#jacobians — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #jacobians, aggregated by home.social.
-
Derivatives, Gradients, Jacobians and Hessians
https://blog.demofox.org/2025/08/16/derivatives-gradients-jacobians-and-hessians-oh-my/
#HackerNews #Derivatives #Gradients #Jacobians #Hessians #MathExplained
-
The real vectorization vec(⋅) stacks the input columns into a vector. The Kronecker product ⊗ is related by vec(ABC) = (Cᵀ ⊗ B) vec(B).
We can similarly define a complex version vecc(⋅) = [vec(Re(⋅)); vec(Im(⋅))], with a corresponding #Kronecker product kroncc(⋅,⋅) such that vecc(ABC) = kroncc(Cᵀ, B) vecc(B).
Does anyone know of any literature that discusses the relevant properties of vecc and kroncc? They naturally appear when computing #Jacobians of functions of complex matrices.