List questions from condition-number

Published on 15 Jun 2017 - 22:01

1.6k

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Relative error in solution when the matrix is perturbed

Published on 19 Jun 2017 - 18:33

93

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Is $f(x)=(x_1 x_2, x_1^2+x_2^2) $ well-conditioned?

Published on 21 Jun 2017 - 12:11

203

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What linear transformations are singular values and/or condition numbers invariant under?

Published on 23 Jun 2017 - 22:39

121

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$\text{cond}(A)\gt \text{cond}(A+B)$ for $AA^T=I$

Published on 20 Jul 2017 - 16:48

813

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Growth of the condition number of Hilbert matrices

Published on 22 Jul 2017 - 16:44

4.7k

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Matrix condition number and loss of accuracy

Published on 14 Aug 2017 - 7:40

706

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Inverse of high condition number matrices

Published on 21 Aug 2017 - 19:28

316

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If the condition number of a matrix is minimized then the matrix is orthogonalized?

Published on 22 Aug 2017 - 17:06

457

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Why does finer mesh mean worse condition number?

Published on 01 Sep 2017 - 16:13

263

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How to choose two diagonal matrices minimizing the condition number?

Published on 04 Sep 2017 - 15:16

393

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On the conditioning of a Symmetric Toeplitz Matrix

Published on 08 Sep 2017 - 11:06

2.8k

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How to measure how far a matrix is from being singular?

Published on 12 Sep 2017 - 9:01

220

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Give a vector pair $(b,δb)$ for which $\dfrac{\|δx\|_2}{\|x\|_2}=k_2(A)\dfrac{\|δb\|_2}{\|b\|_2}$ holds

Published on 20 Sep 2017 - 10:41

47

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Improving the Condition while keeping the column space

Published on 23 Sep 2017 - 15:21

List Question

How to estimate condition number based on SVD of submatrix?

Relative error in solution when the matrix is perturbed

Is $f(x)=(x_1 x_2, x_1^2+x_2^2) $ well-conditioned?

What linear transformations are singular values and/or condition numbers invariant under?

$\text{cond}(A)\gt \text{cond}(A+B)$ for $AA^T=I$

Growth of the condition number of Hilbert matrices

Matrix condition number and loss of accuracy

Inverse of high condition number matrices

If the condition number of a matrix is minimized then the matrix is orthogonalized?

Why does finer mesh mean worse condition number?

How to choose two diagonal matrices minimizing the condition number?

On the conditioning of a Symmetric Toeplitz Matrix

How to measure how far a matrix is from being singular?

Give a vector pair $(b,δb)$ for which $\dfrac{\|δx\|_2}{\|x\|_2}=k_2(A)\dfrac{\|δb\|_2}{\|b\|_2}$ holds

Improving the Condition while keeping the column space

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