# Numerical Analysis and Scientific Computing Seminar

## Continuous Analogues of Matrix Factorizations

**Speaker:**
Alex Townsend, University of Oxford

**Location:**
Warren Weaver Hall 1302

**Date:**
Oct. 4, 2013, 10 a.m.

**Synopsis:**

Often for the purposes of computations we work with discretizations of continuous objects, but conceptually it is usually the continuous framework that has a physical interpretation. In this talk we ask the question: What are the continuous analogues of matrix factorisations? The answer we develop involves bivariate functions and an iterative variant of Gaussian elimination, leading to a test for a non-negative definite kernel and a definition for a triangular quasimatrix (a matrix whose columns are functions).