Timeline for Perturbations on the pseudoinverse of a matrix
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 10, 2023 at 0:48 | comment | added | Dhruv Kohli | Isn't $P$ the orthogonal projector onto $\mathcal{R}(A)^\perp$? | |
| May 10, 2016 at 20:10 | comment | added | Ulderique Demoitre | I also found here sciencedirect.com/science/article/pii/S0024379509005230 this bound on the norms that is nice: $$ ||f(\Delta)|| \leq \mu \max({{||A||_2}^2,{||A_p||_2}^2})||\Delta ||_2 $$ where $\mu$ is a constant | |
| May 9, 2016 at 16:44 | vote | accept | Ulderique Demoitre | ||
| May 9, 2016 at 14:48 | comment | added | Carlo Beenakker | if $A$ is square and full rank, then $P=0$, but not so if $A$ is full row or column rank and non-square. | |
| May 9, 2016 at 14:46 | history | edited | Carlo Beenakker | CC BY-SA 3.0 |
added 15 characters in body
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| May 9, 2016 at 13:59 | comment | added | Ulderique Demoitre | Thanks! If $A$ is full rank than $\Delta^\ast P=0$, correct? Do you have a reference for this? | |
| May 9, 2016 at 10:24 | history | answered | Carlo Beenakker | CC BY-SA 3.0 |