Tzekis Panagiotis

Mathematician

2310791615

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He was born In Sweeden at July 28, 1970. He is married and has two children. He studied Mathematics in the Aristotle University of Salonica. He received his PhD from the Department of Mathematics of Aristotle University of Salonica. The title of doctoral thesis is "Implementation of computer algorithms for analysis and synthesis of linear multivariate systems in Control". From 1994 up to 2003 he worked as programmer in various companies. Today he is working in T.E.I.TH, faculty of sciences, teaching mathematics in Department of Electronics.

1996 - 2001 : Phd dissertation, Aristotle University of Thessaloniki

1989 - 1993 : Bachelor degree in Mathematics, Aristotle University of Thessaloniki

At academic year 1992-93 I received scholarship from the Institution of Government owned Scholarships (IKY) for my record in the courses of fourth year of department of Mathematics

I participated at the duration of development of my doctoral thesis, in inquiring program on the development of software on the control with the attendance of company Singular. The title of inquiring work is: “Software Development and experienced system for analysis and synthesis of multivariable systems in Control.” The result of work is the program RatriX, which resolves mathematical problems in the Control. It was created in the language Visual C++ and uses the core of the language of symbolic mathematics Maple. (3 years)

Mathematical algorithms

Control systems

Software development.

I participate in the development of a library for Descriptor Control Systems for the language of symbolic mathematics “Mathematica” as collaborator of Wolfram Research Inc. (18 months)

1. P. Tzekis. N.P.Karampetakis and A.I.Vardulakis, 1999, On the division of polynomial matrices, IMA Journal of Control and its Information, Vol. 16, Issue 4, pp. 391 – 401.

2. N.P.Karampetakis and P.Tzekis, 2001, On the computation of the inverse of a polynomial matrix, IMA Journal of Control and its Information, Vol. 18, pp. 83 – 97.

3. N.P.Karampetakis and P.Tzekis, 2005, On the computation of the minimal polynomial of a polynomial matrix, International Journal of Applied Mathematics and Computer Science, Vol. 15, No. 3.

4. H. K. Terzidis and P. Tzekis, 2006, Fourier transform of the sequences of the primitive roots of the prime numbers, Academic Open Internet Journal, Vol.18, part 3, p2.

5. H. K. Terzidis and P. Tzekis, 2006, Spectra analysis of the matrix DD', D the Dirichlet matrix, International Journal of Pure and Applied Mathematics, Vol.32, No 2, pp. 201 - 210.

6. P. Tzekis and H. K. Terzidis, 2006, On the computation of the family of the polynomial minimal polynomials of a 2-d polynomial matrix, International Journal of Applied Mathematics, Vol.19, No 3, pp. 333 - 349.

7. P. Tzekis, 2007, A new algorithm for the solution of α polynomial matrix Diophantine equations, Applied Mathematics and Computation, 193 (2007) pp. 395–407.

8. P. Tzekis, N. P. Karampetakis and H. K. Terzidis, 2007, On the computation of the GCD of 2-d polynomials, International Journal of Applied Mathematics and Computer Science, Vol. 17, No 4.

9. Papastergiou, A., Tzekis, P., Hatzigaidas, A., Tryfon, G., Ioannidis, D., Zaharis, Z., Kampitaki, D. and Lazaridis, P. (2008) 'A web-based melanoma image diagnosis support system using topic map and AJAX technologies', Informatics for Health and Social Care, 33:2, 99 - 112.

10. P. Tzekis, A. Papastergiou, A. Hatzigaidas, Z. Zaharis, D. Kampitaki, P. Lazaridis, M. Goula, 2009, A simple algorithm for automated skin lesion border detection, WSEAS Transactions on Signal Processing, Volume 5, Issue 6, pp. 229-240.

1. Tzekis P., Karampetakis N.P. and Vardulakis A.I., 1996, Solutions of Diophantine equations over rings via MAPLE, Proceedings of the 4rth IEEE Mediterranean Symposium on New Directions in Control and Automation, June 10-14, 1996, Chania, Crete.

2. Tzekis P., Karampetakis N. P., and Vardulakis A.I., 1996, On the division of polynomial matrices., Proceedings of the 4rth IEEE Mediterranean Symposium on New Directions in Control and Automation, pp.125-129, June 10-14, 1996, Chania, Crete.

3. J. Jones, P. Tzekis and N. P. Karampetakis, 1997, The use of MAPLE in linear systems analysis and synthesis., Proceedings of the 4rth European Control Conference, 1-4 July, 1997, Brussels, Belgium.

4. N. P. Karampetakis and P. Tzekis, 1998, Notes on the computation of the inverse of a polynomial matrix, 6th IEEE Mediterranean Conference on Control & Automation, Alghero, Sardinia, Italy, June 9-11, 1998.

5. Karampetakis N.P. and Tzekis P., 1999, Symbolic manipulation of rational matrices and applications, CACSD’99.

6. P. Tzekis, N.P. Karampetakis and A.I.G. Vardulakis , 2001, RATRIX : A RATional matRIX calculator for computer aided analysis and synthesis of linear multivariable control systems, KTISIVIOS, National Conference on Automation, Robotics and Industrial Production, Santorini, June 28-30, 2001

7. A.I. Vardulakis, N.P. Karampetakis, E. Antoniou, P. Tzekis and S. Vologiannidis, 2003, A descriptor package for Mathematica, 11th Mediterranean Conference on Control and Automation, 18-20 June 2003, Rhodes, Greece

8. P. Tzekis and N. P. Karampetakis, 2005, On the computation of the minimal polynomial of a two-variable polynomial matrix, 4rth International Workshop on Multidimensional (nD) Systems NDS 2005, July 10-13, 2005, University of Wuppertal, Wuppertal, Germany.

9. P. Tzekis, N. P. Karampetakis and H. K. Terzidis, On the computation of the GCD (LCM) of 2-d polynomials, European Control Conference, July 2007.

10. P. Tzekis, A. Papastergiou, A. Hatzigaidas, A. Cheva, 2007, A sophisticated edge detection method for muscle biopsy image analysis, 7th WSEAS International Conference on SIGNAL, SPEECH AND IMAGE PROCESSING (SSIP '07), Beijing, China, September 15-17, 2007.

11. A. Hatzigaidas, A. Papastergiou, P. Tzekis, 2009, A novel algorithm for the detection of melanoma border, Proceedings of the 10th WSEAS international conference on Automation & information, Prague, Pages: 322-329.

I Created the company of software development “ΧΘΩΝ” (“CHTHON”) in February 1995, for which I worked up to 2001 where I was also classified in the army for the achievement of my military obligations. At the duration of my work there, we manufactured titles of multimedia databases, as well as libraries for internet (COMs). Except more, were developed libraries for internet closure of tickets, web pages and advertising CDs, as other applications of databases. From 1 August 2001 until 29 August 2003 I worked as programmer in the department of research and development in the company Cybernetics (subsidiary company of TELEMACH INFO), which deals with the Document Management. I participated in the development of the application CHRONUS that is related with the life - circle of the documents (workflow).

Mathematics, Mathematical algorithms