Question

Trace inequality of Hadmard product

score 95 · Answer 1 · 2026-03-25 22:03:45

95

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Trace inequality of Hadmard product

Published on 25 Mar 2026 - 22:03

score 160 · Answer 2 · 2023-02-16 01:29:45

160

Views

Largest $k$ such that $k \operatorname{Tr} H^2 C \le (\operatorname{Tr} H C)^2$

Published on 16 Feb 2023 - 1:29

score 62 · Answer 3 · 2023-02-17 01:42:24

62

Views

Asymptotics of traces of powers of Gaussian kernel on bounded domains (ball)

Published on 17 Feb 2023 - 1:42

score 125 · Answer 4 · 2026-03-27 10:45:48

125

Views

Smallest constant $C$ to bound $\mathbb{E}[\mathrm{tr}((\overline{X}_n + I)^{-1})] \leq C~\mathrm{tr}((\mathbb{E}[X] + I)^{-1})$?

Published on 27 Mar 2026 - 10:45

score 118 · Answer 5 · 2026-03-26 01:14:46

118

Views

Simplify ${\rm trace}((A_1⊗A_2+B_1⊗B_2)^{-1})$

Published on 26 Mar 2026 - 1:14

score 58 · Answer 6 · 2023-02-27 14:07:54

58

Views

Derivative of the function of a trace with respect to a vector

Published on 27 Feb 2023 - 14:07

score 40 · Answer 7 · 2023-03-02 07:22:16

40

Views

Minimize $\operatorname{tr} \left(X^T L X \right)$ subject to inequality constraints

Published on 02 Mar 2023 - 7:22

score 40 · Answer 8 · 2023-03-02 19:59:07

40

Views

Solving a matrix equation involving trace and determinant

Published on 02 Mar 2023 - 19:59

score 192 · Answer 9 · 2026-03-25 15:43:42

192

Views

Gradient of $X \mapsto \mbox{tr} \left(BXCX^TB^TBXCX^TB^T\right)$

Published on 25 Mar 2026 - 15:43

score 98 · Answer 10 · 2026-03-26 06:30:54

98

Views

prove that ${\rm tr}(\sqrt{\sqrt{AA^T}BB^T\sqrt{AA^T}})={\rm tr}(\sqrt{B^TAA^TB})$

Published on 26 Mar 2026 - 6:30

score 34 · Answer 11 · 2026-03-25 17:22:51

34

Views

Differential of the Trace for functions applied to unbounded self-adjoint operators

Published on 25 Mar 2026 - 17:22

score 325 · Answer 12 · 2023-03-17 18:01:52

325

Views

Is the trace of a constant simply that constant?

Published on 17 Mar 2023 - 18:01

score 23 · Answer 13 · 2023-03-21 19:38:30

23

Views

What is the trace of the second tensor component?

Published on 21 Mar 2023 - 19:38

score 53 · Answer 14 · 2023-03-24 13:36:51

53

Views

Show that there exists a $λ ∈ K$ such that $l(A) = λtrace(A)$ for all $A ∈ Mat_{n,n}(K)$

Published on 24 Mar 2023 - 13:36

score 67 · Answer 15 · 2023-03-29 20:45:24

67

Views

Updated- Proof of convexity of trace function- is this argument correct

Published on 29 Mar 2023 - 20:45

List Question

Trace inequality of Hadmard product

Largest $k$ such that $k \operatorname{Tr} H^2 C \le (\operatorname{Tr} H C)^2$

Asymptotics of traces of powers of Gaussian kernel on bounded domains (ball)

Smallest constant $C$ to bound $\mathbb{E}[\mathrm{tr}((\overline{X}_n + I)^{-1})] \leq C~\mathrm{tr}((\mathbb{E}[X] + I)^{-1})$?

Simplify ${\rm trace}((A_1⊗A_2+B_1⊗B_2)^{-1})$

Derivative of the function of a trace with respect to a vector

Minimize $\operatorname{tr} \left(X^T L X \right)$ subject to inequality constraints

Solving a matrix equation involving trace and determinant

Gradient of $X \mapsto \mbox{tr} \left(BXCX^TB^TBXCX^TB^T\right)$

prove that ${\rm tr}(\sqrt{\sqrt{AA^T}BB^T\sqrt{AA^T}})={\rm tr}(\sqrt{B^TAA^TB})$

Differential of the Trace for functions applied to unbounded self-adjoint operators

Is the trace of a constant simply that constant?

What is the trace of the second tensor component?

Show that there exists a $λ ∈ K$ such that $l(A) = λtrace(A)$ for all $A ∈ Mat_{n,n}(K)$

Updated- Proof of convexity of trace function- is this argument correct

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