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Results tagged with perturbation
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user 11142
1
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Kind of submultiplicativity of the Frobenius norm: $\|AB\|_F \leq \|A\|_2\|B\|_F$?
The general result is equivalent to the result for diagonal matrices (with positive entries), since this is what maximizes the LHS, given specified singular values for $X, Y.$ I leave that case up to …
- 96.4k
0
votes
analytic approximation of a non-negative matrix by a sequence of positive matrices
I might be misunderstanding something, but why is this not a standard perturbation estimate, of the sort studied exhaustively in the first chapter of Kato's perturbation theory, or Golub-Van Loan, or Horn-Johnson …
- 96.4k