**"Higher
Order Linear Recurrences by Matrix Methods"**

By

** Abstract:** In this talk, we consider
k-sequences of generalized order-klinear recurrences
with arbitrary initial conditions and coefficients, and we give some formulae
for them such as generalized Binet formulas. We give a generating matrix to
derive explicit formulae for the sums of terms of these k-sequences by matrix
methods.

** Bio:** Emrah Kilic
received his bachelor's degree in mathematics from Ankara University, Ankara
Turkey in 1999. He received his M.A. in 2002 from Gazi
University and his Ph.D. in 2006 from the same University, Ankara. He joined
the department of Mathematics at TOBB ETU in August 2006. He was a visiting
scholar at MIT, under the host of Prof. Gilbert Strang
from February 2008 until May 2008. Currently he is Associate Professor in the department
of Mathematics at TOBB ETU. His research interests are Combinatorics
and Linear Algebra-Matrix Theory.

**Date: ****Wednesday, May 8, 2013**

**Time: ****15.40 – 16:30 **

**Place: ****Mathematics Seminar Room,
SA-141**

Tea and cookies will be served after the
seminar.