Question

Using a component-wise approach (using partial derivatives), show that the gradient of $f$ is given by $\nabla f(x) = \frac{1}{2}(A +A^T)x + b$

score 53 · Answer 1 · 2026-03-25 22:05:44

53

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Using a component-wise approach (using partial derivatives), show that the gradient of $f$ is given by $\nabla f(x) = \frac{1}{2}(A +A^T)x + b$

Published on 25 Mar 2026 - 22:05

score 220 · Answer 2 · 2026-03-25 15:58:58

220

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Matrix Differentiation (involving Hadamard products)

Published on 25 Mar 2026 - 15:58

score 55 · Answer 3 · 2019-03-10 07:05:44

55

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Matrix differenation results

Published on 10 Mar 2019 - 7:05

score 1.3k · Answer 4 · 2019-03-10 07:18:39

1.3k

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Derivative of $max(0, \mathbf{x})$ for the vector $\mathbf{x} \in R^n$

Published on 10 Mar 2019 - 7:18

score 80 · Answer 5 · 2019-03-10 14:29:46

80

Views

Derivative of a multivariate quadratic

Published on 10 Mar 2019 - 14:29

score 289 · Answer 6 · 2019-03-11 02:32:56

289

Views

How to calculate correctly the gradient of log det $\psi(x)$ matrix?

Published on 11 Mar 2019 - 2:32

score 49 · Answer 7 · 2026-03-25 14:23:29

49

Views

There exists $H$ such $S=XH^t+HX^t$ for every simetric $S$

Published on 25 Mar 2026 - 14:23

score 208 · Answer 8 · 2026-03-25 01:29:20

208

Views

Gradient of complex scalar field

Published on 25 Mar 2026 - 1:29

score 463 · Answer 9 · 2026-03-25 01:30:07

463

Views

Matrix derivative of $Tr(A\log(X))$

Published on 25 Mar 2026 - 1:30

score 130 · Answer 10 · 2026-03-25 13:32:56

130

Views

Basic questions about Frechet derivatives

Published on 25 Mar 2026 - 13:32

score 246 · Answer 11 · 2026-03-25 13:33:28

246

Views

Confused about chain rule in Frechet derivative

Published on 25 Mar 2026 - 13:33

score 346 · Answer 12 · 2019-03-16 14:11:26

346

Views

(How) can one visualise the derivative of the function $A \mapsto A^{-1}$, where $A$ is a matrix?

Published on 16 Mar 2019 - 14:11

score 133 · Answer 13 · 2019-03-17 08:24:10

133

Views

Comparison Theorem for Matrix Differential Equation

Published on 17 Mar 2019 - 8:24

score 327 · Answer 14 · 2026-03-27 01:46:59

327

Views

Partial Derivative of Trace of Matrix in negative power wrt to parameters

Published on 27 Mar 2026 - 1:46

score 228 · Answer 15 · 2026-03-25 13:33:22

228

Views

Going from the differential to the derivative (Frechet and matrix calculus)

Published on 25 Mar 2026 - 13:33

List Question

Using a component-wise approach (using partial derivatives), show that the gradient of $f$ is given by $\nabla f(x) = \frac{1}{2}(A +A^T)x + b$

Matrix Differentiation (involving Hadamard products)

Matrix differenation results

Derivative of $max(0, \mathbf{x})$ for the vector $\mathbf{x} \in R^n$

Derivative of a multivariate quadratic

How to calculate correctly the gradient of log det $\psi(x)$ matrix?

There exists $H$ such $S=XH^t+HX^t$ for every simetric $S$

Gradient of complex scalar field

Matrix derivative of $Tr(A\log(X))$

Basic questions about Frechet derivatives

Confused about chain rule in Frechet derivative

(How) can one visualise the derivative of the function $A \mapsto A^{-1}$, where $A$ is a matrix?

Comparison Theorem for Matrix Differential Equation

Partial Derivative of Trace of Matrix in negative power wrt to parameters

Going from the differential to the derivative (Frechet and matrix calculus)

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