References & Citations
Mathematics > Numerical Analysis
Title: The Pseudoinverse of $A=CR$ is $A^+=R^+C^+$ (?)
(Submitted on 2 May 2023 (this version), latest version 26 Mar 2024 (v3))
Abstract: The statement in the title is not generally true, unless $C$ and $R$ have full rank. Then the $m$ by $r$ matrix $C$ is assumed to have $r$ independent columns (rank $r$). The $r$ by $n$ matrix $R$ is assumed to have $r$ independent rows (rank $r$). In this case the pseudoinverse $C^+$ is the left inverse of $C$, and the pseudoinverse $R^+$ is the right inverse of $R$
Submission history
From: Michal Karpowicz Dr [view email] [via ASHLEY proxy][v1] Tue, 2 May 2023 18:28:22 GMT (5kb)
[v2] Sat, 6 May 2023 16:54:16 GMT (5kb)
[v3] Tue, 26 Mar 2024 22:23:16 GMT (136kb,D)
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