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List of Publications

Papers in Refereed Journals

  1. G. Kalogeropoulos and M. Mitrouli, On the computation of the Weierstrass canonical form of a regular matrix pencil, Control and Computers, Vol. 20 (1992), No. 3, pp. 61-68.
  2. M. Mitrouli and N. Karcanias, Computation of the G.C.D. of polynomials using Gaussian transformations and shifting, International Journal of Control, Vol. 58 (1993), No. 1, pp. 211 - 228.
  3. G. Kalogeropoulos and M. Mitrouli, On the computation of row and column minimal indices of a singular matrix pencil, J. Instit. Math. Comput. Science, Vol. 7 (1994), No. 1, pp. 59-72.
  4. N. Karcanias and M. Mitrouli, A matrix pencil based numerical method for the computation of the GCD of polynomials, IEEE Transactions on Automatic Control, Vol. 39 (1994), No. 5, pp. 977 - 981.
  5. M. Mitrouli and G. Kalogeropoulos, A compound matrix algorithm for the computation of the Smith form of a polynomial matrix, Numerical Algorithms, Vol. 7 (1994), pp. 145-159.
  6. G. Kalogeropoulos and M. Mitrouli, On the computation of the Weiersrass canonical form of a regular pencil: Part II, Control and Computers, Vol. 22 (1994), No 1, pp.18-22.
  7. M. Mitrouli and C. Koukouvinos, Statistical error bounds for basic floating point operations, J. Instit. Math. Comput. Science, Vol. 8 (1995), No. 2, pp. 71-79.
  8. C. Koukouvinos, M. Mitrouli and J. Seberry, On the Smith normal form of D-optimal designs, Linear Algebra and its Appl., Vol. 247 (1996), pp. 277-295.
  9. M. Mitrouli, N. Karcanias and C. Koukouvinos, Further numerical aspects of the ERES algorithm for the computation of the greatest common divisor of polynomials and comparison with other existing methodologies, Utilitas Mathematica, Vol. 50 (1996), pp. 65-84.
  10. M. Mitrouli, N. Karcanias and C. Koukouvinos, Numerical performance of the matrix pencil algorithm computing the greatest common divisor of polynomials and comparison with other matrix based methodologies, J. Comp. Appl. Math., Vol. 76 (1996), pp. 89-112.
  11. M. Mitrouli, G. Kalogeropoulos and C. Koukouvinos, On the computation of the elementary divisors and the Smith normal form of homogeneous matrix pencils, Utilitas Mathematica, Vol. 49 (1996), pp. 161-172.
  12. C. Koukouvinos, M. Mitrouli, J. Seberry and P. Karabelas, On sufficient conditions for some orthogonal designs and sequences with zero autocorrelation function, Australas. J. Combin., Vol. 13 (1996), pp. 197-216.
  13. M. Mitrouli, N. Karcanias and C. Koukouvinos, Canonical forms of some special matrices useful in Statistics, Korean J. Comp. and Appl. Math., Vol. 4 (1997), pp. 63-82.
  14. G. Kalogeropoulos and M. Mitrouli, Generalised linear discrete-time systems and matrix pencils algebraic duality, J. Instit. Math. Comput. Science, Vol. 10 (1997), No. 2, pp. 81-90.
  15. C. Koukouvinos, M. Mitrouli and J. Seberry, On the Smith normal form of weighing matrices, Bull. Inst. Combin. Appl., Vol. 19 (1997), pp. 57-69.
  16. M. Mitrouli and C. Koukouvinos, The behaviour of probabilistic error bounds in floating point algebraic processes, Korean J. Comp. and Appl. Math., Vol. 4 (1997), No. 1, pp. 211-222.
  17. M. Mitrouli, N. Karcanias and C. Koukouvinos, Numerical aspects for nongeneric computations in control problems and related applications, Congressus Numerantium, Vol. 126 (1997), pp. 5-19.
  18. M. Mitrouli and C. Koukouvinos, On the computation of the Smith normal form of compound matrices, Numerical Algorithms, Vol. 16 (1997), pp.95-105.
  19. M. Mitrouli and G. Kalogeropoulos, A matrix pencil approach computing the elementary divisors of a matrix, Korean J. Comp. and Appl. Math., Vol 5 (1998), No. 3, pp.627-644.
  20. C. Koukouvinos, M. Mitrouli, and J. Seberry, Necessary and sufficient conditions for some two variable orthogonal designs in order 44, J. Combin. Math. Combin. Comput., Vol. 28 (1998), pp.267-287.
