Document Type
Lecture
Publication Date
11-17-2014
Abstract
Let �� be either an infinite tridiagonal matrix or a large random matrix with known spectral properties. We will try to reveal the spectrum of the product ����, where �� = diag(1, ..., 1, -1, -1, ...). We will start with a short motivation, lying in the fields of signal analysis (extracting information from a highly noisy signal) and numerical analysis. Subsequently, we will discuss the main method, based on the knowledge of the resolvent (�� - ��)⁻¹. We will compare similarities and differences between the two cases and show the main results on the location of spectra. The talk is based on joint work with Maxim Derevyagin and Patryk Pagacz (Jagiellonian University).
Relational Format
presentation
Recommended Citation
Wojtylak, Michal, "On deformations of classical Jacobi and random matrices" (2014). Analysis Seminar. 10.
https://egrove.olemiss.edu/math_analysis/10
