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spectral_norm_of_a_matrix [2013/09/19 21:06] nikolaj old revision restored (2013/09/19 21:01) |
spectral_norm_of_a_matrix [2014/03/21 11:11] (current) |
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| ===== Spectral norm of a matrix ===== | ===== Spectral norm of a matrix ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $ n\in\mathbb N $ | | + | | @#55CCEE: context | @#55CCEE: $ n\in\mathbb N $ | |
| - | | @#FFBB00: $ \Vert\cdot\Vert: \text{SquareMatrix}(n,\mathbb C)\to \mathbb R_+ $ | | + | | @#FFBB00: definiendum | @#FFBB00: $ \Vert\cdot\Vert: \text{SquareMatrix}(n,\mathbb C)\to \mathbb R_+ $ | |
| - | | @#55EE55: $ \Vert A \Vert := \text{max}\ \text{SingularVal}(A) $ | | + | | @#55EE55: postulate | @#55EE55: $ \Vert A \Vert := \text{max}(\text{SingularVal}(A)) $ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
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| === Subset of === | === Subset of === | ||
| [[Norm]] | [[Norm]] | ||
| - | === Requirements === | + | === Context === |
| - | [[Singular values of a matrix ]] | + | [[Singular values of a matrix]] |
