Timeline for Eigenvalues of product of symplectic matrices
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Dec 18, 2015 at 14:23 | vote | accept | Maksim Surov | ||
| Dec 18, 2015 at 14:15 | answer | added | Federico Poloni | timeline score: 2 | |
| Dec 18, 2015 at 13:23 | comment | added | Maksim Surov | Thank you. I know that there are no general theorems for a product of matrices, but I thought symplecticity property could be helpful here. Anyway my problem is not so global, so I clarified my question a bit. | |
| Dec 18, 2015 at 13:23 | history | edited | Maksim Surov | CC BY-SA 3.0 |
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| Dec 18, 2015 at 13:08 | comment | added | Federico Poloni | It would surprise me if the answer is yes. There are basically no results on expressing eigenvalues of products in terms of the eigenvalues of the multiplicand matrices (apart from zero eigenvalues, which your matrices do not have since symplectic implies nonsingular). Multiplying matrices with rational eigenvalues can give matrices with irrational (even non-algebraic) eigenvalues, so finding an exact result seems implausible. | |
| Dec 18, 2015 at 13:02 | history | edited | Maksim Surov | CC BY-SA 3.0 |
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| Dec 18, 2015 at 12:46 | review | First posts | |||
| Dec 18, 2015 at 12:51 | |||||
| Dec 18, 2015 at 12:41 | history | asked | Maksim Surov | CC BY-SA 3.0 |