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Timeline for Norm of matrix product sum

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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