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On matrix norm equivalence: estimates on $A \|\mathbf M\|_2 \leq \|\mathbf M \|_F \leq B\|\mathbf M\|_2$

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#matrices #normed-spaces #matrix-norms
492
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conjugate function for matrix mixed norm

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#linear-algebra #optimization #convex-optimization #matrix-norms
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Matrix $3$-norm

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#matrices #optimization #normed-spaces #matrix-norms
10.9k
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Is the function $X \mapsto \mbox{trace} \left( X X^T \right)$ convex?

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#matrices #convex-analysis #trace #matrix-norms #scalar-fields
59.2k
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Meaning of the spectral norm of a matrix

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#matrices #matrix-norms #spectral-norm
742
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Norm of a matrix

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#linear-algebra #matrices #normed-spaces #matrix-norms
66.4k
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Infinity matrix norm example

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#matrices #normed-spaces #infinity #matrix-norms
19.9k
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Trace Norm properties

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#matrices #normed-spaces #matrix-norms #nuclear-norm
18.2k
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Gradient of squared Frobenius norm

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#matrices #derivatives #normed-spaces #matrix-norms #scalar-fields
59.5k
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Why is the Frobenius norm of a matrix greater than or equal to the spectral norm?

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#matrices #normed-spaces #equivalence-relations #matrix-norms #spectral-norm
74
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Is it possible to construct a matrix norm that uses minimum instead of maximum over a compact convex set?

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#matrix-norms
104
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Matrices are close if and only if null spaces are close

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#linear-algebra #matrices #matrix-norms #spectral-norm
68
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Bounded matrix, matrix norm

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#linear-algebra #matrices #matrix-norms
623
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Matrix Norm Inequalities.

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#linear-algebra #matrices #normed-spaces #matrix-norms
57
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What is the relation between $\|AB\|_1$ and $\|A\|_1 \|B\|_1$?

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#linear-algebra #matrices #matrix-norms

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