Department of Economics
Division of Mathematics and Informatics
National and Kapodistrian University of Athens

1. J. K. Sahoo, R. Behera, P.S. Stanimirovic,V.N. Katsikis and H. Ma, Core and Core-EP inverses of tensors, Computational and Applied Mathematics (2019).
2. M. Zhou, J. Chen, P.S. Stanimirovic, V.N. Katsikis, H. Ma, Complex Varying-Parameter Zhang Neural Networks for Computing Core and Core-EP Inverse, Neural Processing Letters (2019).
3. V.N. Katsikis, S. D. Mourtas, ORPIT: A Matlab Toolbox for Option Replication and Portfolio Insurance in Incomplete Markets, Computational Economics (2019).
4. P.S. Stanimirovic, V.N. Katsikis , S. Li, Higher-order Dynamics, Neural Processing Letters (2019).
5. P.S. Stanimirovic, A. Kumar, V.N. Katsikis Further efficient hyperpower iterative methods for the computation of generalized inverses A(2)_{T,S}, RACSAM,(2019).
6. H. Ma, N. Li, P.S. Stanimirovic, V.N. Katsikis Perturbation theory for Moore–Penrose inverse of tensor via Einstein product, Computational and Applied Mathematics,(2019).
7. P.S. Stanimirovic,V.N. Katsikis, Z. Zhang, S. Li, J. Chen, M. Zhou Varying-parameter Zhang neural network for approximating some expressions involving outer inverses, Optimization Methods and Software,(2019).
8. P.S. Stanimirovic, V.N. Katsikis, S. Srivastava, D. Pappas A class of quadratically convergent iterative methods, RACSAM,(2019).
9. V.N. Katsikis, S. D. Mourtas "A heuristic process on the existence of positive bases with applications to minimum-cost portfolio insurance in C [a,b], Applied Mathematics and Computation 349 (2019) 221–244.
10. P.S. Stanimirovic, V.N. Katsikis , S. Li, Integration enhanced and noise tolerant ZNN for computing various expressions involving outer inverses, Neurocomputing 329 (2019) 129-143.
11. P.S. Stanimirovic,V.N. Katsikis , S. Li, Hybrid GNN-ZNN models for solving linear matrix equations, Neurocomputing, 316 (2018), 124-134.
12. M.D. Petkovic, P.S. Stanimirovic, V.N. Katsikis , Modified discrete iterations for computing the inverse and pseudoinverse of the time-varying matrix,Neurocomputing, 289 (2018), 155-165.
13. P.S. Stanimirovic, V.N. Katsikis and D. Kolundzija, Inversion and pseudoinversion of block arrowhead matrices. Applied Mathematics and Computation 341 (2018), 379–401.
14. P.S. Stanimirovic, M. Ciric, V.N. Katsikis , C. Li and H. Ma, Outer and (b,c) inverses of tensors, Linear and Multilinear Algebra (2018).
15. D. Pappas, V.N. Katsikis and P.S. Stanimirovic, The lambda- Aluthge transform of EP matrices. Filomat 32:12 (2018). (Accepted manuscript, In Press). 
16. D. Pappas, V.N. Katsikis and I. Stanimirovic, Symbolic Computation of the Duggal Transform, Journal of Linear and Topological Algebra, Vol. 07, No.01 (2018), 53-62.
17. S. Srivastava, P.S. Stanimirovic, V.N. Katsikis and D.K. Gupta, A Family of Iterative Methods with Accelerated Convergence for Restricted Linear System of Equations, Mediterranean Journal of Mathematics (2017). DOI 10.1007/s00009-017-1020-9
18. D. Pappas, V.N. Katsikis and I.P. Stanimirovic, Symbolic Computation of the Aluthge Transform, Mediterranean Journal of Mathematics,DOI: 10.1007/00009-17-0862-5 (2017).
19. P.S. Stanimirovic, V.N. Katsikis and Dimitrios Pappas, Computation of {2, 4} and {2, 3}-inverses based on rank-one updates, Linear and Multilinear Algebra (2017). DOI: 10.1080/03081087.2017.1290042                                                                                                                              
