Question

Minimize Trace(VX+WS) subject to [V,I;I,W]>=0; [X,I;I,S]>=0

score 56 · Answer 1 · 2026-03-30 09:38:40

56

Views

Minimize Trace(VX+WS) subject to [V,I;I,W]>=0; [X,I;I,S]>=0

Published on 30 Mar 2026 - 9:38

score 128 · Answer 2 · 2026-03-27 00:06:38

128

Views

Prove $(tr_B(\rho^{AB}))_{aa'}=\sum_{b}\rho^{AB}_{ab,a'b}=\rho^{A}_{aa'}$

Published on 27 Mar 2026 - 0:06

score 98 · Answer 3 · 2021-09-17 20:30:58

98

Views

If the trace of the matrices $A^k$ are equal to the size of $A$ why the spectrum of $A$ is $\{1\}$

Published on 17 Sep 2021 - 20:30

score 124 · Answer 4 · 2021-09-18 10:46:01

124

Views

Understanding the field trace equation $\text{Tr}_{L:K}(\alpha)=[L:K(\alpha)]\text{Tr}_{K(\alpha):K}(\alpha)$

Published on 18 Sep 2021 - 10:46

score 33 · Answer 5 · 2021-09-18 15:08:50

33

Views

If $a_{ij}=|f(i)~g(j)|, A=[a_{ij}]_{n\times n}$, then $\operatorname{Tr} (A^k)=(\operatorname{Tr}(A))^k,n,k \in I^+$

Published on 18 Sep 2021 - 15:08

score 56 · Answer 6 · 2026-03-29 03:45:07

56

Views

Is the area of the parallelogram the solution set of this Differential Equation? [Illustration](https://youtu.be/O85OWBJ2ayo?t=1338)

Published on 29 Mar 2026 - 3:45

score 79 · Answer 7 · 2026-03-25 18:45:48

79

Views

LMI-Solution Invariant to the Initial Conditions

Published on 25 Mar 2026 - 18:45

score 47 · Answer 8 · 2021-09-25 04:01:16

47

Views

Is it true that for Hilbert-Schmidt operators $B$ and $C$ we have $|\langle B^*Ce,e\rangle|=\frac{1}{2}(\|Be\|^2+\|Ce\|^2)$ on unit vectors?

Published on 25 Sep 2021 - 4:01

score 29 · Answer 9 · 2021-09-28 02:33:12

29

Views

Maximization of $tr(Q^T S^2 Q (Q^T S Q)^{-1})$ with respect to $Q$ for a given $S$

Published on 28 Sep 2021 - 2:33

score 44 · Answer 10 · 2021-10-01 06:41:39

44

Views

Minimize $\mathrm{tr}(AX^{-1}A'X)$ such that $X\succ0$

Published on 01 Oct 2021 - 6:41

score 285 · Answer 11 · 2026-03-27 11:45:27

285

Views

H2 norm and trace

Published on 27 Mar 2026 - 11:45

score 45 · Answer 12 · 2021-10-03 21:45:06

45

Views

Question about multiplying a rank $1$ density matrix with a positive semidefinite matrix

Published on 03 Oct 2021 - 21:45

score 35 · Answer 13 · 2021-10-04 09:25:33

35

Views

Derivative with matrices and Traces

Published on 04 Oct 2021 - 9:25

score 498 · Answer 14 · 2021-10-05 00:48:49

498

Views

I need help verifying a few linear algebra proofs for trace of a matrix transposed and scalar distribution

Published on 05 Oct 2021 - 0:48

score 355 · Answer 15 · 2021-10-14 00:48:53

355

Views

If $A$ and $B$ are orthogonal projection matrices, how can I show that trace$(AB) \le $ rank$(AB)$?

Published on 14 Oct 2021 - 0:48

List Question

Minimize Trace(VX+WS) subject to [V,I;I,W]>=0; [X,I;I,S]>=0

Prove $(tr_B(\rho^{AB}))_{aa'}=\sum_{b}\rho^{AB}_{ab,a'b}=\rho^{A}_{aa'}$

If the trace of the matrices $A^k$ are equal to the size of $A$ why the spectrum of $A$ is $\{1\}$

Understanding the field trace equation $\text{Tr}_{L:K}(\alpha)=[L:K(\alpha)]\text{Tr}_{K(\alpha):K}(\alpha)$

If $a_{ij}=|f(i)~g(j)|, A=[a_{ij}]_{n\times n}$, then $\operatorname{Tr} (A^k)=(\operatorname{Tr}(A))^k,n,k \in I^+$

Is the area of the parallelogram the solution set of this Differential Equation? [Illustration](https://youtu.be/O85OWBJ2ayo?t=1338)

LMI-Solution Invariant to the Initial Conditions

Is it true that for Hilbert-Schmidt operators $B$ and $C$ we have $|\langle B^*Ce,e\rangle|=\frac{1}{2}(\|Be\|^2+\|Ce\|^2)$ on unit vectors?

Maximization of $tr(Q^T S^2 Q (Q^T S Q)^{-1})$ with respect to $Q$ for a given $S$

Minimize $\mathrm{tr}(AX^{-1}A'X)$ such that $X\succ0$

H2 norm and trace

Question about multiplying a rank $1$ density matrix with a positive semidefinite matrix

Derivative with matrices and Traces

I need help verifying a few linear algebra proofs for trace of a matrix transposed and scalar distribution

If $A$ and $B$ are orthogonal projection matrices, how can I show that trace$(AB) \le $ rank$(AB)$?

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