New posts in Matrix Calculus

Matrix equation with diagonal matrix

Difficult matrix equation $A(x-x_0) + \alpha\left(\frac{\Sigma x}{\mu^\top x}\right) = 0$

The matrix $B = \left(\begin{smallmatrix}A& 0\\A & A\end{smallmatrix}\right)$ is diagonalizable, if only if $A$ is diagonalizable.

Calculating matrix exponential

An open set invariant under a linear map implies it is an isometry or of finite order?

Existence of differentiable matrix maps $M(3,\mathbb{R}) \rightarrow M(3,\mathbb{R})$

Gradient of $\mbox{dist}\left(x, D \right)^2:= \left\| x - P_{D}(x)\right\|_2^2$, where $P_{D}(x)$ is a projection operator

Derivative of $(uA+C)^{-1}\mathbf{b}$ w.r.t. $u\in\mathbb{R}$

Gradient of $A \mapsto \sigma_i (A)$

Values of integer such that a matrix equality does hold