List questions from matrix-calculus

Published on 28 Aug 2019 - 16:49

716

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Differentiating scalar, product of matrix and Hadamard multiplications, applying product and chain rule?

Published on 25 Mar 2026 - 14:36

154

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Divide two matrices

Published on 29 Aug 2019 - 14:24

1.6k

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Proof that the product of a symmetric matrix and its transpose is also symmetric

Published on 01 Sep 2019 - 15:24

218

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Gradient of $a'Xa$ not equal to $2Xa$

Published on 26 Mar 2026 - 19:05

194

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Derivative of $Axb^TC$ with respect to x

Published on 04 Sep 2019 - 14:33

1.5k

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How to prove function $f(X) := \text{tr} \left( X^{-1} A \right)$ is convex?

Published on 05 Sep 2019 - 21:38

60

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Matrix equality with identity

Published on 06 Sep 2019 - 2:08

89

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Is this a valid diffeomorphism of $SU(3)$?

Published on 25 Mar 2026 - 11:01

580

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Can the (numerically calculated) matrix logarithm of a real matrix be complex?

Published on 27 Mar 2026 - 10:46

52

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Derivative of $a^T X^{-1} b$ with respect to $X$

Published on 10 Sep 2019 - 9:12

141

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Finding the partial derivative of $\frac{\partial}{\partial x_i} (\mathbb{x}^T\mathbb{A}\mathbb{x})$

Published on 26 Mar 2026 - 19:05

125

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Asymptotic equivalence for a matrix inverse depending on a time parameter

Published on 26 Mar 2026 - 20:39

50

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matrix function disturbance approximation

Published on 28 Mar 2026 - 13:22

231

Views

Differentiation of Scalar with respect to Vector, Second Order, involving Hadamard Products

Published on 27 Mar 2026 - 15:19

List Question

How to derive and compute second derivative of matrix quadratic form?

Differentiating scalar, product of matrix and Hadamard multiplications, applying product and chain rule?

Divide two matrices

Proof that the product of a symmetric matrix and its transpose is also symmetric

Gradient of $a'Xa$ not equal to $2Xa$

Derivative of $Axb^TC$ with respect to x

How to prove function $f(X) := \text{tr} \left( X^{-1} A \right)$ is convex?

Matrix equality with identity

Is this a valid diffeomorphism of $SU(3)$?

Can the (numerically calculated) matrix logarithm of a real matrix be complex?

Derivative of $a^T X^{-1} b$ with respect to $X$

Finding the partial derivative of $\frac{\partial}{\partial x_i} (\mathbb{x}^T\mathbb{A}\mathbb{x})$

Asymptotic equivalence for a matrix inverse depending on a time parameter

matrix function disturbance approximation

Differentiation of Scalar with respect to Vector, Second Order, involving Hadamard Products

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