List questions from matrix-analysis

Published on 27 Dec 2021 - 22:52

34

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A and B have identical singular-values and identical eigenvalues, are they unitary similar?

Published on 26 Mar 2026 - 3:11

62

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Divided differences problem in order n.

Published on 19 Jan 2022 - 10:46

68

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What is the relationship between $A^{-1}$, ${\bigwedge}^n A$, and ${\bigwedge}^{n-1} A$?

Published on 26 Jan 2022 - 0:23

179

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Prove the following matrix commute with every matrix

Published on 31 Jan 2022 - 7:42

154

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Spectral norm of matrix restricted to subspace $1^\perp$

Published on 07 Feb 2022 - 8:02

58

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How can I map the matrix monotone to completely monotone function?

Published on 18 Feb 2022 - 8:48

35

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Algebraic relation between symmetric matrix and its principal submatrix?

Published on 02 Mar 2022 - 16:57

39

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Prove that if a function is 2-monotone on $(a, c]$ and $[c, b)$, then it is 2-monotone on $(a, b)$

Published on 05 Mar 2022 - 11:44

134

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What's the singular value of a symmetric matrix plus identy matrix? $A+\lambda I$

Published on 11 Mar 2022 - 9:51

114

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If $AB^∗$ and $B^∗A$ are both normal, show that $B A^∗A = A A^∗B$

Published on 15 Mar 2022 - 16:10

94

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Norm estimate of a special kind of 2-by-2 matrix

Published on 16 Mar 2022 - 7:19

153

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Spectral Radius of a non negative matrix

Published on 22 Mar 2022 - 18:03

360

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Is there a way to calculate the eigenvalues of $xx^T+yy^T$?

Published on 23 Mar 2022 - 7:41

44

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Matrix of logarithmic mean

Published on 01 Apr 2022 - 6:57

List Question

When is $A^TBA$ invertible, where $B$ is an invertible, symmetric matrix?

A and B have identical singular-values and identical eigenvalues, are they unitary similar?

Divided differences problem in order n.

What is the relationship between $A^{-1}$, ${\bigwedge}^n A$, and ${\bigwedge}^{n-1} A$?

Prove the following matrix commute with every matrix

Spectral norm of matrix restricted to subspace $1^\perp$

How can I map the matrix monotone to completely monotone function?

Algebraic relation between symmetric matrix and its principal submatrix?

Prove that if a function is 2-monotone on $(a, c]$ and $[c, b)$, then it is 2-monotone on $(a, b)$

What's the singular value of a symmetric matrix plus identy matrix? $A+\lambda I$

If $AB^∗$ and $B^∗A$ are both normal, show that $B A^∗A = A A^∗B$

Norm estimate of a special kind of 2-by-2 matrix

Spectral Radius of a non negative matrix

Is there a way to calculate the eigenvalues of $xx^T+yy^T$?

Matrix of logarithmic mean

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