Question

When does trace(A'A) become less than trace(A'DA)?

score 63 · Answer 1 · 2022-08-24 20:31:56

63

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When does trace(A'A) become less than trace(A'DA)?

Published on 24 Aug 2022 - 20:31

score 118 · Answer 2 · 2022-08-26 19:33:49

118

Views

Inequalities for trace of product of symmetric positive definite matrices

Published on 26 Aug 2022 - 19:33

score 126 · Answer 3 · 2026-03-27 05:38:08

126

Views

Prove that $tr\Big(\sum_k E_k^\dagger E_k\rho\Big)=1$ for all $\rho$ implies $\sum_k E_k^\dagger E_k=I$

Published on 27 Mar 2026 - 5:38

score 138 · Answer 4 · 2026-03-27 05:39:02

138

Views

Prove $\text{tr}(\sqrt{\sqrt A B \sqrt A})\leq 1$,where both $A$ and $B$ are positive semidefinite, and $\text{tr}(A)=\text{tr}(B)=1$

Published on 27 Mar 2026 - 5:39

score 338 · Answer 5 · 2026-03-27 11:47:48

338

Views

Connection between vector scalar product and trace of matrix product

Published on 27 Mar 2026 - 11:47

score 177 · Answer 6 · 2026-03-27 20:22:28

177

Views

An estimate on the trace norm of a product of operators

Published on 27 Mar 2026 - 20:22

score 108 · Answer 7 · 2026-03-31 11:51:05

108

Views

Zero Trace Matrix Properties

Published on 31 Mar 2026 - 11:51

score 104 · Answer 8 · 2022-09-23 03:04:22

104

Views

$\operatorname{tr}(A^\text{T}A) = \operatorname{tr}(A)$ if $A$ is idempotent.

Published on 23 Sep 2022 - 3:04

score 54 · Answer 9 · 2022-09-26 10:02:30

54

Views

Minimize $\log|\Sigma|+\text{Tr}[\Sigma^{-1}S]$ with $\Sigma=AA'+\Phi$

Published on 26 Sep 2022 - 10:02

score 64 · Answer 10 · 2022-10-03 14:58:23

64

Views

Gradient of $\log_2\operatorname{Tr}(AX)$

Published on 03 Oct 2022 - 14:58

score 53 · Answer 11 · 2026-03-31 16:54:07

53

Views

Is trace equal to 1 equivalent to free on one generator?

Published on 31 Mar 2026 - 16:54

score 120 · Answer 12 · 2022-10-13 02:06:31

120

Views

Extend a $C^2$ function from the Boundary to the Interior while Preserving Some Regularity

Published on 13 Oct 2022 - 2:06

score 222 · Answer 13 · 2022-10-18 18:44:45

222

Views

How does the trace operator resolve the "restriction to the boundary" issue in Sobolev spaces?

Published on 18 Oct 2022 - 18:44

score 123 · Answer 14 · 2022-10-20 01:54:57

123

Views

Is the trace preserved (up to scaling) by Lie algebra homomorphisms (between matrix Lie algebras)?

Published on 20 Oct 2022 - 1:54

score 29 · Answer 15 · 2022-10-23 05:28:48

29

Views

Matrices that have same complex eigenvalues with the same algebraic multiplicities have same trace?

Published on 23 Oct 2022 - 5:28

List Question

When does trace(A'A) become less than trace(A'DA)?

Inequalities for trace of product of symmetric positive definite matrices

Prove that $tr\Big(\sum_k E_k^\dagger E_k\rho\Big)=1$ for all $\rho$ implies $\sum_k E_k^\dagger E_k=I$

Prove $\text{tr}(\sqrt{\sqrt A B \sqrt A})\leq 1$,where both $A$ and $B$ are positive semidefinite, and $\text{tr}(A)=\text{tr}(B)=1$

Connection between vector scalar product and trace of matrix product

An estimate on the trace norm of a product of operators

Zero Trace Matrix Properties

$\operatorname{tr}(A^\text{T}A) = \operatorname{tr}(A)$ if $A$ is idempotent.

Minimize $\log|\Sigma|+\text{Tr}[\Sigma^{-1}S]$ with $\Sigma=AA'+\Phi$

Gradient of $\log_2\operatorname{Tr}(AX)$

Is trace equal to 1 equivalent to free on one generator?

Extend a $C^2$ function from the Boundary to the Interior while Preserving Some Regularity

How does the trace operator resolve the "restriction to the boundary" issue in Sobolev spaces?

Is the trace preserved (up to scaling) by Lie algebra homomorphisms (between matrix Lie algebras)?

Matrices that have same complex eigenvalues with the same algebraic multiplicities have same trace?

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