List questions from matrix-analysis

214

Views

Interpreting "geometric mean" $\exp(\frac{1}{2} \log(P) + \frac{1}{2} \log(Q))$ for singular symmetric matrices $P, Q$

Published on 20 Sep 2022 - 19:58

496

Views

How to prove that generalized Vandermonde matrix is invertible?

Published on 09 Oct 2022 - 16:20

35

Views

Finding a real matrix satisfying certain norm requirements

Published on 12 Oct 2022 - 19:15

457

Views

Is $l_2$ on $\mathbb{R}^n$ the only norm for which it is equal to its dual norm?

Published on 14 Oct 2022 - 16:38

69

Views

Unitary equivalence of two matrices

Published on 19 Oct 2022 - 11:00

37

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preservation of positive semidefiniteness

Published on 25 Oct 2022 - 11:08

60

Views

Eigenvalues of Hessian of Lagrange Function

Published on 05 Nov 2022 - 4:19

100

Views

Is Polar Decomposition Unique?

Published on 13 Nov 2022 - 7:29

93

Views

For any matrices $A$ and $B$ of the same size, show that $\mathrm{Im}(A ,B) = \mathrm{Im}(A) + \mathrm{Im}(B)$.

Published on 21 Nov 2022 - 20:24

93

Views

If $A^*= A$ and $A^m= 0$, then $A= 0$.

Published on 06 Dec 2022 - 7:50

23

Views

Orthonormal Eigenvectors of $C C^{*}$.

Published on 11 Dec 2022 - 2:36

314

Views

Differentiation under the integral sign in higher dimensions

Published on 24 Feb 2026 - 15:26

48

Views

Orthogonal similarity of block real symmetric matrix

Published on 12 Jan 2023 - 14:43

120

Views

ij-element of (A^T)A matrix

Published on 13 Jan 2023 - 6:05

37

Views

Is the derivative of $\pmb x^\top (I+GB)^{-1} (I+GB)^{-\top}\pmb x$ with respect to $B$ a 4th-order tensor?

Published on 14 Jan 2023 - 15:19

List Question

Interpreting "geometric mean" $\exp(\frac{1}{2} \log(P) + \frac{1}{2} \log(Q))$ for singular symmetric matrices $P, Q$

How to prove that generalized Vandermonde matrix is invertible?

Finding a real matrix satisfying certain norm requirements

Is $l_2$ on $\mathbb{R}^n$ the only norm for which it is equal to its dual norm?

Unitary equivalence of two matrices

preservation of positive semidefiniteness

Eigenvalues of Hessian of Lagrange Function

Is Polar Decomposition Unique?

For any matrices $A$ and $B$ of the same size, show that $\mathrm{Im}(A ,B) = \mathrm{Im}(A) + \mathrm{Im}(B)$.

If $A^*= A$ and $A^m= 0$, then $A= 0$.

Orthonormal Eigenvectors of $C C^{*}$.

Differentiation under the integral sign in higher dimensions

Orthogonal similarity of block real symmetric matrix

ij-element of (A^T)A matrix

Is the derivative of $\pmb x^\top (I+GB)^{-1} (I+GB)^{-\top}\pmb x$ with respect to $B$ a 4th-order tensor?

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