Presenter(s)
Benjamin C. Wilson
Files
Download Project (224 KB)
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
![The Moore-Penrose pseudo-inverse: theory, applications, and a generalization](https://ecommons.udayton.edu/stander_posters/3209/thumbnail.jpg)