: Least squares data smoothing by non-negative divided differences. In: HERMIS 96, Proceedings of the 3rd Conference on Informatics and Mathematics (E.A. Lipitakis, ed.), Athens, Greece, September 1996, pp 604-620.

  25. CXFTV2: A Fortran subroutine for the discrete least squares convex approximation. Computer Physics Communications (CPC), 100 (1997), pp 297-310. It is accompanied by Fortran codes, documentation and User Guide.

  26. (With M.J.D. Powell) 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 (A. Iserles and M.D. Buhmann, eds.), Cambridge University Press 1997, pp 109-132.

  27. Experience with the best piecewise monotonic approximations to discrete data (Εμπειρία με τις κατά τμήματα μονότονες προσεγγίσεις διακριτών δεδομένων). In: Proceedings of the 10th Hellenic Conference on Statistics, Piraeus, Greek Statistical Institute, June 1997, pp 109-123.

  28. Best characterization of the least squares convex-concave approximation to discrete data (Άριστος χαρακτηρισμός της κυρτής-κοίλης προσέγγισης ελαχίστων τετραγώνων σε διακριτά δεδομένα). In: Proceedings of the 11th Hellenic Conference on Statistics, Chania, Greek Statistical Institute, May 1998, pp 55-65.

  29. (With E.A. Lipitakis) Measuring the smoothing performance of least squares approximation by non-negative divided differences. HERMIS – μπ Intl. Journal, Vol. 2, 2001, pp 115-131. Also in: Proceedings of the 4th Conference on Informatics and Mathematics (E.A. Lipitakis, ed.), HERCMA 98, Athens, Greece, September 1998, pp 662-678. LEA Pub. Athens 1999. 

  30. An efficient algorithm for the calculation of the least squares convex-concave approximation to discrete data (Ένας αποτελεσματικός αλγόριθμος για τον υπολογισμό της κυρτής-κοίλης προσέγγισης ελαχίστων τετραγώνων σε διακριτά δεδομένα). In: Proceedings of the 12th Hellenic Conference on Statistics, Spetses, Greek Statistical Institute 1999, pp 127-136.

  31. 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.

  32. (With C. Papadogiannis) 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.

  33. (With E.A. Lipitakis) Certain positive definite submatrices that arise from binomial coefficient matrices. Applied Numerical Mathematics, 36 (2001), pp 219-229.

  34. Calculating the production and distribution cost curve by using third divided differences and least squares approximation. The International Soc. of Logistics, Proceedings of the 17th International Logistics Congress, 2001, pp 19-28. 

  35. 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). Proceedings of the 14th Hellenic Conference on Statistics, Skiathos, Greek Statistical Institute 2001, pp 127-134.

  36. Computational experience with a Fortran package for least squares convex-concave data smoothing. In: Proceedings of the 5th Conference on Informatics and Mathematics (E.A. Lipitakis, ed.), HERCMA 2001, Athens, Greece, pp 487-493.

  37. Signs of divided differences yield least squares data fitting with constrained monotonicity or convexity. Journal of Computational and Applied Mathematics, 146 (2002), pp 179-211.

  38. (With E. Vassiliou) A trend test for automating the calculation of the best piecewise monotonic approximation (Ένας έλεγχος τάσεων για τον αυτοματισμό του υπολογισμού της άριστης τμηματικά μονότονης προσέγγισης δεδομένων σε διακριτά δεδομένα). In: Proceedings of the 15th Hellenic Conference on Statistics, Ioannina, Greek Statistical Institute 2002, pp 134-142.

  39. The effect of the divided differences structure in the L2 discrete m-convex approximation (Η επίδραση της δομής των διηρημένων διαφορών στην L2 διακριτή m-κυρτή προσέγγιση). In: Proceedings of the 15th Hellenic Conference on Statistics, Ioannina, Greek Statistical Institute 2002, pp 198-206. 

  40. L1PMA: A Fortran 77 package for best L1 piecewise monotonic data smoothing. Computer Physics Communications (CPC), 151 (2003), pp 315-338. It is accompanied by Fortran codes, documentation and User Guide.

  41. 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.

  42. (With E. A. Lipitakis) Modifications of matrix QR factorizations in least squares data fitting by nonnegative divided differences. HERMIS– μπ Intl. Journal, Vol. 4, 2003, pp. 183-197.

  43. A theorem for piecewise convex – concave data approximation. Journal of Computational and Applied Mathematics, 164-165 (2004), pp 245-254.

