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Norm of sum of shifted outer products

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#linear-algebra #matrices #reference-request #spheres #matrix-norms
1k
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Computing the spectral norm of a projection matrix

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#linear-algebra #matrices #projection-matrices #matrix-norms #spectral-norm
569
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Distance between the spans of two matrices

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#linear-algebra #matrices #normed-spaces #projection-matrices #matrix-norms
435
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$2$-norm of a Vandermonde matrix

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#linear-algebra #matrices #inequality #matrix-norms #spectral-norm
752
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Matrix Norm and Euclidean Norm

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#normed-spaces #matrix-norms
71
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Check if the function $h(A) = \lim\limits_{n \to +\infty} \frac{\text{tr}((A^A)^{n+1})}{\text{tr}((A^A)^{n})}$ is a valid matrix norm

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#linear-algebra #matrices #normed-spaces #trace #matrix-norms
68
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Do the two linear operators on $M_n(\mathbb R)$ have the same induced norm on the subspace of symmetric matrices?

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#linear-algebra #abstract-algebra #normed-spaces #matrix-norms #matrix-analysis
458
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Bound on eigenvalues of matrices of the form $XDX^T$

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#matrices #eigenvalues-eigenvectors #matrix-norms
168
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It can happen that the norm 1 of a matrix and the infinite norm are different?

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#linear-algebra #matrices #matrix-calculus #matrix-norms
48
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Deriving an inequality related to an induced matrix norm

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#inequality #proof-writing #matrix-norms
230
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Matrix norm compatible with Euclidean norm that is tighter than Frobenius

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#matrices #reference-request #matrix-norms
4.1k
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Frobenius Norm Inequality; Spectral Radius is smaller than Frobenius Norm

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#linear-algebra #matrices #inequality #matrix-norms #spectral-radius
103
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Number of Solutions to the Problem: Minimize $|| A - Afc^T / c^T f ||^2$ such that $\sum_i c_i = 1$

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#matrix-calculus #lagrange-multiplier #trace #hessian-matrix #matrix-norms
1.1k
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Squared Frobenius norm and orthogonal matrix

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#linear-algebra #matrices #normed-spaces #orthogonal-matrices #matrix-norms
641
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Frobenius Norm Inequality with SVD

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#linear-algebra #numerical-linear-algebra #svd #matrix-norms

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