List questions from matrix-analysis

Published on 23 Feb 2026 - 8:21

54

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Uniform convergence under matrix inverse

Published on 04 May 2022 - 10:20

47

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Change of eigenvalues under near orthogonal matrix multiplication

Published on 05 May 2022 - 11:22

898

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Proof that sum of k-eigenvalues is convex

Published on 18 May 2022 - 2:27

45

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Does $\|A^k\| \leq a k^{n-1} \rho^k(A)$ hold?

Published on 11 Jun 2022 - 9:02

46

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Convexity of a special kind of set

Published on 17 Jun 2022 - 11:23

36

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If $T=\begin{bmatrix}x&Y^*\\Y &Z\end{bmatrix}$, $Z\ge 0$ $n\times n$ matrix, $x>0$ and $Y$ is $n\times 1$ vector, $T\ge 0$ iff $Y\in\text{ran }(Z)$

Published on 22 Jun 2022 - 4:34

57

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Property regarding two positive definite matrices

Published on 25 Jun 2022 - 5:52

12

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Convertor matrices

Published on 21 Mar 2026 - 16:07

68

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Bhatia, Ex 7.1.12: Principal angles between subspaces

Published on 05 Jul 2022 - 20:19

861

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Projection onto the Stiefel manifold and the orthogonal Procrustes problem

Published on 25 Mar 2026 - 6:03

42

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The minimal polynomial of a matrix

Published on 26 Jul 2022 - 14:09

110

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The necessary and sufficient constraint of $A$ such that $\text{tr}(A^n)\geq0$?

Published on 06 Aug 2022 - 7:00

64

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Write linear constraints into linear transformation

Published on 25 Aug 2022 - 7:14

141

Views

What is the derivative of a matrix-valued composite function?

Published on 25 Mar 2026 - 9:24

List Question

Weighted least squares formula

Uniform convergence under matrix inverse

Change of eigenvalues under near orthogonal matrix multiplication

Proof that sum of k-eigenvalues is convex

Does $\|A^k\| \leq a k^{n-1} \rho^k(A)$ hold?

Convexity of a special kind of set

If $T=\begin{bmatrix}x&Y^*\\Y &Z\end{bmatrix}$, $Z\ge 0$ $n\times n$ matrix, $x>0$ and $Y$ is $n\times 1$ vector, $T\ge 0$ iff $Y\in\text{ran }(Z)$

Property regarding two positive definite matrices

Convertor matrices

Bhatia, Ex 7.1.12: Principal angles between subspaces

Projection onto the Stiefel manifold and the orthogonal Procrustes problem

The minimal polynomial of a matrix

The necessary and sufficient constraint of $A$ such that $\text{tr}(A^n)\geq0$?

Write linear constraints into linear transformation

What is the derivative of a matrix-valued composite function?

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