Welcome to the home page of the Mathematics Graduate Student Organization (MGSO) at Texas A&M University in College Station. The purpose of this organization is to encourage communication among students, faculty, and staff, and contribute to a rich social life in the department through cultural and scientific dialogue. We would also like to provide an environment where students in the mathematics department can practice their presentation skills as well as view the techniques of others. It is our goal to be a source of support and information for all graduate students.

The main activity of the MGSO is the Graduate Student Seminar. This seminar is for grad students, (largely) by grad students: Volunteer to give a talk!

Seminar: Spring 2014, Thursdays, Blocker 113, 4:00-4:50 PM

Next Talk

Speaker:   Dr. Ulrica Wilson

Title:   Eventually Properties of Matrices

Time / Date:   4:00 - 5:00 (Milner 317) , February 24

Abstract

An eventual property of a matrix $M\in\mathbb{C}^{n\times n}$ is a property that holds for all powers $M^k, k\ge k_0$, for some positive integer $k_0$. Eventually positive and eventually nonnegative matrices have been studied extensively since their introduction by Friedland in 1978. Eventually positive matrices are characterized by Perron-Frobenius properties and while there is no such characterization for eventually nonnegative matrices, there is much that can be said. For instance there is a subclass of eventually nonnegative matrices called strongly eventually nonnegative matrices that have nice characterizations. Eventually $r$-cyclic matrices were introduced to study SEN matrices. In this talk we discuss the spectral structure of eventually $r$-cyclic matrices and some other eventual properties of matrices.