List questions from condition-number

Published on 18 Mar 2019 - 6:58

412

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Solving numerically a strongly stiff nonlinear ODE system with ill-conditioned Jacobian

Published on 10 Apr 2019 - 15:16

278

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Discretising the Fourier Integral gives a high condition number

Published on 25 Apr 2019 - 11:42

453

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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?

Published on 10 May 2019 - 19:05

1k

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Condition number of a matrix-vector product

Published on 25 May 2019 - 19:26

1.7k

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Use SVD to reduce condition number of matrix

Published on 26 May 2019 - 11:07

872

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1/Infinite-norm condition number and the QR decomposition

Published on 03 Jun 2019 - 13:47

42

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Prove that $\kappa_F(A) \ge \sqrt{n}$

Published on 06 Jun 2019 - 9:21

529

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Is there a threshold above which a matrix is ill-conditioned?

Published on 04 Jul 2019 - 3:34

1.9k

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Condition number and $LU$ decomposition

Published on 31 Jul 2019 - 14:01

51

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Relation between condition number of two related matrices

Published on 04 Aug 2019 - 20:49

98

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Comparing condition numbers

Published on 18 Aug 2019 - 10:40

647

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Why subtracting 1 is considered ill-conditioned?

Published on 29 Aug 2019 - 3:08

316

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Prove this equality about condition numbers $\frac{1}{{\rm cond}(A)_2}=\frac{\lambda}{\|A\|_2}$

Published on 25 Mar 2026 - 1:23

3.6k

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Condition number of matrix inversion with respect to spectral norm

Published on 25 Mar 2026 - 3:07

List Question

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

Solving numerically a strongly stiff nonlinear ODE system with ill-conditioned Jacobian

Discretising the Fourier Integral gives a high condition number

Is the condition number of a 2x2 block symmetric matrix greater than the condition number of its upper left hand block?

Condition number of a matrix-vector product

Use SVD to reduce condition number of matrix

1/Infinite-norm condition number and the QR decomposition

Prove that $\kappa_F(A) \ge \sqrt{n}$

Is there a threshold above which a matrix is ill-conditioned?

Condition number and $LU$ decomposition

Relation between condition number of two related matrices

Comparing condition numbers

Why subtracting 1 is considered ill-conditioned?

Prove this equality about condition numbers $\frac{1}{{\rm cond}(A)_2}=\frac{\lambda}{\|A\|_2}$

Condition number of matrix inversion with respect to spectral norm

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