List questions from matrix-decomposition

Published on 17 Oct 2018 - 1:41

36

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What can I say about $\mathbf{X}$ if $\mathbf{y}^{\mathrm{T}} \mathbf{X} \mathbf{y} = \mathbf{z}^{\mathrm{T}} \mathbf{X} \mathbf{z}$?

Published on 17 Oct 2018 - 14:02

473

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How to find the $n^{th}$ power of $M\in\mathbb{R}^{m\times m}$, for $M$ symmetric, $m\le 1000$, and $n$ arbitrary?

Published on 25 Mar 2026 - 18:49

103

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Matrix equation of the form $C A C^\intercal = D$

Published on 23 Mar 2026 - 9:03

646

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Directly prove strictly column diagonally dominant matrix is nonsingular using matrix norms

Published on 18 Oct 2018 - 18:50

1.8k

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Singular Value Decomposition of this matrix with a zero singular value

Published on 20 Oct 2018 - 0:04

18.9k

Views

Finding the best rank-one approximation of the matrix $\bf A$

Published on 25 Mar 2026 - 8:43

39

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Obtain unknown matrix from eigendecomposition.

Published on 25 Mar 2026 - 20:52

675

Views

Condition number bound using block LU factorization

Published on 22 Mar 2026 - 20:07

150

Views

Schur factorization from spectral decomposition

Published on 25 Mar 2026 - 0:42

18

Views

How to obtain this equation of hyperspectral image restoration using total variation in the following equation?

Published on 23 Mar 2026 - 5:57

120

Views

Matrix Lower-Rank Factorization for L'L = A?

Published on 30 Oct 2018 - 20:44

1k

Views

LU decomposition of SPD matrix without partial pivoting?

Published on 25 Mar 2026 - 9:34

3.7k

Views

Trying to find QR decomposition of a matrix.

Published on 01 Nov 2018 - 21:49

1.1k

Views

How is full pivoting more stable than partial pivoting

Published on 02 Nov 2018 - 18:38

List Question

If $A$ is positive semidefinite, then $A=USU^T$?

What can I say about $\mathbf{X}$ if $\mathbf{y}^{\mathrm{T}} \mathbf{X} \mathbf{y} = \mathbf{z}^{\mathrm{T}} \mathbf{X} \mathbf{z}$?

How to find the $n^{th}$ power of $M\in\mathbb{R}^{m\times m}$, for $M$ symmetric, $m\le 1000$, and $n$ arbitrary?

Matrix equation of the form $C A C^\intercal = D$

Directly prove strictly column diagonally dominant matrix is nonsingular using matrix norms

Singular Value Decomposition of this matrix with a zero singular value

Finding the best rank-one approximation of the matrix $\bf A$

Obtain unknown matrix from eigendecomposition.

Condition number bound using block LU factorization

Schur factorization from spectral decomposition

How to obtain this equation of hyperspectral image restoration using total variation in the following equation?

Matrix Lower-Rank Factorization for L'L = A?

LU decomposition of SPD matrix without partial pivoting?

Trying to find QR decomposition of a matrix.

How is full pivoting more stable than partial pivoting

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