Timeline for The spectrum of the product $JA$ where $J=I_n\oplus (-I_n)$
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jan 16, 2023 at 17:55 | vote | accept | ABB | ||
| Jan 16, 2023 at 17:17 | comment | added | Carlo Beenakker | also, please avoid changing a question after it has been answered, or at least keep the original formulation for the record. | |
| Jan 16, 2023 at 17:16 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
added the original question, before the edit
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| Jan 16, 2023 at 17:12 | comment | added | Carlo Beenakker | the eigenvalues and eigenvectors of $A$ fully determine the eigenvalues and eigenvectors of $JA$, but the algebraic relation for arbitrary $n$ is not simple, as you can see by considering small $n$. | |
| Jan 16, 2023 at 17:06 | comment | added | ABB | Okay, that is true for any orthogonal symmetric matrix. The question is concerned with finding some eigenvalues/eigenvectors of $JA$ which are made/obtained somehow by the eigenvalues/eigenvectors of $A$. I made some clarifications in the question. | |
| Jan 16, 2023 at 16:40 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |