Timeline for Norm of matrix product sum
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
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Sep 5, 2023 at 6:07 | comment | added | D.Ult | @NathanielJohnston Unfortunately, all I can say is that $\left\|\sum_{i=0}^NA^iBC^{N-i}\right\| = \sum_{i=0}^N\left\|A^iBC^{N-i}\right\| $. I wonder if we can formulate some other properties in this case. | |
Sep 4, 2023 at 22:11 | comment | added | Federico Poloni | @NathanielJohnston If $B$ and $Q$ are $n\times n$ matrices, with $Q$ orthogonal, what can we say about the Frobenius norm $\|QB\|_F$? | |
Sep 4, 2023 at 17:22 | comment | added | Nathaniel Johnston | Surely you can't say anything? Multiplying $B$ by a non-zero scalar doesn't change the zero pattern of $A^i B C^{N-i}$, but will let you change the Frobenius norm to whatever you want. | |
Sep 4, 2023 at 17:13 | history | edited | D.Ult | CC BY-SA 4.0 |
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S Sep 4, 2023 at 16:47 | review | First questions | |||
Sep 4, 2023 at 22:10 | |||||
S Sep 4, 2023 at 16:47 | history | asked | D.Ult | CC BY-SA 4.0 |