Question

Does singular value decomposition join with $LU$ and $QR$?

score 42 · Answer 1 · 2023-06-29 20:50:46

42

Views

Does singular value decomposition join with $LU$ and $QR$?

Published on 29 Jun 2023 - 20:50

score 35 · Answer 2 · 2026-03-26 01:10:38

35

Views

Derivative of a matrix valued function involving Hadamard product and SVD

Published on 26 Mar 2026 - 1:10

score 59 · Answer 3 · 2026-03-25 17:41:51

59

Views

Is there anything to be said on the inverse of the covariance matrix of a reconstructed matrix using PCA or SVD decomposition?

Published on 25 Mar 2026 - 17:41

score 50 · Answer 4 · 2026-03-26 06:11:01

50

Views

Structure of the solutions of the matricial ODE: $\dot U(t) = -U^2 - BU$.

Published on 26 Mar 2026 - 6:11

score 49 · Answer 5 · 2023-07-06 09:03:38

49

Views

Orthogonal matrix times low-rank-approximation proof

Published on 06 Jul 2023 - 9:03

score 31 · Answer 6 · 2023-07-07 16:31:43

31

Views

Example of an homogeneous matrix of given rank

Published on 07 Jul 2023 - 16:31

score 21 · Answer 7 · 2023-07-10 04:05:13

21

Views

In the space of n*n matrices, for any m<=n can we define the sum of the largest m singular values for a matrix as a norm?

Published on 10 Jul 2023 - 4:05

score 74 · Answer 8 · 2026-03-25 19:11:46

74

Views

Upper bound of biggest singular value of Kronecker Sum via singular values and traces

Published on 25 Mar 2026 - 19:11

score 223 · Answer 9 · 2026-03-25 06:04:54

223

Views

Prove $ \| {\bf A}^2\|_* \leq \operatorname{tr}({\bf A}^\dagger {\bf A})$

Published on 25 Mar 2026 - 6:04

score 48 · Answer 10 · 2026-03-26 01:11:59

48

Views

Given $A \in \Bbb C^{3 \times 3}$ that has a SVD $A=u_1v_1^+u_2v_2^+u_3v_3^*$ then is $A$ a unitary matrix?

Published on 26 Mar 2026 - 1:11

score 41 · Answer 11 · 2026-03-25 09:38:35

41

Views

Singular Value Decomposition as sum of symmetric and anti-symmetric eigenvalues?

Published on 25 Mar 2026 - 9:38

score 600 · Answer 12 · 2023-07-31 00:36:17

600

Views

Why do we rotate twice in SVD decomposition

Published on 31 Jul 2023 - 0:36

score 34 · Answer 13 · 2023-08-01 14:47:40

34

Views

Elements of Statistical Learning SVD

Published on 01 Aug 2023 - 14:47

score 79 · Answer 14 · 2026-03-27 11:48:00

79

Views

Uniqueness of singular vectors (Theorem 4.1 Trefethen & Bau)

Published on 27 Mar 2026 - 11:48

score 32 · Answer 15 · 2023-08-05 16:10:56

32

Views

Right multiplication by matrix with orthonogonal columns and its affect on the smallest singular values

Published on 05 Aug 2023 - 16:10

List Question

Does singular value decomposition join with $LU$ and $QR$?

Derivative of a matrix valued function involving Hadamard product and SVD

Is there anything to be said on the inverse of the covariance matrix of a reconstructed matrix using PCA or SVD decomposition?

Structure of the solutions of the matricial ODE: $\dot U(t) = -U^2 - BU$.

Orthogonal matrix times low-rank-approximation proof

Example of an homogeneous matrix of given rank

In the space of n*n matrices, for any m<=n can we define the sum of the largest m singular values for a matrix as a norm?

Upper bound of biggest singular value of Kronecker Sum via singular values and traces

Prove $ \| {\bf A}^2\|_* \leq \operatorname{tr}({\bf A}^\dagger {\bf A})$

Given $A \in \Bbb C^{3 \times 3}$ that has a SVD $A=u_1v_1^+u_2v_2^+u_3v_3^*$ then is $A$ a unitary matrix?

Singular Value Decomposition as sum of symmetric and anti-symmetric eigenvalues?

Why do we rotate twice in SVD decomposition

Elements of Statistical Learning SVD

Uniqueness of singular vectors (Theorem 4.1 Trefethen & Bau)

Right multiplication by matrix with orthonogonal columns and its affect on the smallest singular values

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