Question

How to vector-derivate this matrix-vector multiplication?

score 118 · Answer 1 · 2026-03-25 04:55:48

118

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How to vector-derivate this matrix-vector multiplication?

Published on 25 Mar 2026 - 4:55

score 53 · Answer 2 · 2026-03-26 09:45:48

53

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How to derive this complex differentiation?

Published on 26 Mar 2026 - 9:45

score 325 · Answer 3 · 2026-03-25 13:34:21

325

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Using chain rule to calculate Fréchet derivative of $F(X) = \det(A^T (I - X) A)$

Published on 25 Mar 2026 - 13:34

score 65 · Answer 4 · 2019-04-24 05:31:10

65

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Finding a differential of a matrix function

Published on 24 Apr 2019 - 5:31

score 141 · Answer 5 · 2019-04-24 20:59:31

141

Views

Gradient of $f(x) = a \oslash (b + a \odot x)$ w.r.t. $x \in \mathbb{R}^n$

Published on 24 Apr 2019 - 20:59

score 3.9k · Answer 6 · 2019-04-25 08:44:13

3.9k

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Matrix-valued function: understanding

Published on 25 Apr 2019 - 8:44

score 117 · Answer 7 · 2019-04-25 11:49:07

117

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"Index" of partial derivatives of a matrix with respect to another matrix

Published on 25 Apr 2019 - 11:49

score 81 · Answer 8 · 2026-03-25 15:51:52

81

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Inferring the Lipschitz constant of a vector Laplacian, given Lipschitz constants of the second and third derivative

Published on 25 Mar 2026 - 15:51

score 77 · Answer 9 · 2019-04-29 01:29:43

$\frac{d\bf{Ax}}{d\bf{x}'}=A$ makes sense as Ax becomes a column vector given x is a column vector, but I see elsewhere $\frac{d\bf{Ax}}{d\bf{x}}=A'$

score 85 · Answer 10 · 2019-04-29 15:15:20

Gradient of $f(W)=\sum_{j \neq {t}} \left[ \max\left(0, [ W x ]_j - \left[ W x \right]_{t} + \delta \right) \right] + \lambda \left\| W \right\|_F^2$

score 42 · Answer 11 · 2019-04-30 05:50:17

42

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Relations Between the Solutions of a Matrix DE

Published on 30 Apr 2019 - 5:50

score 112 · Answer 12 · 2019-04-30 19:05:19

112

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Matrix-scalar chain rule

Published on 30 Apr 2019 - 19:05

score 80 · Answer 13 · 2019-05-01 05:54:35

Gradient and Hessian of $f(x,y) := a^T \left( x \odot \left[ \exp\left( \mu \ (y \ \oslash \ x) \right) - 1 \right] \right)$, wr.t. $x$ and $y$

score 120 · Answer 14 · 2019-05-02 02:11:12

120

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If A and B are non-singular and n-square matrices. Show that $(I+BA)^{-1}=I-(((B^{-1})+A)^{-1})A$

Published on 02 May 2019 - 2:11

score 88 · Answer 15 · 2019-05-02 14:55:03

88

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How to compute the derivative of $\frac{\partial\mathbf{a}_k }{\partial{X}_{ij}}$ when $X = A^TB$

Published on 02 May 2019 - 14:55

List Question

How to vector-derivate this matrix-vector multiplication?

How to derive this complex differentiation?

Using chain rule to calculate Fréchet derivative of $F(X) = \det(A^T (I - X) A)$

Finding a differential of a matrix function

Gradient of $f(x) = a \oslash (b + a \odot x)$ w.r.t. $x \in \mathbb{R}^n$

Matrix-valued function: understanding

"Index" of partial derivatives of a matrix with respect to another matrix

Inferring the Lipschitz constant of a vector Laplacian, given Lipschitz constants of the second and third derivative

$\frac{d\bf{Ax}}{d\bf{x}'}=A$ makes sense as Ax becomes a column vector given x is a column vector, but I see elsewhere $\frac{d\bf{Ax}}{d\bf{x}}=A'$

Gradient of $f(W)=\sum_{j \neq {t}} \left[ \max\left(0, [ W x ]_j - \left[ W x \right]_{t} + \delta \right) \right] + \lambda \left\| W \right\|_F^2$

Relations Between the Solutions of a Matrix DE

Matrix-scalar chain rule

Gradient and Hessian of $f(x,y) := a^T \left( x \odot \left[ \exp\left( \mu \ (y \ \oslash \ x) \right) - 1 \right] \right)$, wr.t. $x$ and $y$

If A and B are non-singular and n-square matrices. Show that $(I+BA)^{-1}=I-(((B^{-1})+A)^{-1})A$

How to compute the derivative of $\frac{\partial\mathbf{a}_k }{\partial{X}_{ij}}$ when $X = A^TB$

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