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how to show inverse of M-by-N data matrix using singular value decomposition?

score 79 · Answer 1 · 2026-03-26 16:05:11

79

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how to show inverse of M-by-N data matrix using singular value decomposition?

Published on 26 Mar 2026 - 16:05

score 126 · Answer 2 · 2022-07-29 11:23:46

126

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Can we identify if there are any negative off-diagonal elements in $D=BA^TCAB$?

Published on 29 Jul 2022 - 11:23

score 28 · Answer 3 · 2022-08-04 06:37:55

28

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Sampling error in SVD

Published on 04 Aug 2022 - 6:37

score 54 · Answer 4 · 2022-08-06 03:21:05

54

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Let $U,V\in M_n$ be unitary, then there are unitary $X,Y,D\in M_n$, with $D$ diagonal, s.t. $U = XDY, V= Y^DX^$.

Published on 06 Aug 2022 - 3:21

score 89 · Answer 5 · 2022-08-16 17:07:38

89

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Question about the economy svd?

Published on 16 Aug 2022 - 17:07

score 29 · Answer 6 · 2022-08-22 02:55:05

29

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How to determine the shift in algorithm Golub-Kahan setp SVD for a complex matrix?

Published on 22 Aug 2022 - 2:55

score 61 · Answer 7 · 2026-03-26 04:53:39

61

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Proof that $\Delta A := -\sigma_n u_n {v^T}_n$ is the smallest possible perturbation such that $A + \Delta A$ is singular.

Published on 26 Mar 2026 - 4:53

score 352 · Answer 8 · 2022-08-27 11:54:47

352

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What are the singular values of Jordan blocks?

Published on 27 Aug 2022 - 11:54

score 41 · Answer 9 · 2022-08-28 17:18:04

41

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Are the eigenvectors of an image the same, even if the object inside the image change location?

Published on 28 Aug 2022 - 17:18

score 190 · Answer 10 · 2022-08-28 18:13:41

190

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How to decompose linear transformation into "lerp-able" products of rotation and scaling transforms?

Published on 28 Aug 2022 - 18:13

score 288 · Answer 11 · 2026-03-28 11:03:41

288

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Singular value of block matrix and its submatrix

Published on 28 Mar 2026 - 11:03

score 105 · Answer 12 · 2022-09-01 23:05:50

105

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How can I prove this SVD inequality?

Published on 01 Sep 2022 - 23:05

score 31 · Answer 13 · 2026-03-26 09:41:05

31

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Can you use EVD, SVD, PCA to solve least squares? (Intuitive Understanding)

Published on 26 Mar 2026 - 9:41

score 72 · Answer 14 · 2026-03-28 05:23:21

72

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SVD of matrix and SVD of its transpose: U and V exchange places

Published on 28 Mar 2026 - 5:23

score 67 · Answer 15 · 2022-09-09 11:26:31

67

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Is there a way to break down or approximate an $m \times n$ matrix into a product of $m \times k$, $k \times k$ and $k \times n$ matrices?

Published on 09 Sep 2022 - 11:26

List Question

how to show inverse of M-by-N data matrix using singular value decomposition?

Can we identify if there are any negative off-diagonal elements in $D=BA^TCAB$?

Sampling error in SVD

Let $U,V\in M_n$ be unitary, then there are unitary $X,Y,D\in M_n$, with $D$ diagonal, s.t. $U = XDY, V= Y^DX^$.

Question about the economy svd?

How to determine the shift in algorithm Golub-Kahan setp SVD for a complex matrix?

Proof that $\Delta A := -\sigma_n u_n {v^T}_n$ is the smallest possible perturbation such that $A + \Delta A$ is singular.

What are the singular values of Jordan blocks?

Are the eigenvectors of an image the same, even if the object inside the image change location?

How to decompose linear transformation into "lerp-able" products of rotation and scaling transforms?

Singular value of block matrix and its submatrix

How can I prove this SVD inequality?

Can you use EVD, SVD, PCA to solve least squares? (Intuitive Understanding)

SVD of matrix and SVD of its transpose: U and V exchange places

Is there a way to break down or approximate an $m \times n$ matrix into a product of $m \times k$, $k \times k$ and $k \times n$ matrices?

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