Question

How to prove polar decomposition of $A$ using singular value decomposition?

score 722 · Answer 1 · 2015-09-23 20:18:40

722

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How to prove polar decomposition of $A$ using singular value decomposition?

Published on 23 Sep 2015 - 20:18

score 360 · Answer 2 · 2015-09-23 23:35:33

360

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Trying to understand step in proof about minimizing ||Ax|| subject to ||x|| = 1

Published on 23 Sep 2015 - 23:35

score 6.9k · Answer 3 · 2015-09-24 20:19:02

6.9k

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Geometrical interpretations of SVD

Published on 24 Sep 2015 - 20:19

score 554 · Answer 4 · 2015-10-05 12:19:54

554

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Extracting information from Singular Value Decomposition.

Published on 05 Oct 2015 - 12:19

score 118 · Answer 5 · 2015-10-05 23:45:19

118

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Can we predict the number of non-zero singular values in this case?

Published on 05 Oct 2015 - 23:45

score 244 · Answer 6 · 2015-10-08 16:55:56

244

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Is there an iterative procedure that pushes the singular values of a matrix toward unity?

Published on 08 Oct 2015 - 16:55

score 185 · Answer 7 · 2015-10-09 20:00:09

185

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What is the SVD of $ab^T+ba^T$?

Published on 09 Oct 2015 - 20:00

score 309 · Answer 8 · 2026-03-27 02:03:20

309

Views

Matrix values increasing after SVD, singular value decomposition

Published on 27 Mar 2026 - 2:03

score 205 · Answer 9 · 2026-03-27 02:36:44

205

Views

Computing columns of a pseudo-inverse

Published on 27 Mar 2026 - 2:36

score 1k · Answer 10 · 2026-03-28 03:13:59

1k

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Orthogonal projectors and SVD

Published on 28 Mar 2026 - 3:13

score 147 · Answer 11 · 2015-10-22 16:33:44

147

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Why are the ordered singular values of $A^{−1}$ given by $\sigma _n^{ - 1} \ge ..... \ge \sigma _1^{ - 1}$?

Published on 22 Oct 2015 - 16:33

score 2.4k · Answer 12 · 2026-03-13 22:36:28

2.4k

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How to calculate the single value decomposition. when eigenvalue=0?

Published on 13 Mar 2026 - 22:36

score 391 · Answer 13 · 2015-10-27 10:30:19

391

Views

Why is the transformation not unique if eigen values are repeated or zero

Published on 27 Oct 2015 - 10:30

score 21 · Answer 14 · 2015-11-03 15:26:46

21

Views

Comparing the orders of complexity.

Published on 03 Nov 2015 - 15:26

score 895 · Answer 15 · 2015-11-09 12:24:40

895

Views

Effect of the Tikhonov regularization on the Least Squares solution.

Published on 09 Nov 2015 - 12:24

List Question

How to prove polar decomposition of $A$ using singular value decomposition?

Trying to understand step in proof about minimizing ||Ax|| subject to ||x|| = 1

Geometrical interpretations of SVD

Extracting information from Singular Value Decomposition.

Can we predict the number of non-zero singular values in this case?

Is there an iterative procedure that pushes the singular values of a matrix toward unity?

What is the SVD of $ab^T+ba^T$?

Matrix values increasing after SVD, singular value decomposition

Computing columns of a pseudo-inverse

Orthogonal projectors and SVD

Why are the ordered singular values of $A^{−1}$ given by $\sigma _n^{ - 1} \ge ..... \ge \sigma _1^{ - 1}$?

How to calculate the single value decomposition. when eigenvalue=0?

Why is the transformation not unique if eigen values are repeated or zero

Comparing the orders of complexity.

Effect of the Tikhonov regularization on the Least Squares solution.

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