Dear all, on Monday next week Carla Hernando, a PhD student visiting the department of Computer Science for three months, will give a seminar on her research.
You are all welcome to attend, the abstract is attached below.
Best wishes, -- Leonardo.
Speaker: Carla Hernando Affiliation: UC3M, Madrid Time: Monday, 18 March 2019, h. 14:00 Place: Sala Seminari, Dipartimento di Matematica
Title: Sparse linearizations and (sparse) structured ell-ifications
The talk is divided in two main parts. The first one is focused on (generalized) companion pencils, which are strong linearizations and they present a template involving no arithmetic operations at all. In addition, we are mainly interested in sparse (generalized) companion pencils and then, we determine the smallest number of nonzero entries of a particular class of companion pencils. In the case of generalized companion pencils, we should impose natural conditions on its entries. In the second one, a family of structured block Kronecker ell-ifications will be introduced. This family has the particular structure of a strong block minimal bases polynomial, introduced in [1]. Furthermore, we have introduced two new subfamilies of structured block Kronecker ell-ifications where not only there is no duplication of the coefficients of the polynomial, but also the degree-ell polynomial is sparse.
This is joint work with Fernando de Terán (UC3M, Spain), my thesis director.
[1] F.M.Dopico, J.Pérez, P.Van Dooren. Block minimal bases ell-ifications of matrix polynomials. Linear Algebra Appl., 562 (2019), 163-204