The Moore-Penrose pseudo-inverse: theory, applications, and a generalization

Authors

Presenter(s)

Benjamin C. Wilson

Files

Description

The Moore-Penrose pseudo-inverse is the more widely known generalization of the inverse of a matrix, and has applications in many areas including least squares. We present its definition, some of its properties and its connection with left and right inverses. We also discuss two different methods for computing the pseudo-inverse. Finally, we show its applications to the standard least-squares problems and propose a generalization of the pseudo-inverse using a general dot product on ℝ^n.

Publication Date

4-22-2021

Project Designation

Capstone Project

Primary Advisor

Catherine Kublik

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium project, College of Arts and Sciences

Recommended Citation

"The Moore-Penrose pseudo-inverse: theory, applications, and a generalization" (2021). Stander Symposium Projects. 2208.
https://ecommons.udayton.edu/stander_posters/2208