#Numerical Linear Algebra Proof

8 messages · Page 1 of 1 (latest)

valid egret
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Hey, I am taking a Numerical Linear Algebra course and can't quite understand this proof. I understand everything until the green mark. From then I don't understand how we can assume that it is less than using the 2-norm. Finally, Where does the m^3 come from in the end? Thanks in advance! (the proof is in Dutch)

Screenshot_2025-01-28_at_16.51.18.jpg
obsidian patrolBOT
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somber harness
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Hey, so as it says in the sentence below, all matrix norms are equivalent thus you can say that
c||A||_a ≤ ||A||_b ≤ C||A||_a
Because we have Big O we can make it an upper bound.
The m most likely stands for the dimension of the matrix somehow??
I'm right now studying Numerical Linear Algebra myself so take everything I say with a pinch of salt. But if you want to connect and suffer through all of this together, feel free to hmu!

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Not Discord spoilers destroying my math notation, those should have been norm brackets

fringe acorn
errant scrollBOT
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@valid egret

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Hello 3.ammar, this is a friendly reminder that your help request has been inactive for more than 24 hours. If you no longer need assistance, please consider closing the thread using the +close command. This thread will be automatically closed in 3 days if it remains inactive.

valid egret