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Spectral radius inequality for non-abelian Banach algebras

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#spectral-theory #algebras #spectral-radius
214
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Prove or disprove that $\rho(A) = \| A \|_2$ for any real symmetric matrix $A$

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#linear-algebra #matrices #normed-spaces #symmetric-matrices #spectral-radius
645
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Spectral radius Volterra operator with an arbitrary kernel from $L^2$

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#functional-analysis #operator-theory #spectral-theory #spectral-radius
459
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Proof of spectral radius bound $\min_i \sum_j a_{ij} \le \rho(A) \le \max_i \sum_j a_{ij}$

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#matrices #eigenvalues-eigenvectors #spectral-radius
243
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Spectral norm of block and square matrices

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#matrices #eigenvalues-eigenvectors #singular-values #spectral-radius
73
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if $||AB||_\infty<1$ is I-AB is positive definite ? provided A,B are symmetric and A+B is positive definite

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#linear-algebra #positive-definite #symmetric-matrices #spectral-radius
322
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Square of spectral radius and Frobenius norm

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#linear-algebra #matrices #eigenvalues-eigenvectors #normed-spaces #spectral-radius
1.4k
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Upper bound on the spectral radius of summation of two matrices one symmetric one diagonal

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#eigenvalues-eigenvectors #upper-lower-bounds #spectral-radius
126
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Spectral radius of a matrix

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#matrices #normed-spaces #spectral-radius
3.4k
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Gradient of largest eigenvalue of matrix, with respect to individual elements of the matrix

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#multivariable-calculus #eigenvalues-eigenvectors #vector-analysis #matrix-calculus #spectral-radius
1.3k
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What is the maximum expected eigenvalue of an $n \times n$ symmetric matrix?

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#linear-algebra #matrices #eigenvalues-eigenvectors #random-matrices #spectral-radius
348
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Spectral radius of a complete bipartite graph

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#matrices #eigenvalues-eigenvectors #spectral-graph-theory #adjacency-matrix #spectral-radius
355
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Spectral radius of a complete tripartite graph

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#matrices #graph-theory #spectral-graph-theory #spectral-radius #adjacency-matrix
56
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Are Cycles good expanders???

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#spectral-graph-theory #network #spectral-radius
162
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The spectral radius is a norm

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#functional-analysis #normed-spaces #banach-algebras #spectral-radius

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