List questions from matrix-calculus

Published on 11 Apr 2026 - 11:08

70

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Matrix directional derivative for LQR solution via Lagrange multipliers

Published on 11 Apr 2026 - 23:33

107

Views

Can we use the matrix exponential trick to solve the Frenet-Serret frame?

Published on 13 Apr 2026 - 10:39

167

Views

Derivative of the $p$-Schatten norm of a symmetric matrix, raised to the $p$th power.

Published on 15 Apr 2026 - 20:44

64

Views

How to interpret a second derivative with respect to a vector/matrix?

Published on 11 Apr 2026 - 23:52

56

Views

Derivative of $\text{trace}((a|S^{-1}| + bS^{-1})B)$ with respect to $S$

Published on 14 Apr 2026 - 18:21

51

Views

Derivative of $|S|$ or $\text{sign}(S)$ with respect to $S$.

Published on 16 Apr 2026 - 14:56

121

Views

Derivative of $\det(XAX^H)$ wrt $X$?

Published on 09 Apr 2026 - 22:11

41

Views

How to compute the derivative of tr$((MAM^{T})^2)$?

Published on 15 Apr 2026 - 14:31

342

Views

Reconstructed rotation matrix is not the same as the original one

Published on 14 Apr 2026 - 5:38

211

Views

Gradient of Coefficient of Variation of weighted geometric mean

Published on 15 Apr 2026 - 10:28

279

Views

Partial derivative of a diagonal matrix w.r.t a vector

Published on 25 Mar 2026 - 21:22

673

Views

Derivative of outer product of two vectors

Published on 14 Apr 2026 - 8:27

1k

Views

Derivative of a function divided by its norm, i.e., $\phi(x) = \frac{f(x)}{\|f(x)\|}$

Published on 16 Apr 2026 - 11:23

278

Views

What is the Hessian of $X \mapsto f \left( X^T X \right)$ in terms of the Hessian of $f$?

Published on 14 Apr 2026 - 17:52

List Question

Is there an operation which block diagonalizes a given matrix?

Matrix directional derivative for LQR solution via Lagrange multipliers

Can we use the matrix exponential trick to solve the Frenet-Serret frame?

Derivative of the $p$-Schatten norm of a symmetric matrix, raised to the $p$th power.

How to interpret a second derivative with respect to a vector/matrix?

Derivative of $\text{trace}((a|S^{-1}| + bS^{-1})B)$ with respect to $S$

Derivative of $|S|$ or $\text{sign}(S)$ with respect to $S$.

Derivative of $\det(XAX^H)$ wrt $X$?

How to compute the derivative of tr$((MAM^{T})^2)$?

Reconstructed rotation matrix is not the same as the original one

Gradient of Coefficient of Variation of weighted geometric mean

Partial derivative of a diagonal matrix w.r.t a vector

Derivative of outer product of two vectors

Derivative of a function divided by its norm, i.e., $\phi(x) = \frac{f(x)}{\|f(x)\|}$

What is the Hessian of $X \mapsto f \left( X^T X \right)$ in terms of the Hessian of $f$?

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