  21. C. Koukouvinos, M. Mitrouli, and J. Seberry, Numerical algorithms for the computation of the Smith normal form of integral matrices, Congressus Numerantium, Vol. 133 (1998), pp.127-162.
  22. M. Mitrouli, Numerical linear algebra techniques in control problems, Int. J. Appl. Math., Vol. 1 (1999), No. 1, pp.91-102.
  23. P. Yalamov and M. Mitrouli, A fast algorithm for index of annihilation computations, J. Comp. Appl. Math., Vol. 108 (1999), pp. 99-111.
  24. C. Koukouvinos, M. Mitrouli, and J. Seberry, Growth in Gaussian elimination for weighing matrices, W(n,n-1), Linear Algebra and its Appl., Vol. 30 (2000), pp.189-202.
  25. C. Koukouvinos, M. Mitrouli, and J. Seberry, Bounds on the maximum determinant for (1,-1) matrices, Bull. Inst. Combin. Appl., Vol. 29 (2000), pp. 39-48.
  26. N. Karcanias and M. Mitrouli, Numerical computation of the least common multiple of a set of polynomials, Reliable Computing, Issue 4, Vol. 6 (2000) pp. 439-457.
  27. S. Georgiou, C. Koukouvinos, M. Mitrouli, and J. Seberry, Necessary and sufficient conditions for two variable orthogonal designs in order 44: Addendum, J. Combin. Math. Combin. Comput., Vol. 34 (2000), pp. 59-64.
  28. S. Georgiou, C. Koukouvinos, M. Mitrouli, and J. Seberry, A new algorithm for computer searches for orthogonal designs, J. Combin. Math. Combin. Comput., Vol. 39 (2001), pp. 49-63.
  29. S. Georgiou, C. Koukouvinos, M. Mitrouli, and J. Seberry, Necessary and sufficient conditions for three and four variable orthogonal designs in order 36, J. Statist. Plann. Inference, Vol. 106 (2002), pp. 329-352.
  30. C. Koukouvinos, M. Mitrouli, and J. Seberry, Values of minors of (1,-1) incidence matrices of SBIBDs and their application to the growth problem, Designs, Codes and Cryptography, Vol. 23 (2001), pp. 267-281.
  31. C. Koukouvinos, M. Mitrouli, and J. Seberry, An algorithm to find formulae and values of minors of Hadamard matrices, Linear Algebra and its Appl., Vol. 330 (2001), pp. 129-147.
  32. C. Koukouvinos, M. Mitrouli, and J. Seberry, Values of minors of an infinite family of D-optimal designs and their application to the growth problem, SIAM Jour. Matrix Anal. and its Appl., Vol. 23 (2001), pp. 1-14.
  33. C. Koukouvinos, Ĺ. Lappas, M. Mitrouli, and J. Seberry, On the complete pivoting conjecture for Hadamard matrices of small orders, Journal of Research and Practice in Information Technology, Vol. 33, (2001), pp. 298-302.
  34. C. Koukouvinos, M. Mitrouli, and J. Seberry, An infinite family of Hadamard matrices with fourth last pivot n/2, Linear and Multilinear Algebra, Vol. 50 (2002), 167-173.
  35. M. Mitrouli, Numerical-Symbolical software computing the least common multiple of several polynomials, Int. J. of Comp. Research, Vol. 11, No 2 (2002), pp.221-229.
  36. N. Karcanias and M. Mitrouli, Minimal bases of matrix pencils and coprime matrix fraction descriptions, IMA Journal of Control and Information, Vol. 19 (2002), pp.245-278.
  37. N. Karcanias and M. Mitrouli, Normal factorisation of polynomials and computational issues, Computers and Mathematics with Applications, Vol. 45 (2003), pp. 229-245.
  38. C. Koukouvinos, M. Mitrouli, and J. Seberry, Values of minors of an infinite family of D-optimal designs and their application to the growth problem: II, SIAM Jour. Matrix Anal. and its Appl., Vol. 24 (2003), pp. 715-727.
  39. C. Koukouvinos, E. Lappas, M. Mitrouli, and J. Seberry, An algorithm to find formulae and values of minors of Hadamard matrices: II, Linear Algebra and its Appl., Vol. 371 (2003), 111-124.
  40. J. Seberry, T. Xia, C. Koukouvinos, and M. Mitrouli, The maximal determinant and subdeterminants of ą matrices, Linear Algebra and its Appl., Vol. 373 (2003), 297-310.
