Question

Find the condition number for $w\left(a,b\right)=a-\sqrt{a^2-b}$ - Can someone check my solution?

score 22 · Answer 1 · 2020-10-18 22:41:09

22

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Find the condition number for $w\left(a,b\right)=a-\sqrt{a^2-b}$ - Can someone check my solution?

Published on 18 Oct 2020 - 22:41

score 303 · Answer 2 · 2020-10-26 15:39:13

303

Views

Badly Conditioned Matrix Error - Should I concern myself with it?

Published on 26 Oct 2020 - 15:39

score 97 · Answer 3 · 2020-11-28 11:53:52

97

Views

Upper bound for condition number

Published on 28 Nov 2020 - 11:53

score 38 · Answer 4 · 2020-12-01 16:04:18

38

Views

Find the condition number and show its instability

Published on 01 Dec 2020 - 16:04

score 463 · Answer 5 · 2020-12-04 07:40:22

463

Views

Finding the condition number of a matrix $A$, and the values of b such that $A$ is ill-conditioned

Published on 04 Dec 2020 - 7:40

score 57 · Answer 6 · 2020-12-04 20:15:29

57

Views

Proof or reject condition number if square matrix

Published on 04 Dec 2020 - 20:15

score 225 · Answer 7 · 2020-12-09 17:42:13

225

Views

Upper bound on condition number in linear preconditioning

Published on 09 Dec 2020 - 17:42

score 39 · Answer 8 · 2020-12-11 20:35:01

39

Views

Range of values of parameter $\gamma$ in perturbation matrix

Published on 11 Dec 2020 - 20:35

score 101 · Answer 9 · 2020-12-24 19:32:07

101

Views

For any non-singular $A$, $\frac{1}{\kappa(A)}\leq\frac{\|E\|}{\|A\|}$ if $E+A$ is singular

Published on 24 Dec 2020 - 19:32

score 83 · Answer 10 · 2020-12-27 14:40:58

83

Views

Condition number on perturbations cannot cancel $||x||$ in inequality.

Published on 27 Dec 2020 - 14:40

score 360 · Answer 11 · 2020-12-30 21:37:41

360

Views

Condition number for a least square problem

Published on 30 Dec 2020 - 21:37

score 369 · Answer 12 · 2021-01-13 22:38:24

369

Views

Why is an indefinite matrix tough to solve for direct and iterative solvers?

Published on 13 Jan 2021 - 22:38

score 97 · Answer 13 · 2021-01-26 08:59:58

97

Views

Increase numerical stability of a computation

Published on 26 Jan 2021 - 8:59

score 80 · Answer 14 · 2021-02-11 05:39:22

80

Views

Bound on steepest descent

Published on 11 Feb 2021 - 5:39

score 81 · Answer 15 · 2021-02-12 00:24:19

81

Views

Prove that $\frac{1}{K(B)}\frac{\|A-B\|}{\|A\|} \le \frac{\|A^{-1}-B^{-1}\|}{\|B^{-1}\|} \le K(A)\frac{\|B-A\|}{\|A\|}.$

Published on 12 Feb 2021 - 0:24

List Question

Find the condition number for $w\left(a,b\right)=a-\sqrt{a^2-b}$ - Can someone check my solution?

Badly Conditioned Matrix Error - Should I concern myself with it?

Upper bound for condition number

Find the condition number and show its instability

Finding the condition number of a matrix $A$, and the values of b such that $A$ is ill-conditioned

Proof or reject condition number if square matrix

Upper bound on condition number in linear preconditioning

Range of values of parameter $\gamma$ in perturbation matrix

For any non-singular $A$, $\frac{1}{\kappa(A)}\leq\frac{\|E\|}{\|A\|}$ if $E+A$ is singular

Condition number on perturbations cannot cancel $||x||$ in inequality.

Condition number for a least square problem

Why is an indefinite matrix tough to solve for direct and iterative solvers?

Increase numerical stability of a computation

Bound on steepest descent

Prove that $\frac{1}{K(B)}\frac{\|A-B\|}{\|A\|} \le \frac{\|A^{-1}-B^{-1}\|}{\|B^{-1}\|} \le K(A)\frac{\|B-A\|}{\|A\|}.$

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