Benjamin C. Wilson
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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.
Primary Advisor's Department
Stander Symposium project, College of Arts and Sciences
"The Moore-Penrose pseudo-inverse: theory, applications, and a generalization" (2021). Stander Symposium Projects. 2208.