  44. Least squares convex-concave data smoothing. Computational Optimization and Applications, 29 (2004), pp 197-217.  

  45. 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.

  46. (With E.Ε. Vassiliou) An adaptive algorithm for least squares piecewise monotonic data fitting. Computational Statistics and Data Analysis, 2nd Special Issue on Computational Econometrics, Vol. 49, Issue 2, April 2005, pp 591-609.

  47. (With S. S. Papakonstantinou) 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, 8 pp. 

  48. (With S.S. Papakonstantinou) 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’, 7 pp.

  49. (With E. A. Lipitakis and Ε. Ε. Vassiliou) 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’, 13 pp.

  50. L2CXCV: A FORTRAN 77 package for least squares convex / concave data smoothing.  Computer Physics Communications, 174 (2006), pp 643-668. It is accompanied by Fortran codes, documentation and User Guide (1.3 MB).

  51. (With E. A. Lipitakis and Ε. Ε. Vassiliou) Efficient use of Toeplitz matrices for least squares data fitting by nonnegative differences. HERMIS-μπ Intl. Journal, Vol. 6, 2006, pp 135-153.

  52. (With S. S. Papakonstantinou) Discrete ℓ1 Linear Spline Approximation. Journal of Neural Parallel and Scientific Computations (NPSC), 14 (2006), pp 157-168, Dynamic Publishers, Atlanta, USA. Contribution to the memory of Professor D.J. Evans.

  53. (With E. E. Vassiliou) 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.

  54. (With Sofia A. Georgiadou) 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 2006, pp 155-163.

  55. Algorithm 863: L2WPMA: A Fortran 77 subroutine for weighted least squares piecewise monotonic data fitting. ACM Transactions on Mathematical Software, Vol. 33, No 1, pp 1-19, March 2007. It is accompanied by Fortran codes, documentation and User Guide.

  56. (With S. A. Georgiadou)  The Karush-Kuhn-Tucker Test of Convexity of Univariate Observa-tions and Certain Economic Applications. In: Proceedings of the World Congress on Engineering 2007, Imperial College, London, U.K., 2-4 July, Vol. II, pp 967-973. 

  57. (With S. A. Georgiadou)  A Computational Method for the Karush-Kuhn-Tucker Test of Convexity of Univariate Observations and Certain Economic Applications, IAENG International Journal of Applied Mathematics, 2008, 38, 1, pp 44-53. Best Student Paper Award of The 2007 International Conference of Computational Statistics and Data Engineering. 

  58. (With S. S. Papakonstantinou) Necessary and Sufficient Conditions for Best L1 Estimates of Ordinates of Convex Functions. In: Proceedings of the World Congress on Engineering 2007, Imperial College, London, U.K., 2-4 July, Vol. II, pp 922-925. Also in: IAENG International Journal of Applied Mathematics, 2008, 38, 1, pp 30-33 

  59. (With Ε. Ε. Vassiliou) A Distributed Lag Estimator with Piecewise Monotonic Coefficients. In: Proceedings of the World Congress on Engineering 2008, Imperial College, London, U.K., 2-4 July, Vol. II, pp 1088-1095. Best Paper Award of The 2008 International Conference of Computational Statistics and Data Engineering.

  60. Methods for Least Squares Data Smoothing by Adjustment Divided Differences. In: Current Themes in Engineering Science 2007, Selected Presentations at the World Congress on Engineering, London, England, 2-4 July 2007 (ed. A. M. Korsunsky), American Institute of Physics, AIP Conference Proceedings, Volume 1045, pp 123-132, 2008.

  61. (With Ε. Ε. Vassiliou) An Algorithm for Distributed Lag Estimation Subject to Piecewise Monotonic Coefficients. IAENG International Journal of Applied Mathematics, 2009, 39, 1, pp 82-91.

  62. (With E. A. Lipitakis and Ε. Ε. Vassiliou) An example of a reduced gradient implementation of least squares data smoothing by divided differences. HERMIS-μπ Intl. Journal, 2010, 9 pp.

  63. (With Ε. Ε. Vassiliou) A linearly distributed lag estimator with r-convex coefficients. Computational Statistics and Data Analysis, 54, 2010, pp 2836-2849.

