List questions from matrix-decomposition

Published on 05 Apr 2026 - 23:51

103

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Moore-Penrose g-inverse question

Published on 13 Sep 2022 - 18:03

113

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Let $A\in M_n(\Bbb{C})$, show that there exists unique partial isometry $V$ such that $A=VP$ for some positive $P$ and rank$(A)=$rank$(V)$

Published on 31 Mar 2026 - 18:21

48

Views

How to find two small matrices $M_1$ and $M_2$ such that $M_1 M_2 A \approx M A$?

Published on 26 Mar 2026 - 9:42

76

Views

Is any matrix a sum of a scalar matrix and traceless matrix in the case of nonzero characteristic of the underlying field

Published on 24 Sep 2022 - 8:48

164

Views

General method to find basis for null space of a matrix

Published on 27 Sep 2022 - 15:45

47

Views

Create correlated random numbers with specified mean and standard deviation

Published on 25 Mar 2026 - 23:36

73

Views

Can a certain matrix $A$ be diagonalized by a rotation matrix?

Published on 07 Apr 2026 - 14:38

41

Views

Task , given matrices, it is necessary to make the matrices "F" and "G" according to the scheme

Published on 26 Mar 2026 - 1:34

96

Views

Let $A\in M_3(\mathbb{R})$ be a non-null matrix such as $A^3=-A$. Show that $A$ is similar to the matrix $P$

Published on 26 Mar 2026 - 6:34

40

Views

Eigenvalues of $A+P^{-1} \alpha A P$ where A is a diagonal matrix

Published on 29 Sep 2022 - 19:29

120

Views

Numerical stability of a matrix inversion problem

Published on 30 Sep 2022 - 3:27

81

Views

LDU and principal minors of symmetric positive definite matrix

Published on 25 Mar 2026 - 20:36

97

Views

Arnoldi decomposition/ algorithm: Uniqueness

Published on 26 Mar 2026 - 12:42

58

Views

Using Fitting's decomposition theorem on modules directly in calculation

Published on 04 Oct 2022 - 21:02

List Question

Gradient of QZ decomposition

Moore-Penrose g-inverse question

Let $A\in M_n(\Bbb{C})$, show that there exists unique partial isometry $V$ such that $A=VP$ for some positive $P$ and rank$(A)=$rank$(V)$

How to find two small matrices $M_1$ and $M_2$ such that $M_1 M_2 A \approx M A$?

Is any matrix a sum of a scalar matrix and traceless matrix in the case of nonzero characteristic of the underlying field

General method to find basis for null space of a matrix

Create correlated random numbers with specified mean and standard deviation

Can a certain matrix $A$ be diagonalized by a rotation matrix?

Task , given matrices, it is necessary to make the matrices "F" and "G" according to the scheme

Let $A\in M_3(\mathbb{R})$ be a non-null matrix such as $A^3=-A$. Show that $A$ is similar to the matrix $P$

Eigenvalues of $A+P^{-1} \alpha A P$ where A is a diagonal matrix

Numerical stability of a matrix inversion problem

LDU and principal minors of symmetric positive definite matrix

Arnoldi decomposition/ algorithm: Uniqueness

Using Fitting's decomposition theorem on modules directly in calculation

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