Question

Integral over positive definite matrix, $\int_{A > 0} (I + A)^{-2} |A|^{(n-p-1)/2} |I + A|^{-(n+\nu)/2} dA$.

score 32 · Answer 1 · 2026-04-14 20:11:09

32

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Integral over positive definite matrix, $\int_{A > 0} (I + A)^{-2} |A|^{(n-p-1)/2} |I + A|^{-(n+\nu)/2} dA$.

Published on 14 Apr 2026 - 20:11

score 769 · Answer 2 · 2026-04-11 18:16:20

769

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Changing order of Double Summation

Published on 11 Apr 2026 - 18:16

score 358 · Answer 3 · 2026-04-13 07:26:59

358

Views

Computing $\frac{\partial(X^Tb)}{\partial X}$

Published on 13 Apr 2026 - 7:26

score 75 · Answer 4 · 2026-04-16 08:57:59

75

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Derivative of a Matrix w.r.t. its Matrix Square, $\frac{\partial \text{vec}X}{\partial\text{vec}(XX')}$

Published on 16 Apr 2026 - 8:57

score 40 · Answer 5 · 2026-04-13 03:37:04

40

Views

Which rules of scalar calculus apply when taking the derivative w.r.t. a component of a vector?

Published on 13 Apr 2026 - 3:37

score 96 · Answer 6 · 2026-04-12 06:04:10

96

Views

How to compute the Jacobian of a function with an Hadamard division?

Published on 12 Apr 2026 - 6:04

score 130 · Answer 7 · 2026-04-14 07:02:51

130

Views

Metric of $SO(3)$ : Why is there $\frac{1}{8}$ in front of this scalar product?

Published on 14 Apr 2026 - 7:02

score 106 · Answer 8 · 2026-04-09 09:24:55

106

Views

Sherman-Morrison formula to demonstrate $\frac{\partial x_k}{\partial a_{ij}} = -x_j c_{ki}$

Published on 09 Apr 2026 - 9:24

score 554 · Answer 9 · 2026-04-13 19:26:22

554

Views

Complex Matrix Gradient of Frobenius Norm

Published on 13 Apr 2026 - 19:26

score 320 · Answer 10 · 2026-04-14 09:32:49

320

Views

Calculating gradient of scalar with vector jacobian products

Published on 14 Apr 2026 - 9:32

score 124 · Answer 11 · 2026-04-15 00:59:41

124

Views

Derivative of matrix $(A^TA)^{-1/2}D(A^TA)^{-1/2}$ w.r.t. $A_{ij}$

Published on 15 Apr 2026 - 0:59

score 200 · Answer 12 · 2026-04-13 19:29:27

200

Views

What's the third derivative of $\log( \det X)$ with respect to $X$?

Published on 13 Apr 2026 - 19:29

score 58 · Answer 13 · 2026-04-14 09:53:43

58

Views

How did they get the final result here?

Published on 14 Apr 2026 - 9:53

score 53 · Answer 14 · 2026-04-12 15:16:51

53

Views

Can I swap the positions in this equation?

Published on 12 Apr 2026 - 15:16

score 77 · Answer 15 · 2026-04-16 12:39:44

77

Views

Differentiating a scalar function $f := z \, \beta^T \left({\Sigma}+zI\right)^{-1} \beta$ w.r.t. $z$.

Published on 16 Apr 2026 - 12:39

List Question

Integral over positive definite matrix, $\int_{A > 0} (I + A)^{-2} |A|^{(n-p-1)/2} |I + A|^{-(n+\nu)/2} dA$.

Changing order of Double Summation

Computing $\frac{\partial(X^Tb)}{\partial X}$

Derivative of a Matrix w.r.t. its Matrix Square, $\frac{\partial \text{vec}X}{\partial\text{vec}(XX')}$

Which rules of scalar calculus apply when taking the derivative w.r.t. a component of a vector?

How to compute the Jacobian of a function with an Hadamard division?

Metric of $SO(3)$ : Why is there $\frac{1}{8}$ in front of this scalar product?

Sherman-Morrison formula to demonstrate $\frac{\partial x_k}{\partial a_{ij}} = -x_j c_{ki}$

Complex Matrix Gradient of Frobenius Norm

Calculating gradient of scalar with vector jacobian products

Derivative of matrix $(A^TA)^{-1/2}D(A^TA)^{-1/2}$ w.r.t. $A_{ij}$

What's the third derivative of $\log( \det X)$ with respect to $X$?

How did they get the final result here?

Can I swap the positions in this equation?

Differentiating a scalar function $f := z \, \beta^T \left({\Sigma}+zI\right)^{-1} \beta$ w.r.t. $z$.

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