Question

Does $\lim_{N\rightarrow\infty}\frac{tr(A'A)}{N}=0$ imply $\lim_{N\rightarrow\infty}\frac{tr(A)}{N}=0$?

score 77 · Answer 1 · 2015-04-13 01:49:50

77

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Does $\lim_{N\rightarrow\infty}\frac{tr(A'A)}{N}=0$ imply $\lim_{N\rightarrow\infty}\frac{tr(A)}{N}=0$?

Published on 13 Apr 2015 - 1:49

score 75 · Answer 2 · 2015-04-13 20:05:19

75

Views

algebraic equation with trace

Published on 13 Apr 2015 - 20:05

score 495 · Answer 3 · 2015-04-14 14:46:59

495

Views

Integration.Matrix.Determinant.Inverse.Trace.

Published on 14 Apr 2015 - 14:46

score 306 · Answer 4 · 2015-04-20 09:09:46

306

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Derivative of a trace function

Published on 20 Apr 2015 - 9:09

score 1.6k · Answer 5 · 2015-04-24 04:19:18

1.6k

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$A$ is the set of all $n \times n$ matrices where $\operatorname{tr}(A)=0$, is $A$ a subspace of $M_{nn}$ (where $n\ge2$)?

Published on 24 Apr 2015 - 4:19

score 90 · Answer 6 · 2015-04-28 18:17:35

90

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How does $\inf_{c \in \mathbb{R}} \lVert u - c \rVert_{L^2} \le \lVert \nabla u \rVert_{L^2}$ imply this inequality?

Published on 28 Apr 2015 - 18:17

score 76 · Answer 7 · 2015-04-29 15:33:03

76

Views

Intermediate traces???

Published on 29 Apr 2015 - 15:33

score 449 · Answer 8 · 2015-04-29 16:49:19

449

Views

Conditions for Trace Inequality

Published on 29 Apr 2015 - 16:49

score 128 · Answer 9 · 2015-05-02 19:09:29

128

Views

A trace inquality for the product of symmetric PSD matrices

Published on 02 May 2015 - 19:09

score 207 · Answer 10 · 2015-05-04 14:57:04

207

Views

Trace minimization-Revised

Published on 04 May 2015 - 14:57

score 419 · Answer 11 · 2015-05-04 19:32:46

419

Views

$\langle A,B\rangle = \operatorname{tr}(B^*A)$

Published on 04 May 2015 - 19:32

score 6.4k · Answer 12 · 2015-05-05 06:22:28

6.4k

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Meaning of the identity $\det(A+B)+\text{tr}(AB) = \det(A)+\det(B) + \text{tr}(A)\text{tr}(B)$ (in dimension $2$)

Published on 05 May 2015 - 6:22

score 107 · Answer 13 · 2015-05-07 17:32:39

107

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Closed formula for $\sum_{i=1}^n \det(v_1, \ldots, Av_i, \ldots, v_n)$

Published on 07 May 2015 - 17:32

score 123 · Answer 14 · 2026-03-28 06:00:30

123

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Conceptual approach to the formula $\sum_{i=1}^n \det(v_1, \ldots, Av_i, \ldots, v_n)=\text{tr}(A)\det(v_1, \ldots, v_n)$

Published on 28 Mar 2026 - 6:00

score 197 · Answer 15 · 2015-05-10 02:08:11

197

Views

Complicated trace derivative

Published on 10 May 2015 - 2:08

List Question

Does $\lim_{N\rightarrow\infty}\frac{tr(A'A)}{N}=0$ imply $\lim_{N\rightarrow\infty}\frac{tr(A)}{N}=0$?

algebraic equation with trace

Integration.Matrix.Determinant.Inverse.Trace.

Derivative of a trace function

$A$ is the set of all $n \times n$ matrices where $\operatorname{tr}(A)=0$, is $A$ a subspace of $M_{nn}$ (where $n\ge2$)?

How does $\inf_{c \in \mathbb{R}} \lVert u - c \rVert_{L^2} \le \lVert \nabla u \rVert_{L^2}$ imply this inequality?

Intermediate traces???

Conditions for Trace Inequality

A trace inquality for the product of symmetric PSD matrices

Trace minimization-Revised

$\langle A,B\rangle = \operatorname{tr}(B^*A)$

Meaning of the identity $\det(A+B)+\text{tr}(AB) = \det(A)+\det(B) + \text{tr}(A)\text{tr}(B)$ (in dimension $2$)

Closed formula for $\sum_{i=1}^n \det(v_1, \ldots, Av_i, \ldots, v_n)$

Conceptual approach to the formula $\sum_{i=1}^n \det(v_1, \ldots, Av_i, \ldots, v_n)=\text{tr}(A)\det(v_1, \ldots, v_n)$

Complicated trace derivative

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