  41. M. Mitrouli, D. Triantafyllou and C. Koukouvinos, Average-case stability of the Gaussian elimination for Hadamard matrices, International Journal of Computer Research, Vol. 12, No 4, (2003), 529-537.
  42. C. Koukouvinos, E. Lappas, and M. Mitrouli, On the unique pivot structure for a Hadamard matrix of order 12, International Jour. of Applied Math., Vol. 14, No. 1 (2003), 19-39.
  43. N. Karcanias and M. Mitrouli, System theoretic based characterisation and computation of the least common multiple of a set of polynomials, Linear Algebra and its Appl., Vol. 381 (2004), 1-23.
  44. C. Koukouvinos, E. Lappas, and M. Mitrouli, On the computation of maximum minors of Hadamard matrices, Mathematics and Computers in Simulation, 67 (2004), 33-44.
  45. C. Kravvaritis, M. Mitrouli, and J. Seberry, On the growth problem for skew and symmetric conference matrices,Linear Algebra and its Appl., Vol. 403 (2005), 183-206.
  46. C. Koukouvinos, M. Mitrouli, and J. Seberry, Values of minors of some infinite families of matrices constructed from supplementary difference sets and their application to the growth problem, Linear Algebra and its Appl., Vol. 406 (2005), 218-234.
  47. D. Christou and M. Mitrouli, Estimation of the Greatest Common Divisor of many polynomials using hybrid computations performed by the ERES method, Appl. Num. Anal. and Comp. Math., Vol. 2, No 3, (2005), 293-305.
  48. N. Karcanias, S. Fatouros, M. Mitrouli, and G. Halikias, Approximate greatest common divisor of many polynomials, generalised resultants and strength of approximation, Computers \& Mathematics with appl., Vol. 51 (2006), 1817-1830.
  49. N. Karcanias, M. Mitrouli, and D. Triantafyllou, Matrix pencil methodologies for computing the greatest common divisor of polynomials: hybrid algorithms and their performance, Inter. Jour. of Control, Vol. 79 , No 11 (2006), 1447-1461.
  50. C. Kravvaritis, and M. Mitrouli, Determinant evaluations for weighing matrices ,Int. J. Pure Appl. Math., Vol. 34 (2007), 163-176.
  51. C. Kravvaritis, M. Mitrouli and J. Seberry, On the pivot structure for the weighing matrix W(12,11) , Linear and Multilinear Algebra, Vol. 55, No 5, (2007), 471-490.
  52. C. Kravvaritis, and M. Mitrouli, Evaluation of minors associated to weighing matrices, Linear Algebra and its Appl., Vol. 426 (2007), 774-809.
  53. C. Kravvaritis, and M. Mitrouli, Computations for minors of Hadamard matrices, Bull. Greek Math. Soc., Vol. 54, (2007), 221-237.
  54. C. Kravvaritis and M. Mitrouli, A technique for computing minors of orthogonal (0,1,-1) matrices and applications to the growth problem, Electronic Transactions on Numerical Analysis (ETNA), Vol. 31, (2008), 49-67.
  55. D. Triantafyllou and M. Mitrouli, On the computation of the rank of block bidiagonal Toeplitz matrices, Jour. of Comp. and Appl. Math., Vol. 227, (2009), 126-135.
  56. C. Kravvaritis and M. Mitrouli, Compound matrices: properties, numerical issues and analytical computations, Numerical Álgorithms, Vol. 50, (2009), 155-177.
  57. C. Kravvaritis and M. Mitrouli, The growth factor of a Hadamard matrix of order 16 is 16, Numerical Linear Algebra with Applications, Vol. 16, Issues 7-9 (2009), 715-743.
  58. G. Kalogeropoulos, A. Karageorgos, M. Mitrouli, and A. Pantelous, Rank properties of a sequence of block bidiagonal Toeplitz matrices, Neural Parallel Sci. Comput., Vol. 18 (2010), no. 3, 297-324.
  59. D. Christou, N. Karcanias and M. Mitrouli, The ERES method for computing the approximate GCD of several polynomials, Applied Numerical Mathematics, Vol. 60, Is. 1-2, (2010), 94-114.
  60. D. Triantafyllou and M. Mitrouli, On rank and null space computation of the generalized Sylvester matrix, Numer. Algor., Vol. 54, (2010), pp. 297-324.
  61. Jennifer Seberry and M. Mitrouli, Some remarks on Hadamard matrices, Cryptogr. Commun., Vol. 2, (2010), pp.293-306.
  62. M. Mitrouli, A sign test for detecting the equivalence of Sylvester Hadamard matrices, Numer. Algor., Vol. 57, (2011), pp. 169-186.
