Positive Bases and their use in Derivative Free Algorithms

Date: Thursday 16 February 2023

Abstract

A positive basis is a set that non-negatively spans $R^n$ and contains no proper subsets with the same property. These attributes make positive-bases a useful tool in derivative-free algorithms and an interesting concept in mathematics. In this talk, we examine some properties of positive bases, including how to check if something is a positive basis and how to construct positive bases with nice structures.