List questions from matrix-calculus

313

Views

The closest matrix to a given matrix in $\text{SO}(n)$ is unique iff the smallest singular value is a strict minimum

Published on 27 Mar 2026 - 2:35

404

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Relationship between Hadamard and Inner Product

Published on 25 Mar 2026 - 17:38

42

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Are there formalisms for partial derivatives of scalar functions w.r.t several vectors?

Published on 23 Dec 2019 - 17:48

362

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Characterizing the dual cone of the squares of skew-symmetric matrices

Published on 25 Mar 2026 - 3:21

192

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Is this condition on the eigenvalues of a matrix rigid under orthogonal multiplication?

Published on 27 Mar 2026 - 2:39

67

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Reference for the degenerate orthogonal Procrustes problem

Published on 27 Mar 2026 - 2:38

208

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Derivative of a matrix multiplied by its transpose

Published on 28 Dec 2019 - 12:01

48

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The gradient of $\| x - \alpha \nabla f(x) \|_2^2$ with respect to $x$?

Published on 28 Dec 2019 - 13:52

102

Views

Matrix derivative $\frac{∂(Σm_{ik}m_{jk})}{∂m_{xy}}=2m_{xy}$?

Published on 28 Dec 2019 - 16:27

146

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Values of integer such that a matrix equality does hold

Published on 28 Dec 2019 - 19:38

288

Views

Gradient of Coefficient of Variance

Published on 29 Mar 2026 - 4:47

282

Views

How to do matrix division if the denominator matrix is non-invertible?

Published on 26 Mar 2026 - 16:56

192

Views

Sum of squares of skew-symmetric matrices which is not a square itself

Published on 27 Mar 2026 - 5:27

66

Views

Proof of the solution spaces of the homogenous systems being coincident

Published on 25 Mar 2026 - 9:43

229

Views

Proof of $(\mathrm{Df}(X))(H)=XH+HX$

Published on 03 Jan 2020 - 3:56

List Question

The closest matrix to a given matrix in $\text{SO}(n)$ is unique iff the smallest singular value is a strict minimum

Relationship between Hadamard and Inner Product

Are there formalisms for partial derivatives of scalar functions w.r.t several vectors?

Characterizing the dual cone of the squares of skew-symmetric matrices

Is this condition on the eigenvalues of a matrix rigid under orthogonal multiplication?

Reference for the degenerate orthogonal Procrustes problem

Derivative of a matrix multiplied by its transpose

The gradient of $\| x - \alpha \nabla f(x) \|_2^2$ with respect to $x$?

Matrix derivative $\frac{∂(Σm_{ik}m_{jk})}{∂m_{xy}}=2m_{xy}$?

Values of integer such that a matrix equality does hold

Gradient of Coefficient of Variance

How to do matrix division if the denominator matrix is non-invertible?

Sum of squares of skew-symmetric matrices which is not a square itself

Proof of the solution spaces of the homogenous systems being coincident

Proof of $(\mathrm{Df}(X))(H)=XH+HX$

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