List questions from trace

Published on 08 Mar 2013 - 8:24

112

Views

How to compute $\text{trace}((A+D)^{-1}A)$

Published on 09 Mar 2013 - 8:38

518

Views

Convexity of $\mathrm{trace}(S) + m^2\mathrm{trace}(S^{-2})$

Published on 09 Mar 2013 - 21:50

114

Views

Operator inequalities: $0 \leq A \leq B \Rightarrow Tr(A^p) \leq Tr(B^p)$?

Published on 30 Mar 2026 - 8:58

67

Views

Help proving operator inequality

Published on 11 Mar 2013 - 17:24

428

Views

Condition on trace of product of two matrices to be positive

Published on 12 Mar 2013 - 8:55

131

Views

Derivative of a scalar function with resepct to a Matrix

Published on 17 Mar 2013 - 9:57

80

Views

If $Tr(A^k)=0$ for $1\leq k\leq n$ is $A^n=0_n$, where $A\in M_n(\mathbb R)$?

Published on 21 Mar 2013 - 16:41

3k

Views

Check if $\det(I + S) = 1 + \operatorname{trace}(S)$ holds ?

Published on 26 Mar 2013 - 14:19

125

Views

Show $e^{-tA}$ is a trace class operator, $t>0$

Published on 26 Mar 2026 - 12:33

40

Views

Result of $\int_0^1 Tr(e^{-a(1-t)T}A^{∗}e^{-atT}B)) dt , a>0$

Published on 26 Mar 2026 - 12:36

78

Views

Sum of positive eigenvalues

Published on 03 Aug 2020 - 14:43

185

Views

Trace after the action of projectors

Published on 29 Mar 2026 - 11:43

5.1k

Views

Matrix multiplied by its pseudo-inverse doesn't give the identity matrix. Why?

Published on 28 Mar 2026 - 1:06

105

Views

Question about a proof involving polar decomposition of an operator

Published on 06 Aug 2020 - 6:37

List Question

trace of the inverse of a matrix times another matrix

How to compute $\text{trace}((A+D)^{-1}A)$

Convexity of $\mathrm{trace}(S) + m^2\mathrm{trace}(S^{-2})$

Operator inequalities: $0 \leq A \leq B \Rightarrow Tr(A^p) \leq Tr(B^p)$?

Help proving operator inequality

Condition on trace of product of two matrices to be positive

Derivative of a scalar function with resepct to a Matrix

If $Tr(A^k)=0$ for $1\leq k\leq n$ is $A^n=0_n$, where $A\in M_n(\mathbb R)$?

Check if $\det(I + S) = 1 + \operatorname{trace}(S)$ holds ?

Show $e^{-tA}$ is a trace class operator, $t>0$

Result of $\int_0^1 Tr(e^{-a(1-t)T}A^{∗}e^{-atT}B)) dt , a>0$

Sum of positive eigenvalues

Trace after the action of projectors

Matrix multiplied by its pseudo-inverse doesn't give the identity matrix. Why?

Question about a proof involving polar decomposition of an operator

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