  64. Applications of the Discrete Least Squares 3-Convex Fit To Sigmoid Data. In: Proceedings of the World Congress on Engineering 2012, Vol. I, pp 285-290, WCE 2012, July 4 - 6, 2012, London, U.K. Certificate of Merit of The 2012 International Conference of Computational Statistics and Data Engineering.

  65. (With Dionysios Georgopoulos) The Dependency of the Greek Software Industry on the Public Investment Program of Greece. In: Proceedings of conference & workshop “Evaluating the public investment programs and their impacts on investments, employment and economic growth”, March 11-12, 2013, University of Setif 1, Setif, Algeria, 39 pp. Also in: Revue des Sciences Économiques et de Gestion, No13, 2013, pp 1-38.

  66. Least Squares Data Fitting Subject to Decreasing Marginal Returns. In: IAENG Transactions on Engineering Technologies (editors Gi-Chul Yang, Sio-long Ao, Len Gelmen), Special Volume of the World Congress on Engineering 2012, Springer 2013 (Lecture Notes in Electrical Engineering 229), pp 105-120.

  67. (With V. Koutoulidis) On Signal Restoration by Piecewise Monotonic Data Approximation. In: Proceedings of the World Congress on Engineering 2013 (editors S. I. Ao, L. Gelman, D.W.L. Hukins, A. Hanter, A.M. Korsunsky), Vol I, pp. 268-273, WCE 2013, July 3 - 5, 2013, London, U.K. Best Paper Award of The 2013 International Conference of Computational Statistics and Data Engineering.

  68. An Application of Best L1 Piecewise Monotonic Data Approximation to Signal Restoration, IAENG International Journal of Applied Mathematics, Volume 43 Issue 4, pp. 226-232, 2013.

  69. (With E. E. Vassiliou) On distributed-lag modeling algorithms by r-convexity and piecewise monotonicity. On the occasion of the 60th birthday of Panayote Pardalos. In: Optimization in Science and Engineering (editors Th. M. Rassias, C. A. Floudas and S. Butenko), Springer-Verlag, pp. 117-143, 2014.

  70. \bibitem{70}    (With S.S. Papakonstantinou) 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 (editors S.I. Ao, L. Gelman, D.W.L. Hukins, A. Hunter, A.M. Korsunsky), Vol I, pp. 122--127, WCE 2014, July 2--4, 2014, London, U.K. Certificate of Merit of The 2014 International Conference of Computational Statistics and Data Engineering.

  71. \bibitem{71}    Sigmoid Data Fitting by Least Squares Adjustment of Second and Third Divided Differences. In: Network Models in Economics and Finance (editors: Valery A. Kalyagin, Panos M. Pardalos, Themistocles M. Rassias), Springer Optimization and its Applications, Volume 100, Springer International Publishing Switzerland, pp. 107--126, 2014.

  72. \bibitem{72}    (With S.S. Papakonstantinou) Data Analysis by Diminishing Rates of Change and L1 Approximation. In: IAENG Transactions on Engineering Sciences - Special Issue for the International Association of Engineers Conferences 2014 (editors: Sio-long Ao, Alan Hoi-shou Chan, Hideki Katagiri, Li Xu), World Scientific, New Jersey, 2015, pp.  233--246.

  73. \bibitem{73}    An Example of Peak Finding in Univariate Data by Least Squares Approximation and Restrictions on the Signs of the First Differences. In: Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2015 (editors S. I. Ao, L. Gelman, D.W.L. Hukins, A. Hunter, A.M. Korsunsky), WCE 2015, July 1--3, 2015, London, U.K.,  Vol I, pp. 670--675. Certificate of Merit of The 2015 International Conference of Computational Statistics and Data Engineering.

  74. \bibitem{74}    On the Sensitivity of Least Squares Data Fitting by Nonnegative Second Divided Differences. In: Optimization, Control and Applications in the Information Age (editors: A. Migdalas, A. Karakitsou), Springer Proceedings in Mathematics and Statistics 130, Springer International Publishing, Switzerland, 2015, pp. 91--112.

  75. \bibitem{75}    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 (editors: Panos M. Pardalos, Themistocles M. Rassias. Forward by R. Tyrrell Rockafellar), Springer International Publishing, Switzerland, 2016, pp. 117--126.

  76. \bibitem{76} (With P. Tzitziris) 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 (editors S. I. Ao, L. Gelman, D.W.L. Hukins, A. Hunter, A.M. Korsunsky), WCE 2017, July 5--7, 2017, London, U.K.,  Vol II, pp. 543--548. Certificate of Merit of The 2017 International Conference of Computational Statistics and Data Engineering.

