Question

Prove that condition number of a matrix increases in its dimension

score 280 · Answer 1 · 2023-06-26 13:22:23

280

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Prove that condition number of a matrix increases in its dimension

Published on 26 Jun 2023 - 13:22

score 47 · Answer 2 · 2023-07-08 11:34:25

47

Views

How to compute the condition number for non-linear systems?

Published on 08 Jul 2023 - 11:34

score 47 · Answer 3 · 2023-08-21 14:59:26

47

Views

Condition number for non-negative least squares

Published on 21 Aug 2023 - 14:59

score 89 · Answer 4 · 2023-10-06 07:05:47

89

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Build matrix from existing vectors such that condition number of matrix is minimal

Published on 06 Oct 2023 - 7:05

score 74 · Answer 5 · 2023-10-14 19:58:30

74

Views

Evaluate $f(x)=(1−\cos(x))/x$ for arguments $0<x≪1$

Published on 14 Oct 2023 - 19:58

score 26 · Answer 6 · 2023-10-16 17:02:46

26

Views

Adding random noise to an ill-posed problem

Published on 16 Oct 2023 - 17:02

score 46 · Answer 7 · 2023-10-24 14:29:58

46

Views

Prove that the condition number of the stiffness matrix in Laplace equation is bounded by $h^{-2}$

Published on 24 Oct 2023 - 14:29

score 38 · Answer 8 · 2024-01-09 15:55:09

38

Views

Quantity reflecting ratio of largest vector element to smallest vector element

Published on 09 Jan 2024 - 15:55

score 20 · Answer 9 · 2024-01-18 20:59:28

20

Views

Show that if $A \mathbf{x} = \mathbf{b}$, then $\text{cond}_p(\mathbf{A}) \geq \frac{\|A\|_p\|x\|_p}{\|b\|_p}$

Published on 18 Jan 2024 - 20:59

score 42 · Answer 10 · 2024-01-25 16:14:50

42

Views

Uncertainty Principle in Kernel-based Interpolation

Published on 25 Jan 2024 - 16:14

score 17 · Answer 11 · 2026-03-13 09:09:29

17

Views

How to approximate the condition number of a matrix using its component

Published on 13 Mar 2026 - 9:09

score 11 · Answer 12 · 2026-03-23 16:11:34

11

Views

Are there any numerically stable methods for computing the condition number of a near-singular matrix that are fast?

Published on 23 Mar 2026 - 16:11

score 26 · Answer 13 · 2024-03-15 13:52:33

26

Views

Can the computation of condition numbers be written in functional form？

Published on 15 Mar 2024 - 13:52

score 39 · Answer 14 · 2024-03-17 13:14:05

39

Views

Derivative of 2-norm of a matrix.

Published on 17 Mar 2024 - 13:14

score 10 · Answer 15 · 2026-03-16 05:40:01

10

Views

The definition of the conditional number for a matrix

Published on 16 Mar 2026 - 5:40

List Question

Prove that condition number of a matrix increases in its dimension

How to compute the condition number for non-linear systems?

Condition number for non-negative least squares

Build matrix from existing vectors such that condition number of matrix is minimal

Evaluate $f(x)=(1−\cos(x))/x$ for arguments $0<x≪1$

Adding random noise to an ill-posed problem

Prove that the condition number of the stiffness matrix in Laplace equation is bounded by $h^{-2}$

Quantity reflecting ratio of largest vector element to smallest vector element

Show that if $A \mathbf{x} = \mathbf{b}$, then $\text{cond}_p(\mathbf{A}) \geq \frac{\|A\|_p\|x\|_p}{\|b\|_p}$

Uncertainty Principle in Kernel-based Interpolation

How to approximate the condition number of a matrix using its component

Are there any numerically stable methods for computing the condition number of a near-singular matrix that are fast?

Can the computation of condition numbers be written in functional form？

Derivative of 2-norm of a matrix.

The definition of the conditional number for a matrix

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