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Taylor expansion of Frobenius Norm

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#linear-algebra #multivariable-calculus #taylor-expansion #matrix-calculus #matrix-norms
529
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Second order Taylor expansion of Frobenius norm

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#matrices #taylor-expansion #matrix-calculus #matrix-norms #matrix-analysis
755
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Lipschitz condition for Frobenius norm for Complex matrices

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#complex-analysis #numerical-methods #taylor-expansion #matrix-calculus #matrix-norms
71
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A question on Matrix Norms

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#linear-algebra #matrices #normed-spaces #matrix-norms
350
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Trace of matrix $A^{\ast}A$

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#linear-algebra #matrices #trace #matrix-norms
1.5k
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Invariance of a matrix norm induced by 2-norm under the operation of a matrix with orthonormal rows

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#linear-algebra #matrices #normed-spaces #matrix-norms
50
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Let $Q,P$ be square row stochastic matrices with nonnegative real eigenvalues. Is $ || (2Q-I)(2P-I)||_\infty \leq 3 $?

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#matrices #matrix-norms #matrix-analysis
1.4k
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Show that the 2-norm of row matrix A is equal to the 2-norm of a vector (a) consisting of the same entries

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#linear-algebra #vectors #cauchy-schwarz-inequality #matrix-norms
193
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Subgradient of Ky Fan norm

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#convex-analysis #convex-optimization #normed-spaces #subgradient #matrix-norms
1.5k
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The Frobenius norm is not an operator norm

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#matrices #normed-spaces #matrix-norms
2.6k
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Upper bound for the norm of a matrix inverse

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#matrices #inverse #matrix-norms #spectral-norm
24
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Inequality condition for induced norms of iterative matrices

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#linear-algebra #cauchy-schwarz-inequality #matrix-norms
225
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Subgradient of function $f_p(\mathbf{A})$ that has as output the $p^{th}$ largest singular value

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#convex-analysis #convex-optimization #matrix-norms #matrix-analysis
2.9k
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Why is the $L_{2, 1} $ norm not smooth?

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#normed-spaces #convex-optimization #matrix-norms
3.5k
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Norm of symmetric positive semidefinite matrices

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#linear-algebra #matrices #normed-spaces #matrix-norms #spectral-norm

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