20. P.S. Stanimirovic, V.N. Katsikis and Haifeng Ma, Representations and properties of the W-Weighted Drazin inverse, Linear and Multilinear Algebra. DOI: 10.1080/03081087.2016.1228810, (2016).
21. V.N. Katsikis, A new computational method for finding the cheapest hedge. Facta Universitatis Ser. Math. Inform. Vol. 31, No 2 (2016), 349–362.
22. P. S. Stanimirovic, V.N. Katsikis, I. Stojanovic, Computing the pseudo-inverse of specific Toeplitz matrices using rank-one updates. Mathematical Problems in Engineering, Volume 2016, Article ID 9065438, 16 pages. DOI: 10.1155/2016/9065438 (2016).
23. V.N. Katsikis Computation of replicated exercise prices by using positive bases. Filomat, 30:11, (2016), 2973-2984.
24. V.N. Katsikis, S. N. Papakostas, S. Tsitmidelis, and Ch. Tsitouras, Evolutionary generation of explicit two step methods for second order linear IVPs. (AIP (American Institute of Physics) Conference Proceedings) (Refereed Conference)(2016).
25. V.N. Katsikis, An alternative computational method for finding the minimum-premium insurance portfolio. ICNAAM 2016 Proceedings. (AIP (American Institute of Physics) Conference Proceedings) (Refereed Conference).
26. P.S. Stanimirovic, V.N. Katsikis, D. Pappas, Computing {2,4} and {2,3} - inverses by using the Sherman–Morrison formula. Applied Mathematics and Computation 273 (2016), 584–603. DOI:10.1016/j.amc.2015.10.023
27. S. Chountasis, D. Pappas, V.N. Katsikis, Signal watermarking in bi-dimensional representations using matrix factorizations, Computational and Applied Mathematics (2015), DOI: 10.1007/s40314-015-0230-7.
28. P.S. Stanimirovic, D. Pappas, V.N. Katsikis, M.S. Cvetkovic, Outer inverse restricted by a linear system. Linear and Multilinear Algebra (2015),http://dx.doi.org/10.1080/03081087.2015.1019200. 
29. P. S. Stanimirovic, I. Stojanovic, V.N. Katsikis, D. Pappas, Z. Zdravev, Application of the Least Squares Solutions in Image Deblurring.Mathematical Problems in Engineering, Volume 2015, Article ID 298689, 18 pages. (To link to this
    Article DOI: http://dx.doi.org/10.1155/2015/298689)  
30. Ch. Tsitouras,  V.N. Katsikis, Solving Undamped Unforced Free Oscillators by Loo Approximations to cos. ICCMSE 2014 Proceedings. (AIP American Institute of Physics Conference Proceedings)  (Refereed Conference). 
31. Ch. Tsitouras, V.N. Katsikis, Bounds for Variable Degree Rational Loo Approximations to the Matrix Cosine. Computer Physics Communications  (2014).  
32. P.S. Stanimirovic, D. Pappas, V.N. Katsikis, Generalized inverse restricted by the normal Drazin equation. Linear and Multilinear Algebra (2014).  (http://dx.doi.org/10.1080/03081087.2014.908873)
33. V.N. Katsikis, A new characterization of markets that don't replicate any option through minimal-lattice subspaces. A computational approach. Filomat 27:7(2013), 1357-1372.
34. P.S. Stanimirovic, D. Pappas, V.N. Katsikis, I.P. Stanimirovic, Full-rank representations of outer inverses based on the QR decomposition. Applied Mathematics and Computation 218 (2012), 10321-10333. 
35. P.S. Stanimirovic, D. Pappas, V.N. Katsikis, I. Stanimirovic, Symbolic computation of A(2)_{T,S}-inverses using QDR factorization. Linear Algebra and its Applications 437 (2012), 1317-1331.
36. V.N. Katsikis, I. Polyrakis, Computation of vector sublattices and minimal lattice-subspaces of R^k. Applications in finance. Applied Mathematics and Computation 218 (2012), 6860-6873. 
