Timeline for Minimal value of matrix norm induced by a norm
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 3, 2019 at 17:06 | comment | added | Fedor Petrov | I forgot to add powers of $r$: $\|x\|+r^{-1}\|Ax\|+\dots+r^{1-m}\|A^{m-1}x\|$. | |
| Mar 3, 2019 at 12:19 | comment | added | Jonas Adler | Beautiful proof! Thank you. | |
| Mar 3, 2019 at 12:19 | vote | accept | Jonas Adler | ||
| Mar 3, 2019 at 11:57 | comment | added | Fedor Petrov | Jordan form is too heavy machinery for this question. And the real case is not covered, I am afraid. Instead, we may fix any $r>\rho$, choose $m$ for which $\|A^m\|<r^m$ and define new norm as $\|x\|+\|Ax\|+\dots+\|A^{m-1} x\|$. | |
| Mar 3, 2019 at 11:38 | history | edited | Federico Poloni | CC BY-SA 4.0 |
added 509 characters in body
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| Mar 3, 2019 at 11:31 | history | answered | Federico Poloni | CC BY-SA 4.0 |