Question

If $A \in C^{nxn}$ , $A \ge 0 $ and A is sing., there exists a sequence of matrices $C_k$, that $C_k \ge 0$,$|C_k| = 1$ and trace $AC_k \le 1/k$

score 54 · Answer 1 · 2026-03-26 08:02:25

54

Views

If $A \in C^{nxn}$ , $A \ge 0 $ and A is sing., there exists a sequence of matrices $C_k$, that $C_k \ge 0$,$|C_k| = 1$ and trace $AC_k \le 1/k$

Published on 26 Mar 2026 - 8:02

score 135 · Answer 2 · 2019-04-30 14:56:31

135

Views

Geometric Intuition behind trace and matrix non-commutativity

Published on 30 Apr 2019 - 14:56

score 45 · Answer 3 · 2019-05-09 16:54:07

45

Views

Solutions of $X+X^t=tr(X).A$ in $M_n(K)$, where $A\in M_n(K)$ is given

Published on 09 May 2019 - 16:54

score 85 · Answer 4 · 2019-05-10 08:19:02

85

Views

Solutions of $A^2+A^t=I_n$ in $M_n(\mathbb{R})$

Published on 10 May 2019 - 8:19

score 1.6k · Answer 5 · 2026-03-25 03:18:54

1.6k

Views

Fractional Sobolev Spaces and Trace Theory

Published on 25 Mar 2026 - 3:18

score 170 · Answer 6 · 2026-03-26 18:29:57

170

Views

Every von Neumann algebra admits nontrivial trace

Published on 26 Mar 2026 - 18:29

score 83 · Answer 7 · 2019-05-14 06:58:29

83

Views

$A\in M_{3}(\mathbb{R})$ is a matrix such that $\mbox{ Tr }(A-A^t)^{2n}=0$

Published on 14 May 2019 - 6:58

score 224 · Answer 8 · 2019-05-14 17:15:03

224

Views

Non singular matrices with trace property

Published on 14 May 2019 - 17:15

score 106 · Answer 9 · 2026-03-27 01:47:03

106

Views

What is the the derivatives of the following problem？

Published on 27 Mar 2026 - 1:47

score 100 · Answer 10 · 2026-03-26 06:07:07

100

Views

How to prove concavity of $\textrm{Tr}(\exp(H+\log X))$?

Published on 26 Mar 2026 - 6:07

score 71 · Answer 11 · 2019-05-20 13:04:31

71

Views

Matrix - Linear algebra problem

Published on 20 May 2019 - 13:04

score 257 · Answer 12 · 2026-03-25 01:28:06

257

Views

Gradient of $M \mapsto \mbox{tr} \left( A^{-1} M \right) + \mbox{tr} \left( M^{-1} B \right)$

Published on 25 Mar 2026 - 1:28

score 87 · Answer 13 · 2026-03-26 06:02:53

87

Views

Trace with respect to a variable

Published on 26 Mar 2026 - 6:02

score 78 · Answer 14 · 2019-05-25 00:18:33

78

Views

Differentiation of tr$(AD^{-3\alpha}B)$ with respect to scalar $\alpha$, $D$ is positive diagonal.

Published on 25 May 2019 - 0:18

score 227 · Answer 15 · 2026-03-25 18:45:47

227

Views

On matrices with zero von Neumann entropy

Published on 25 Mar 2026 - 18:45

List Question

If $A \in C^{nxn}$ , $A \ge 0 $ and A is sing., there exists a sequence of matrices $C_k$, that $C_k \ge 0$,$|C_k| = 1$ and trace $AC_k \le 1/k$

Geometric Intuition behind trace and matrix non-commutativity

Solutions of $X+X^t=tr(X).A$ in $M_n(K)$, where $A\in M_n(K)$ is given

Solutions of $A^2+A^t=I_n$ in $M_n(\mathbb{R})$

Fractional Sobolev Spaces and Trace Theory

Every von Neumann algebra admits nontrivial trace

$A\in M_{3}(\mathbb{R})$ is a matrix such that $\mbox{ Tr }(A-A^t)^{2n}=0$

Non singular matrices with trace property

What is the the derivatives of the following problem？

How to prove concavity of $\textrm{Tr}(\exp(H+\log X))$?

Matrix - Linear algebra problem

Gradient of $M \mapsto \mbox{tr} \left( A^{-1} M \right) + \mbox{tr} \left( M^{-1} B \right)$

Trace with respect to a variable

Differentiation of tr$(AD^{-3\alpha}B)$ with respect to scalar $\alpha$, $D$ is positive diagonal.

On matrices with zero von Neumann entropy

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