Timeline for Pseudoinverse of Neumann-Laplacian
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Sep 17, 2013 at 12:43 | history | edited | Guido Kanschat | CC BY-SA 3.0 |
remove question about pseudo inverse
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| Sep 17, 2013 at 12:43 | comment | added | Guido Kanschat | Then $A^\dagger$ is continuous iff the range of $A$ is closed | |
| Sep 17, 2013 at 12:36 | comment | added | Elias Ka | Definition of Pseudo-Inverse: Let $$A\colon X\to Y $$ be a bounded linear operator between two hilbert-spaces. Further define $$\widetilde{A}\colon \mathrm{ker}(A)^\perp \to \mathrm{ran}(A)$$. Then we define $$A^\dagger\colon \mathrm{ran}(A)\otimes \mathrm{ran}(A)^\perp \subset Y \to X \\ y \mapsto \widetilde{A}^{-1} P_{\mathrm{ran}(A)} y$$ Here $P_{\mathrm{ran}(A)}$ is the projector onto (the closure of) the range of $A$. | |
| Sep 17, 2013 at 12:25 | history | answered | Guido Kanschat | CC BY-SA 3.0 |