| Subject: | Linear Algebra and Matrix Analysis |
| Degree: | Department of Mathematics/National Technical University of Athens/Applied Mathematical Sciences and Physical Scienses |
| PhD: | Department of Mathematics/National Technical University of Athens PhD Thesis: Higher rank numerical ranges of nonnegative matrices and matrix polynomials. |
| Research Interests: | Bounds for the spectral radius of nonnegative matrices. Higher rank numerical ranges of matrices and matrix polynomials. Preconditioning and linear system sensitivity. CutFEM method in numerical approximation of PDE’s, Discontinuous Galerkin. |
| Office: | 220, 2nd Floor, Building Β |
| Contact with students: | Thursday 17:00-19:00 |
| E-mail: | kathy@uth.gr |
| Personal Webpage: |
Aikaterini Aretaki graduated from the School of Applied Mathematical and Physical Sciences of the National Technical University of Athens. She received her MSc in “Applied Mathematical Sciences” from the Department of Mathematics of the same School of NTUA and also her PhD in Mathematics from NTUA in 2011. Her research interests focus on the fields of Linear and Numerical Linear Algebra and Matrix Analysis including the study of higher rank numerical ranges of matrices and polynomial matrices, preconditioning techniques, the condition number of system matrices emerging from the numerical solution of PDE’s, and bounds for the spectral radius of nonnegative matrices. She worked as a postdoctoral researcher in the H.F.R.I. funded research project and “THALIS” project and she awarded a scholarship from Papakyriakopoulos foundation to conduct postdoctoral research in NTUA. In addition, she served as a postdoctoral fellow in the Department of Computer Science and Biomedical informatics in the University of Thessaly, while lecturing undergraduate and postgraduate courses of Mathematics at the same Department. She has also taught several courses in Mathematics at the ATEI of Athens, Piraeus, Western Greece and of the Ionian Islands. She has authored nine (9) refereed articles in international journals and nine (9) papers in conference proceedings, while she has participated with presentations in nine (9) international and eight (8) national conferences. She is a reviewer in 4 international journals of her scientific field.
- Katsouleas G., Karatzas E. and Aretaki Aik. (2021), Equal higher order analysis on an unfitted dG method for Stokes flow systems, Journal of Scientific Computing, (under review), arXiv preprint arXiv:2006.00435
- Aretaki Aik. and Karatzas E. (2020), Random geometries for optimal control PDE problems based on fictitious domain FEMS and cut elements, submitted for publication, arXiv preprint arXiv:2003.00352
- Adam M., Aggeli D. and Aretaki Aik. (2019), Some new bounds on the spectral radius of nonnegative matrices, AIMS Mathematics, 5(1), 701-716.
- Adam M., Aretaki Aik. and Spitkovsky I. (2018), Elliptical higher rank numerical range of some Toeplitz matrices, Linear Algebra and its Applications, 549, 256-275.
- Aretaki Aik., Psarrakos P. and Tsatsomeros M. (2017), The envelope of tridiagonal Toeplitz matrices and block-shift matrices, Linear Algebra and its Applications, 523, 60-85.
- Aretaki Aik. and Maroulas J. (2014), On the rank-k numerical range of matrix polynomials, Electronic Journal of Linear Algebra, 27, 809-820.
