Martina Iannacito

I am a postdoctoral researcher in the numerical analysis group at the Departement of Mathematics of Alma Mater Studiorum - University of Bologna. My research area is numerical linear algebra and scientific computing. I am particularly interested in tensor-based algorithms, low-rank methods for linear systems and finite precision arithmetic. In 2024, I joined the 2022 PRIN project Low-rank Structures and Numerical Methods in Matrix and Tensor Computations and their Application. My work is supervised by Prof. Valeria Simoncini, Prof. Davide Palitta and Prof. Michele Ruggeri. The project focuses on matrix and tensors equations for PDE, low low-rank approximation and data science applications. Between May 2023 and March 2024, I was a research fellow in the Science, Engineering and Technology group at the Kulak campus of KU Leuven. I worked on the development of numerical algorithms for computing the Canonical Polyadic tensor Decomposition

In 2022, I obtained my Ph.D. at the Inria Center of the University of Bordeaux under the supervision of Prof. Olivier Coulaud and Prof. Luc Giraud, both members of the Concace research team. In my Ph.D. thesis, I conducted experimental research on the Generalized Minimal RESidual method adapted to the Tensor Train format. I paid particular attention to parametric problems and also addressed the issue of the loss of orthogonality of common orthogonalization kernels extended to the tensor framework. This linked classical finite precision arithmetic theoretical results with tensor experimental results. The thesis comprises two studies on data science problems, that were developed in collaboration with an ecological and climatology research team.