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What is the condition number of an ellipsoid?

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#matrices #eigenvalues-eigenvectors #convex-optimization #condition-number #ellipsoids
212
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How to prove the condition number $\kappa(P) = n$?

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#linear-algebra #matrices #matrix-decomposition #condition-number
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condition number and singular values

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#numerical-linear-algebra #condition-number
37
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Cond(PA)=Cond(A)

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#numerical-methods #matrix-norms #condition-number
192
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Condition number for the sum of two numbers

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#numerical-methods #numerical-linear-algebra #floating-point #condition-number
205
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Condition number of block matrix

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#linear-algebra #matrices #numerical-linear-algebra #svd #condition-number
83
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Prove that the condition number $c(A^k) \leq c(A)^k$ for every positive integer $k$ and invertible matrix A.

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#linear-algebra #condition-number
166
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Eigenvalue and spectral condition

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#linear-algebra #matrices #inequality #eigenvalues-eigenvectors #condition-number
309
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Relative Condition Number of Atan(x) vs Atan2(y,x)

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#numerical-methods #perturbation-theory #condition-number
59
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Finding "more dependent" columns of an ill-conditioned square matrix

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#linear-algebra #vector-spaces #matrix-decomposition #matrix-rank #condition-number
204
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Prove that $\kappa (A) = \sup\Big\{ \frac{||Ax||}{||Ay||},\ ||x|| = ||y||\Big\}$.

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#linear-algebra #matrices #numerical-methods #matrix-norms #condition-number
171
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Estimate the condition number in the second norm of the matrix An

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#numerical-methods #condition-number
238
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Is there any similar concept to condition number for singular matrices?

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#linear-algebra #condition-number
61
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Best algorithm to calculate the condition number of a matrix

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#numerical-methods #soft-question #numerical-linear-algebra #condition-number
60
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Proof that $\Delta A := -\sigma_n u_n {v^T}_n$ is the smallest possible perturbation such that $A + \Delta A$ is singular.

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#linear-algebra #svd #singular-values #condition-number

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