Template Arrays and Two-Dimensional Recurrence Relations

Document Type

Presentation Abstract

Presentation Date

5-8-2023

Abstract

In a two-dimensional recurrence relation, there is an underlying structure composed of the two-dimensional sequences (arrays) in which the set of indices is extended from an ordered pair where each entry comes from the set of natural numbers to an ordered pair where each entry comes from the set of integers. The recurrences we will look at have coefficients that come from a field. In this talk, we will look at a set of initial conditions sufficient to build a uniquely-determined array from a given recurrence and initial conditions, as well as look at how to construct a Schauder basis using elementary arrays for the set of arrays.

Additional Details

May 8, 2023 at 3:00 p.m. Math 103

This document is currently not available here.

Share

COinS