List questions from matrix-decomposition

Published on 28 Mar 2026 - 4:35

89

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Core-nilpotent decomposition of $A-\lambda I$ where $\lambda$ is a simple eigenvalue of $A$

Published on 25 Dec 2022 - 0:38

92

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The choice of eigenvectors in the SVD

Published on 30 Dec 2022 - 4:02

79

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How to efficiently compute an SVD decomposition with a generalized orthonormal condition?

Published on 02 Apr 2026 - 12:58

55

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Can the following linear system be solved in quadratic time?

Published on 01 Jan 2023 - 2:32

356

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Decomposition of hermitian matrix as difference of positive semidefinite matrices

Published on 27 Mar 2026 - 7:14

324

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Reducing a Hermitian tridiagonal matrix to real symmetric tridiagonal form

Published on 04 Jan 2023 - 14:34

73

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Continuity of the thin QR factorization.

Published on 07 Apr 2026 - 8:31

62

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Local continuous choice of basis for $\text{col}(A)^\perp$

Published on 07 Apr 2026 - 8:33

45

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Is there any analytical solution for minimizing $\|K - Q\|_F^2$ subject to $0 \preceq K \preceq R$?

Published on 09 Jan 2023 - 2:27

231

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Prove $\det((AB)^{n}-(BA)^{n})$ is a perfect cube.

Published on 26 Mar 2026 - 4:52

59

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Maximization on trace of quadratic and linear terms under orthonormal constraints

Published on 12 Jan 2023 - 14:37

114

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Normal Form of Linear Maps Between Matrices

Published on 15 Jan 2023 - 12:59

96

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Decompose the identity matrix into several projection matrices. Prove the range of $P_j$ is the subset of the kernel of $P_i$

Published on 02 Apr 2026 - 10:10

69

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What is this matrix decomposition, and is it useful for solving least square problems?

Published on 02 Apr 2026 - 12:57

List Question

Show that $\det(AB-BA) × \det(AC-CA) \geq 0$ if $A^2 = -BC$

Core-nilpotent decomposition of $A-\lambda I$ where $\lambda$ is a simple eigenvalue of $A$

The choice of eigenvectors in the SVD

How to efficiently compute an SVD decomposition with a generalized orthonormal condition?

Can the following linear system be solved in quadratic time?

Decomposition of hermitian matrix as difference of positive semidefinite matrices

Reducing a Hermitian tridiagonal matrix to real symmetric tridiagonal form

Continuity of the thin QR factorization.

Local continuous choice of basis for $\text{col}(A)^\perp$

Is there any analytical solution for minimizing $\|K - Q\|_F^2$ subject to $0 \preceq K \preceq R$?

Prove $\det((AB)^{n}-(BA)^{n})$ is a perfect cube.

Maximization on trace of quadratic and linear terms under orthonormal constraints

Normal Form of Linear Maps Between Matrices

Decompose the identity matrix into several projection matrices. Prove the range of $P_j$ is the subset of the kernel of $P_i$

What is this matrix decomposition, and is it useful for solving least square problems?

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