New posts in matrix-calculus

Why the order of Chain Rule all weird in matrix derivatives behind machine learning?

matrix-calculus chain-rule

Gradient of a matrix?

matrix-calculus

How to take the derivative of a matrix with respect to itself?

linear-algebra derivatives matrix-calculus

How to calculate the derivative of log det matrix?

matrices matrix-calculus

Determinant of matrix with binomial coefficients entries

linear-algebra matrices determinant matrix-calculus matrix-decomposition

Continuity of an "SVD" operator

calculus linear-algebra continuity matrix-calculus svd

Solution to a matrix-valued ODE is invertible at all times assuming it is at a given time.

ordinary-differential-equations matrix-equations matrix-calculus

every real symmetric matrix has at least one real eigenvalue. [duplicate]

linear-algebra matrices matrix-calculus

Second order approximation of log det X

matrices matrix-calculus hessian-matrix scalar-fields

If $f(A)\to A^{-1}$, prove that $f$ is continuous.

real-analysis continuity matrix-calculus

How to compute time ordered Exponential?

matrices ordinary-differential-equations multivariable-calculus exponential-function matrix-calculus

How to find the derivative of the commutator map?

matrices derivatives matrix-calculus

Chain rule and derivative with matrix product?

matrices derivatives matrix-calculus chain-rule hadamard-product

Find eigenvalue of $B= I + A^{-1}+A^{-2}+A^{-3}+...$

linear-algebra sequences-and-series matrices eigenvalues-eigenvectors matrix-calculus

Calculating matrix exponential

linear-algebra matrices matrix-calculus matrix-exponential

Prove that if $\operatorname{rank}A=n$, then $\operatorname{rank}AB=\operatorname{rank}B$

linear-algebra matrices matrix-calculus

Compute the derivative of $\mbox{tr}(AXB)$ with respect to $X$

matrices derivatives matrix-calculus trace scalar-fields

Proving Nonhomogeneous ODE is Bounded

real-analysis analysis ordinary-differential-equations dynamical-systems matrix-calculus

convexity of matrix "soft-max" (log trace of matrix exponential)

convex-analysis convex-optimization matrix-calculus

Compute the derivative of $f (x) := Ax$ w.r.t. matrix $A$ [closed]

linear-algebra multivariable-calculus vectors matrix-calculus