Timeline for Analytical form for the nuclear norm of an $n \times n$ matrix
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Nov 2, 2022 at 12:53 | history | edited | Robert Bryant | CC BY-SA 4.0 |
Clarified the remark about the irreducibility of $f$.
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| Nov 2, 2022 at 9:50 | history | edited | Robert Bryant | CC BY-SA 4.0 |
Put in a correct proof of the correct answer
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| Nov 1, 2022 at 14:12 | comment | added | Robert Bryant | @Gro-Tsen: You are completely right. In fact, my claimed answer is completely wrong. I did not compute the Galois group and I should have, because it is easy. I will change my answer. | |
| Nov 1, 2022 at 11:11 | comment | added | Gro-Tsen | While this is a plausible argument, it should be made clear that this does not constitute a full proof of the nonexistence of a formula in radicals: such a proof would most likely involve computing the Galois group of the extension defined by the nuclear norm over the space of (sufficiently general) matrices, probably by monodromy considerations. | |
| Oct 30, 2022 at 12:00 | vote | accept | zhamao dra | ||
| Oct 30, 2022 at 10:04 | history | answered | Robert Bryant | CC BY-SA 4.0 |