List questions from trace

Published on 27 Mar 2026 - 12:02

393

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Is it possible to pull out a diagonal matrix from a trace operation

Published on 30 Jul 2020 - 1:42

279

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If matrix $A$ is positive semidefinite and tall matrix $W$ has orthonormal columns, does $\mbox{Tr} \left( W^T A W \right) \leq \mbox{Tr} (A)$ hold?

Published on 26 Mar 2026 - 22:55

187

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Confusion on symmetric bilinear form exercise

Published on 26 Mar 2026 - 12:33

1.9k

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Differentiating $\mbox{tr} (ABA^TC)$ w.r.t. $A$

Published on 25 Mar 2026 - 11:01

632

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Prove that $\operatorname{trace}(A) = 0$ if and only if $A^2 = 0$.

Published on 17 Jul 2016 - 17:21

211

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There is no trace on Cuntz algebra

Published on 19 Jul 2016 - 8:31

1.1k

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Lower bounding the trace of $A^2$ using the trace of $A^T A$

Published on 19 Jul 2016 - 21:32

647

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Distributive property on trace norm

Published on 20 Jul 2016 - 1:52

728

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The completeness relation from QM in terms of inner products

Published on 22 Jul 2016 - 0:34

258

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How tight is this trace inequality?

Published on 25 Jul 2016 - 16:48

314

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Optimize an Trace matrix form

Published on 26 Jul 2016 - 16:39

3.3k

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Trace of a third order tensor

Published on 27 Jul 2016 - 2:26

100

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$ι:U→V$ is an embedding, $Q:=ιι^$, $L∈(ℝ^d)$, $Φ∈\text{HS}(U,ℝ^d)$ $⇒$ $\text{tr}LΦ\sqrt Q(Φ\sqrt Q)^$ doesn't depend on $ι$

Published on 27 Jul 2016 - 11:22

282

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Show that the trace of A is less than n

Published on 28 Jul 2016 - 14:41

List Question

Optimizing weighted matrix sum / trace

Is it possible to pull out a diagonal matrix from a trace operation

If matrix $A$ is positive semidefinite and tall matrix $W$ has orthonormal columns, does $\mbox{Tr} \left( W^T A W \right) \leq \mbox{Tr} (A)$ hold?

Confusion on symmetric bilinear form exercise

Differentiating $\mbox{tr} (ABA^TC)$ w.r.t. $A$

Prove that $\operatorname{trace}(A) = 0$ if and only if $A^2 = 0$.

There is no trace on Cuntz algebra

Lower bounding the trace of $A^2$ using the trace of $A^T A$

Distributive property on trace norm

The completeness relation from QM in terms of inner products

How tight is this trace inequality?

Optimize an Trace matrix form

Trace of a third order tensor

$ι:U→V$ is an embedding, $Q:=ιι^$, $L∈(ℝ^d)$, $Φ∈\text{HS}(U,ℝ^d)$ $⇒$ $\text{tr}LΦ\sqrt Q(Φ\sqrt Q)^$ doesn't depend on $ι$

Show that the trace of A is less than n

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