  63. M. Kourniotis, M. Mitrouli and D. Triantafyllou, Parallel QR processing of generalised Sylvester matrices, Theoretical Computer Science, Vol. 412, (2011), pp. 1484-1491.
  64. M. Mitrouli, D-optimal designs embedded in Hadamard matrices and their effect on the pivot patterns, Linear Algebra and its Appl., Vol. 434, (2011), 1761-1772.
  65. A. Karapiperi, M. Mitrouli, M.G. Neubauer and J. Seberry, An eigenvalue approach evaluating minors for weighing matrices W(n,n-1), Linear Algebra and its Appl., Vol. 436, (2012), 2054-2066.
  66. C. Brezinski, P. Fika and M. Mitrouli, Moments of a linear operator, with applications to the trace of the inverse of matrices and the solution of equations, Numerical Linear Algebra with Applications, Vol. 19, (2012), 937-953.
  67. C. Brezinski, P. Fika and M. Mitrouli, Estimations of the trace of powers of positive self-adjoint operators by extrapolation of the moments, Electronic Transactions on Numerical Analysis (ETNA), Vol. 39, (2012), 144-155.
  68. D. Christou, A. Danelakis, M. Mitrouli and D. Triantafyllou, A Hybrid Method for Computing the Intersection and Tangency Points of Plane Curves, Applied Mathematics and Computation, Vol. 219, (2012), 1975-1987.
  69. C. Kravvaritis, and M. Mitrouli, On the complete pivoting conjecture for Hadamard matrices: further progress and a good pivots property", Numer. Algor., Vol. 62, (2013), pp. 571-582.
  70. A. Danelakis, M. Mitrouli and D. Triantafyllou, Blind Image deconvolution using a banded matrix method, Numer. Algor., Vol. 64, (2013), pp.43-72.
  71. D Christou, N. Karcanias and M. Mitrouli, Matrix representation of the shifting operation and numerical properties of the ERES method for computing the greatest common divisor of sets of many polynomials, J. Comp. Appl. Math., Vol. 260, (2014), pp.54-67.
  72. P. Fika, M. Mitrouli and P. Roupa, Estimates for the bilinear form uTA-1v with applications to linear algebra problems, Electronic Transactions on Numerical Analysis (ETNA), Vol. 43, (2014), 70-89.
  73. M. Mitrouli, Sylvester Hadamard matrices revisited, Special Matrices, Vol. 2, (2014), 120-124.
  74. P. Fika and M. Mitrouli, Estimation of the bilinear form y*f(A)x for Hermitian matrices, Linear Algebra and its Appl., Vol. 502, (2016), 140-158.
  75. D. Christou, N. Karcanias, and M. Mitrouli, Approximate Least Common Multiple of several polynomials using the ERES division algorithm, Linear Algebra and its Appl., Vol. 511, (2016), 141-175.
  76. P. Fika and M. Mitrouli, Aitken's method for estimating linear algebra quantities in applications, Calcolo, doi:10.1007/s10092-016-0193-0.
  77. P. Fika, M. Mitrouli and P. Roupa, Estimating the diagonal of matrix functions, Mathematical Methods in the Applied Sciences, doi:10.1002/mma.4228.

Papers in Refereed conference Proceedings and Books

  1. M. Mitrouli, N. Karcanias and C. Giannakopoulos, The computational framework of the Determinental Assignment Problem, Proceedings of the First European Control Conference, Vol. 1, Hermes, Paris, (1991) pp. 98-113.
  2. M. Mitrouli and N. Karcanias, Computational aspects of almost zeros and related properties, Proceedings of the Third European Control Conference, Vol. 3, Rome (1995) pp. 2094-2099.
  3. M. Mitrouli and C. Koukouvinos, On the growth problem for D-optimal designs, Proceedings of the First Workshop on Numerical Analysis and Applications, Lecture Notes in Computer Sciense, Vol. 1196, (1996) pp. 341-348, Springer Verlag.
  4. M. Mitrouli, J. Leventides, N. Karcanias and E. Milonidis, Computation of solutions of the determinantal assignment problem using optimization methods, IEEE Proceedings of Large Scale Systems: Theory and Applications, Rio Patras (1998), Greece.
  5. N. Karcanias and M. Mitrouli, Approximate algebraic computations of algebraic invariants, Symbolic methods in control systems analysis and design, IEE Control Engin. Series., Vol. 56, (1999) pp 135-168.
