Publications
-
Portfolio management using graph centralities: Review and comparison, (with Vanni Noferini and Spyridon Vrontos), preprint, 2024.
-
Structured Level-2 Condition Numbers of Matrix Functions, (with Samuel D. Relton, Marcel Schweitzer), The Electronic Journal of Linear Algebra, 40, 28--47, 2024.
-
Structured Condition Number for a Certain Class of Functions of Non-commuting Matrices, (with João R. Cardoso), Results in Mathematics, 2023.
-
Generalized Complex Step Approximation to Estimate the First and Second Order Frechet Derivative of Matrix Functions, (with Awad H. Al-Mohy) FILOMAT, 36(16), 5603--5614, 2022.
-
Structure Preserving Algorithm for the Logarithm of Symplectic Matrices, Mathematical Sciences and Applications E-Notes, 2021.
-
The Complex Step Approximation to the Higher Order Frechet Derivatives of a Matrix Function (with Awad H. Al-Mohy), Numerical Algorithms, 2020.
-
The Structured Condition Number of a Differentiable Map Between Matrix Manifolds, with Applications (with Vanni Noferini and Françoise Tisseur ). SIAM J. Matrix Anal. Appl., 40(2), 774--799, 2019.
Master Students
-
Tuğçe ÜNAL
-
Rahaf HABIBA
Thesis
-
Functions of Structured Matrices, Ph.D, University of Manchester, September 2016.
-
The Matrix Exponential, M.Sc. Thesis, University of Manchester, September 2012.