List questions from symmetric-matrices

58

Views

For symmetric definite matrix $A$ and $B$, prove that $k(A+B)\le \max(k(A),k(B))$ where $k(X)$ is the condition number of $X$

Published on 31 Oct 2019 - 2:35

135

Views

On the properties of product of two symmetric PSD matrices

Published on 31 Oct 2019 - 14:02

30

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representation problem of rotation transformations given eigenvalues

Published on 01 Nov 2019 - 6:27

975

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Trace of power of a square real matrix

Published on 26 Mar 2026 - 2:55

22

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$\mathbb{PR}^n$ differomorph to a submanifold of $\mathbb{R}^{(n+1)^2}$ describing matrices

Published on 27 Mar 2026 - 16:24

1.6k

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how to make a symmetric positive definite matrix given a random matrix A

Published on 26 Mar 2026 - 22:13

68

Views

If $A,B$ are positive definite, then $\sum a_{ij}b_{ij}\geq 0$

Published on 27 Mar 2026 - 0:05

34

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Properties for two non - similar matrices

Published on 06 Nov 2019 - 13:12

218

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Inverse of a sparse tridiagonal Toeplitz matrix

Published on 25 Mar 2026 - 3:34

62

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Finding a symmetric matrix E such that the approx eigenpair for A is the exact eigenpair for A+E

Published on 07 Nov 2019 - 12:52

109

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Eigenvalues of Grammian matrix

Published on 08 Nov 2019 - 2:43

156

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Is the this Hankel matrix positive semi-definite?

Published on 27 Mar 2026 - 1:44

559

Views

Let $M$ be a symmetric and positive definite block matrix. Prove that the matrix $D$, an element of $M$ is symmetric and positive definite

Published on 26 Mar 2026 - 4:35

161

Views

Uniqueness of the ellipsoid representation

Published on 27 Mar 2026 - 15:13

311

Views

Symmetric normalised Laplacian matrix

Published on 11 Nov 2019 - 12:53

List Question

For symmetric definite matrix $A$ and $B$, prove that $k(A+B)\le \max(k(A),k(B))$ where $k(X)$ is the condition number of $X$

On the properties of product of two symmetric PSD matrices

representation problem of rotation transformations given eigenvalues

Trace of power of a square real matrix

$\mathbb{PR}^n$ differomorph to a submanifold of $\mathbb{R}^{(n+1)^2}$ describing matrices

how to make a symmetric positive definite matrix given a random matrix A

If $A,B$ are positive definite, then $\sum a_{ij}b_{ij}\geq 0$

Properties for two non - similar matrices

Inverse of a sparse tridiagonal Toeplitz matrix

Finding a symmetric matrix E such that the approx eigenpair for A is the exact eigenpair for A+E

Eigenvalues of Grammian matrix

Is the this Hankel matrix positive semi-definite?

Let $M$ be a symmetric and positive definite block matrix. Prove that the matrix $D$, an element of $M$ is symmetric and positive definite

Uniqueness of the ellipsoid representation

Symmetric normalised Laplacian matrix

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