List questions from matrix-calculus

Published on 10 May 2026 - 14:59

603

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Derivative of the Euclidean norm with respect to matrix?

Published on 10 May 2026 - 19:51

69

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Matrix derivative of a function

Published on 10 May 2026 - 16:14

415

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Understanding of matrix XOR product

Published on 29 Apr 2026 - 12:26

657

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Frechet derivative of a composition of functions over matrices

Published on 10 May 2026 - 15:01

3.8k

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Product rule for vector-valued functions

Published on 14 Apr 2026 - 23:18

48

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Derivative of $f({Z}) = Tr({Z}{U}^T{Z}^T{Z}{U}{Z}^T)$

Published on 10 May 2026 - 15:52

387

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Jensen inequality for matrix exponential of positive definite matrix (laplacian)

Published on 10 May 2026 - 13:26

177

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Are dynamic stability and model convergence/divergence separate concepts?

Published on 17 Apr 2026 - 11:42

211

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Check the convexity of a function with respect to a matrix.

Published on 25 Mar 2026 - 12:37

425

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Inverting a tensor contraction

Published on 10 May 2026 - 19:48

173

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$A,B,C \in M_n$; $AXB=C$; if $A$ or $B$ singular, a solution $X$ exist iff $\text{rank}\{B^T\otimes A\}=\text{rank}\{B^T\otimes A\,\text{ vec}(C)\}$

Published on 15 Apr 2026 - 23:16

783

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How is $\nabla_X \operatorname{Tr}\left\{ X^T A X B\right\} = AXB + A^TXB^T$?

Published on 10 May 2026 - 15:52

83

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Matrix derivative of $A(x) \left(A(x)^A(x)\right)^{-1} A(x)^$ w.r.t. $x$, where $A(x)$ unknown matrix is a function of $x$?

Published on 15 Apr 2026 - 17:38

431

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Derivative of a composite function $\mathbb{R} \to \mathbb{R}^{n\times n} \to \mathbb{R} $

Published on 15 Apr 2026 - 5:34

List Question

Index notation of double contraction with second order tensor derivative

Derivative of the Euclidean norm with respect to matrix?

Matrix derivative of a function

Understanding of matrix XOR product

Frechet derivative of a composition of functions over matrices

Product rule for vector-valued functions

Derivative of $f({Z}) = Tr({Z}{U}^T{Z}^T{Z}{U}{Z}^T)$

Jensen inequality for matrix exponential of positive definite matrix (laplacian)

Are dynamic stability and model convergence/divergence separate concepts?

Check the convexity of a function with respect to a matrix.

Inverting a tensor contraction

$A,B,C \in M_n$; $AXB=C$; if $A$ or $B$ singular, a solution $X$ exist iff $\text{rank}\{B^T\otimes A\}=\text{rank}\{B^T\otimes A\,\text{ vec}(C)\}$

How is $\nabla_X \operatorname{Tr}\left\{ X^T A X B\right\} = AXB + A^TXB^T$?

Matrix derivative of $A(x) \left(A(x)^A(x)\right)^{-1} A(x)^$ w.r.t. $x$, where $A(x)$ unknown matrix is a function of $x$?

Derivative of a composite function $\mathbb{R} \to \mathbb{R}^{n\times n} \to \mathbb{R} $

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