- Thursday, November 17, 2016
- 3:40 PM–4:30 PM
- North Hall 276
Sivaram Narayan, Professor of Mathematics at Central Michigan University
A frame is a possibly redundant collection of vectors ffigi2I that span an
n-dimensional inner product space. A tight frame is a generalization of an or-
thonomal basis. A frame ffigi2I is said to be scalable if there exist nonnegative
scalars fcigi2I such that fcifigi2I is a tight frame. In this talk we will discuss
the combinatorial structure of frames and their decomposition into tight or scal-
able subsets using partially-ordered sets. We will dene the factor poset of a
frame and address the inverse factor poset problem.
Refreshments precede the talk at 3:30 p.m., in NH 282.