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15
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$\lim_{k\to\infty} X^{(k)}=A^{-1}$ if and only if $ρ(I − AX^{(0)}) < 1$

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#linear-algebra #numerical-methods #spectral-radius
114
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Spectral radius of a matrix in a Banach algebra

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#functional-analysis #operator-algebras #spectral-theory #banach-algebras #spectral-radius
50
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Numerical radius of diagonal matrix.

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#functional-analysis #diagonalization #spectral-radius
441
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Question about spectral radius of a positive matrix

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#matrices #eigenvalues-eigenvectors #spectral-radius #spectral-norm #positive-matrices
174
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Better bounds on Perron Root

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#linear-algebra #matrices #eigenvalues-eigenvectors #upper-lower-bounds #spectral-radius
416
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Spectral radius greater than 1

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#linear-algebra #numerical-linear-algebra #numerical-calculus #spectral-radius
194
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If $I - A$ is invertible, is $\rho(A) < 1$?

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#linear-algebra #matrices #inverse #spectral-radius
560
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Submultiplicity of matrix norm from the spectral radius $ + \epsilon$

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#linear-algebra #matrix-norms #spectral-radius
244
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Find a matrix M for an iterative method with spectral radius greater than 1

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#linear-algebra #matrices #convergence-divergence #numerical-methods #spectral-radius
388
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Complexity of computing the spectral radius of a non-symmetric square matrix

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#matrices #asymptotics #computational-complexity #numerical-linear-algebra #spectral-radius
549
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Calculate the spectral radius of a matrix with two parameters

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#eigenvalues-eigenvectors #spectral-radius
380
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Spectral Radius of element wise absolute function of a Matrix

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#matrices #eigenvalues-eigenvectors #spectral-radius
98
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Comparison of the largest eigenvalues of two symmetric matrices

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#matrices #spectral-radius
129
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Why doesn't the inverse of this matrix always exist?

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#matrices #inverse #spectral-radius #nonnegative-matrices
33
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Is $\rho(AB) \leq \rho(A)\rho(B)$ if $A, B$ are forward & backward Gauss-Siedel iteration matrix?

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#matrices #solution-verification #spectral-radius

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