  77. \bibitem{77} %\bibitem{Demetriou-iaeng-imecs-2018}
      I.C. Demetriou, Peak estimation of a spectrum from noisy measurements by
     least squares piecewise monotonic data approximation. In: Lecture Notes in Engineering and Computer Science: Proceedings of The International Multiconference of Engineers and Computer Scientists 2018 (editors S.I. Ao, O. Castillo, C. Douglas, D.D. Feng, A.M. Korsunsky), 14--16 March, 2018, Hong Kong, pp. 51--56. Best Paper Award of The 2018 International Conference on Bioinformatics

  78. \bibitem{78} %\bibitem{Demetriou-iaeng-imecs-2018}
     (With I.P. Kandylas) Smoothing Yield Curve Data by Least Squares and Concavity or Convexity. In: Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2018 (editors S. I. Ao, L. Gelman, D.W.L. Hukins, A. Hunter, A.M. Korsunsky), 4-6 July, 2018, London, U.K., pp. {126}--{131}. Best Paper Award of The 2018 International Conference of Computational Statistics and Data Engineering.

  79. \bibitem{79} 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 (editors: P.M. Pardalos, A. Migdalas), Springer Optimization and Its Applications 141, Springer Nature Switzerland AG 2018, pp. 319--330, https:/doi.org/10.1007/978-3-319-99142-9\_17

  80. \bibitem{80}
     (With P. Tzitziris) 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) (editors Sio-long Ao, Len Gelman, Haeng Kon Kim), Springer, 2019, pp. 71--93, DOI 10.1007/978-981-13-0746-1, ISBN 978-981-13-0745-4.

  81. \bibitem{81}
     (Editors I. C. Demetriou and P. M. Pardalos) Approximation and Optimization: Algorithms, Complexity and Applications, Springer Optimization and Its Applications 145, Springer Nature Switzerland AG 2019, ISBN 978-3-030-12767-1 (Collection of papers, Proceedings of the homonymous conference, June 29--30, 2017, Athens, Greece.)     Book Review by: Oleg Burdakov, SN Operations Research Forum (2020), Volume 1: 6, DOI https://doi.org/10.1007/s43069-020-0006-9

  82. \bibitem{82}
     (With P.M. Pardalos) Chapter 1 Introduction to Approximation and Optimization: Algorithms, Complexity and Applications \cite{81}, pp. 1--4, 2019.

  83. \bibitem{83}
        A decomposition theorem for the least squares piecewise monotonic data approximation problem. In `Approximation and Optimization, Algorithms, Complexity and Applications' (editors I.C. Demetriou and P.M. Pardalos), Springer International Publishing, Switzerland, 2019, pp. 119--134, 2019.

  84. \bibitem{84}
    (With I.N. Perdikas) 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, pp. 69--77, 2020. 978-1-7281-3572-4/19/2019 IEEE DOI 10.1109/ICCAIRO47923.2019.00020

  85. \bibitem{85}
    Separation theorems for the extrema of best piecewise monotonic approximations to successive data, Optimization Methods and Software, Vol. 35, Issue 3, 2020, pp. 439--459. Published online: 16 May 2019, 22 pp., DOI: 10.1080/10556788.2019.1613653 (Reviewer: `The topic studied in the paper is very important from the practical point of view'. Associate Editor: `The results presented are interesting and concern a fundamental application in scientific computing.').

  86. \bibitem{86}
    (With I.N. Perdikas) Peak Estimation of Univariate Spectra by the Best L1 Piecewise Monotonic Approximation Method, WSEAS Transactions on Systems and Control, 15, pp. 477--489, 2020, https://doi.org/10.37394/23203.2020.15.48

  87. \bibitem{87}
     A $\mathcal O(n)$ algorithm for the discrete best $L_4$ monotonic approximation problem, Econometrics and Statistics, 15 pp., 2020.
     Online publication: 29-MAY-2020 DOI information: https://doi.org/10.1016/j.ecosta.2020.04.002

  88. \bibitem{88}
     A binary search algorithm for univariate data approximation and estimation of extrema by piecewise monotonic constraints, 38 pp., Journal of Global Optimization, to appear.

  89. % Under development
    \bibitem{89}
    Least squares unimodal regression: A characterization theorem and a $\mathcal O(n)$ algorithm, 2021

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