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Show, for a real, symmetric matrix, that $\| A\|_2^2 \leq \frac{n-1}{n} \|A\|_F^2$.

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#linear-algebra #matrices #inequality #matrix-norms #spectral-norm
1000
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For symmetric $A$, show that $\lVert A \rVert_2 \leq \lVert A \rVert_\infty$

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#linear-algebra #matrices #symmetric-matrices #matrix-norms #spectral-norm
705
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Ratio of largest eigenvalue to largest singular value

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#linear-algebra #matrices #singular-values #spectral-radius #spectral-norm
855
Views

Spectral Norm of block diagonal matrix

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#eigenvalues-eigenvectors #diagonalization #svd #spectral-norm
30
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Are singular values independent of the scalar product?

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#functional-analysis #spectral-theory #spectral-radius #spectral-norm
587
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spectral norm of 2 matrices compared to spectral norm of the difference matrix

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#inequality #matrix-norms #spectral-norm
75
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Bound on the $2$-norm of a matrix with a single entry replaced by $0$

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#matrices #matrix-norms #spectral-norm
674
Views

Proving that spectral norm of vector equals its Euclidean norm with two inequalities

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#convex-optimization #normed-spaces #spectral-norm
434
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Lowest upper bound on matrix norm

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#matrices #upper-lower-bounds #matrix-norms #spectral-norm
192
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Upper bound for conditional expectation of spectral norm

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#probability-theory #conditional-expectation #upper-lower-bounds #spectral-norm
1.2k
Views

Spectral norm - trace inequality

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#matrices #trace #matrix-norms #linear-matrix-inequality #spectral-norm
287
Views

Distance between subspaces and spectral norm

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#linear-algebra #normed-spaces #numerical-linear-algebra #projection #spectral-norm
187
Views

Upper bound on the $2$-norm of inverse of a triangular Toeplitz matrix

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#linear-algebra #matrices #upper-lower-bounds #singular-values #spectral-norm
1.5k
Views

Spectral norm of block-matrix inequalities

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#linear-algebra #matrices #singular-values #matrix-norms #spectral-norm
187
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relation of singular values of A and A+E with spectral norm of E

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#linear-algebra #svd #singular-values #spectral-norm

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