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Show that $ \kappa_2(A) \leq [\kappa_1(A) \kappa_{\infty} (A)]^{1/2}$

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#condition-number #matrix-norms
413
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Solving numerically a strongly stiff nonlinear ODE system with ill-conditioned Jacobian

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#ordinary-differential-equations #numerical-methods #matlab #nonlinear-system #condition-number
279
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Discretising the Fourier Integral gives a high condition number

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#numerical-methods #fourier-transform #inverse-problems #condition-number
455
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Is the condition number of a 2x2 block symmetric matrix greater than the condition number of its upper left hand block?

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#linear-algebra #matrices #eigenvalues-eigenvectors #block-matrices #condition-number
1k
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Condition number of a matrix-vector product

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#matrices #normed-spaces #condition-number
1.7k
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Use SVD to reduce condition number of matrix

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#svd #python #condition-number
873
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1/Infinite-norm condition number and the QR decomposition

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#linear-algebra #matrices #matrix-decomposition #condition-number #matrix-norms
43
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Prove that $\kappa_F(A) \ge \sqrt{n}$

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#linear-algebra #matrices #condition-number #matrix-norms
530
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Is there a threshold above which a matrix is ill-conditioned?

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#matrices #condition-number
1.9k
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Condition number and $LU$ decomposition

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#matrices #numerical-linear-algebra #matrix-decomposition #condition-number #lu-decomposition
52
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Relation between condition number of two related matrices

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#linear-algebra #matrices #matrix-rank #condition-number
101
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Comparing condition numbers

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#linear-algebra #matrices #condition-number
649
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Why subtracting 1 is considered ill-conditioned?

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#numerical-methods #floating-point #condition-number
317
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Prove this equality about condition numbers $\frac{1}{{\rm cond}(A)_2}=\frac{\lambda}{\|A\|_2}$

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#matrices #condition-number #spectral-norm
3.6k
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Condition number of matrix inversion with respect to spectral norm

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#linear-algebra #matrices #condition-number #spectral-norm

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