Discrete Mathematics Seminars
The discrete mathematics seminar series is an informal series of research and general interest seminars given by staff and postgraduates. Please contact Amit Kuber or David Wilding if you would like to receive announcements of upcoming seminars or if you are interested in giving a seminar. Any topic that could (even loosely) be described as discrete mathematics is welcome.
2014 Circulant Matrices
1.00pm - Frank Adams 2, Alan Turing BuildingAbstract (click to view)
Aristotle once said "What is eternal is circular and what is circular is eternal". Yet despite the circular nature of circulant matrices, knowledge of them has been far from eternal. Indeed, over the years many mathematicians have re-discovered the basic properties that they magically hold, unaware that many had been there before, whilst many others would follow after them.
In this talk, we shall introduce some of the basic properties of circulant matrices, to circumvent this re-discovery process in the future. Having established these properties, we will see how they may be used to consider sequences of circulant matrices. If time permits we shall also see how circulant matrices can be used to solve polynomial equations.