New posts in Matrix Calculus

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

An elegant proof for a claim about orthogonal and positive-definite matrices

Derivative of $\sqrt{AA^T}$ with respect to $A$

Gradient of $\log \left( \det \left( \dfrac {3}{10}I+xx^{T}\right) \right) $

$\operatorname{rank} A = \operatorname{rank} A^2$ if and only if $\lim_{\lambda \to 0} (A+\lambda I)^{-1}A$ exists

Optimizing quadratic form with respect to inner positive definite matrix with a trace constraint

Maximal determinant of $3 \times 3$ matrix where sum of squared entries is $\leq 1$

Derivative of sigmoid function that contains vectors

Solving the matrix equation $X^tA+A^tX=0$ for $X$ in terms of $A$

Calculate the Hessian of a Vector Function