37. S. Chountasis, V.N. Katsikis, D. Pappas, A. Perperoglou, The Whittaker Smoother and the Moore-Penrose Inverse in Signal Reconstruction. Applied Mathematical Sciences (2012), no.25, Vol.6, 1205-1219. 
38. V.N. Katsikis and D. Pappas, The restricted weighted generalized inverse of a matrix, Electronic Journal of Linear Algebra, 22(2011), 1156-1167.
39. V.N. Katsikis, Computational methods for option replication. International Journal of Computer Mathematics, Vol.88, No.13, September 2011, 2752-2769.
40. V.N. Katsikis, D. Pappas, A. Petralias, An improved method for the computation of the Moore-Penrose inverse matrix. Applied Mathematics and Computation217 (2011), 9828-9834.
41. S. Chountasis, V.N. Katsikis, D. Pappas, Digital image reconstruction in the spectral domain utilizing the Moore-Penrose inverse. Mathematical Problems in Engineering, Volume 2010, Article ID 750352.
42. V.N. Katsikis, A Matlab-based rapid method for computing lattice-subspaces and vector sublattices of R^n: Applications in portfolio insurance. Applied Mathematics and Computation (215) (2009) 961-972.
43. S. Chountasis, V.N. Katsikis, D. Pappas, Applications of the Moore-Penrose Inverse in digital image restoration. Mathematical Problems in Engineering Volume 2009, Article ID 170724. 
44.  V.N. Katsikis, Additive mappings between directed wedges with the Riesz interpolation property. International Journal of Mathematical Analysis (2) No.1(2008), 11-25. 
45.  V.N. Katsikis, Computational methods in lattice-subspaces of C[a,b] with applications in portfolio insurance. Applied Mathematics and Computation (200)(2008) 204-219.
46.  V.N. Katsikis  and D. Pappas, Fast computing of the Moore-Penrose inverse matrix. Electronic Journal of Linear Algebra, 17(2008), 637-650.
47.  V.N. Katsikis, Additive mappings between directed wedges with the Riesz interpolation property.International Journal of Mathematical Analysis (2) No.1 (2008), 11-25. 
48.  V.N. Katsikis, Computational methods in portfolio insurance.  Applied Mathematics and Computation (189) (2007) 9-22. 
49.  V.N. Katsikis, Generalized wedges and ordered spaces with the Riesz decomposition property. Nonlinear Functional Analysis and Applications (12)No.2 (2007) 205-217. 
50.  V.N. Katsikis, I.Polyrakis, Positive Bases in ordered subspaces with the Riesz Decomposition Property. Studia Mathematica (174) (2006) 233-253.
51.  V.N. Katsikis, Methods on computing positive bases in finite dimensional vector sublattices. Applications in completion of security markets and in the theory of ecient funds. ICNAAM 2008 Proceedings. (AIP (American Institute of Physics) Conference Proceedings) (Refereed Conference).  
52.  V.N. Katsikis, C.Tsitouras, Computational methods in finite dimensional lattice-subspaces. An application in economics. ICNAAM 2006 Proceedings, 406-410 (Refereed Conference).     
53. S. Chountasis, V.N. Katsikis, D. Pappas, Image restoration via fast computing of the Moore-Penrose inverse matrix. 2009 16th International Conference on Systems,Signals and Image Processing, IWSSIP 2009, IEEE conference proceedings, Article number 5367731, ISBN: 978-142444530-1 Refereed Conference). 

Publications (Last update December 2019)

- Journal Papers (# 53) -

- Books for researchers (# 4)-

- Book Chapters (#4) -

 

 

 

 

 

 

 

Available from: http://www.intechopen.com/books/matlab-a-fundamental-tool-for-scientific-computing-and-engineering-applications-volume-1/image-reconstruction-methods-for-matlab-users-a-moore-penrose-inverse-approach