New posts in matrix-calculus

Convexity of matrix exponential

real-analysis linear-algebra matrices convex-analysis matrix-calculus

Why the gradient of $\log{\det{X}}$ is $X^{-1}$, and where did trace tr() go??

matrices derivatives matrix-calculus

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

linear-algebra matrices limits matrix-calculus matrix-rank

Neural Network matrix calculus

matrix-calculus neural-networks

Multinomial logistic loss gradient and hessian

partial-derivative matrix-calculus multivariable-calculus derivatives

Gradient of the $ {L}_{2, 1} $ Mixed Norm

linear-algebra matrices derivatives matrix-calculus matrix-norms

Solutions for $A^2=B$

calculus matrices matrix-equations matrix-calculus implicit-function-theorem

Finding the norm of the differential of product matrix function

functional-analysis matrix-calculus

What is the derivative of $\log \det X$ when $X$ is symmetric?

matrices derivatives determinant matrix-calculus scalar-fields

Gradient of $x^{T}Ax$ [duplicate]

matrices multivariable-calculus derivatives matrix-calculus quadratic-forms

Matrix Calculus in Least-Square method

multivariable-calculus derivatives matrix-calculus least-squares

What is the derivative of $\sum_{i,j}^n \langle A^{ij}x_i,x_j \rangle$

multivariable-calculus partial-derivative matrix-calculus

Derivative of a vector with respect to a matrix

calculus linear-algebra matrix-calculus neural-networks

Matrix exponential of a skew-symmetric matrix without series expansion

matrices matrix-calculus matrix-exponential skew-symmetric-matrices

Show that for all $X \in \mathscr{M}_n(\mathbb{C})$ we have that: $\lim\limits_{n \rightarrow \infty}{\left(I + \frac{1}{m}X\right)}^{m} = \exp{X}$

linear-algebra matrices analysis solution-verification matrix-calculus

A matrix calculus problem in backpropagation encountered when studying Deep Learning

optimization matrix-calculus machine-learning gradient-descent

Understanding notation of derivatives of a matrix

linear-algebra matrix-calculus frechet-derivative

Proof for the funky trace derivative : $d (\operatorname{trace} (ABA'C))$?

matrices derivatives matrix-calculus trace scalar-fields

Is the determinant differentiable?

real-analysis matrices derivatives determinant matrix-calculus

Derivative of spectral norm of symmetric matrix

linear-algebra matrices derivatives matrix-calculus spectral-norm