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Results tagged with matrix-theory
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user 86526
Matrix theory is the study of matrices as concrete objects, rather than as abstract linear operators between vector spaces (whose study belongs to linear algebra). For instance, this involves matrix factorizations and decompositions, nonnegative matrices and Perron-Frobenius theory, Schur complements, structured and special matrices, matrix functions and equations.
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Relationship between $2 \to 2$ norm and $\infty \to 2$ norm
It is more a question on norms on spaces and not on operators as
$\| \cdot \|_{N_1, N_3} \leq C \| \cdot \|_{N_2,N_3}$ if and only if $N_2 \leq \frac{1}{C} N_1$.
Doing so if $l_{x,y}(z) = \left< x, z …
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