  6. M. Mitrouli and P. Yalamov, Matrices with sparsity structure in Control problems, Large- Scale Scientific Computations, Notes on Numerical Fluid Mechanics, Vieweg, Vol. 73, (2000) pp. 162-168.
  7. N. Karcanias and M. Mitrouli, Normal factorisation of polynomials and its symbolic computation, IEE Control 2000 Conference, Cambridge 4-7 September 2000.
  8. M. Mitrouli, On the complete pivoting conjecture for Hadamard matrices of order 16, Second Conference on Numerical Analysis and Applications, Lecture Notes in Computer Sciense, Vol. 1988, (2001) pp. 602-607, Springer-Verlag.
  9. N. Karcanias, M. Mitrouli, S. Fatouros, Computation of normal factorisation of polynomials using resultant sets, (Proceedings of the IFAC Symposium on System Sructure and Control (SSSC), Pragues, 2001).
  10. N. Karcanias, M. Mitrouli, S. Fatouros, A resultant based computation of the greatest common divisor of two polynomials, Proceedings of the 11th Mediterranean Conference on Control and Automation MED'03, Rhodes, Greece, June 2003.
  11. S. Fatouros, N. Karcanias, and M. Mitrouli, Approximate solutions to root clustering problem, Proceedings of the 11th Mediterranean Conference on Control and Automation MED'03, Rhodes, Greece, June 2003.
  12. N. Karcanias, S. Fatouros, M. Mitrouli and G. Halikias, Approximate greatest common divisor of many polynomials and generalised resultants, Proceedings of the European Control Conference 2003, September 1-4, Cambridge, U.K.).
  13. D. Triantafyllou and M. Mitrouli, Two resultant based methods computing the greatest common divisor of polynomials, Third International Conference on Numerical Analysis and its Applications, Lecture Notes in Computer Science 3401, pp. 519-526, 2005, Springer Verlag.
  14. C. Kravvaritis, E. Lappas and M. Mitrouli, An algorithm to find values of minors of skew Hadamard and conference matrices, Third International Conference on Numerical Analysis and its Applications, Lecture Notes in Computer Science 3401, pp. 373-382, 2005, Springer Verlag.
  15. D. Triantafyllou, M. Mitrouli and N. Karcanias, Resultant based methods computing the greatest common divisor of several polynomials, {Proceedings of the 13th Mediterranean Conference on Control and Automation, Limassol, Cyprus, June 27-29, pp. 387-392, 2005 IEEE.}
  16. C. Kravvaritis, M. Mitrouli and J. Seberry, Counting techniques specifying the existence of submatrices in weighing matrices, {CASC 2005, Lecture Notes in Computer Science 3718, pp. 294-305, 2005, Springer Verlag.}
  17. N. Karcanias, M. Mitrouli and D. Triantafyllou, A hybrid approach for normal factorization of polynomials, {International Conference on computational science, Lecture Notes in Computer Science 3992, pp. 399-406, 2006, Springer Verlag.}
  18. D. Christou, N. Karcanias, M. Mitrouli and D. Triantafyllou, Numerical and symbolical comparison of resultant type, ERES and MP methods computing the Greatest Common Divisor of polynomials, Proceedings of the European Control Conference 2007, Vol. 3, Kos, Greece, (2007) pp. 2094-2099.
  19. G. Kalogeropoulos, M. Mitrouli, A. Pantelous and D. Triantafyllou, The Weierstrass canonical form of a regular matrix pencil: Numerical issues and computational techniques, Fourth Confernence on Numerical Analysis and Applications, Lecture Notes in Computer Science 5434, pp. 322-329, 2009, Springer-Verlag.
  20. D. Christou, N. Karcanias, M. Mitrouli and D. Triantafyllou, Numerical and symbolical methods computing the Greatest Common Divisor of several polynomials, Numerical Linear Algebra in Signals, Systems and Control, Edts: Van Dooren, Bhattacharyya, Chan, Olshevsky and Routray, Springer-Verlag,}, Lecture Notes in Electrical Engineering, Vol. 80, (2011), 123-144.
  21. C. Kravvaritis and M. Mitrouli, Numerical Optimization for the Length Problem, Applications of Mathematics and Informatics in Military Science, Springer Optimization and its Applications, Springer, 2012, Vol. 71, pp. 87-93.
  22. D. Christou, A. Danelakis, M. Mitrouli and D. Triantafyllou, Computer Graphics techniques in Military Applications, Applications of Mathematics and Informatics in Military Science, Springer Optimization and its Applications, Springer, 2012, Vol. 71, pp.77-85.
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