This project demonstrates the concept of Matrix Exponentiation and its application in solving problems efficiently. Specifically, it illustrates how matrix exponentiation can be used to calculate the ...

Abstract: We consider a generalization of the Laplace transform of Poisson shot noise defined as an integral transform with respect to a matrix exponential. We denote this as the matrix Laplace ...

Abstract: A limiting property of the matrix exponential is proven: if the (1,1)-block of a 2-by-2 block matrix becomes “arbitrarily small” in a limiting process, the matrix exponential of that matrix ...

This is a preview. Log in through your library . Abstract A distribution G on (0, ∞) is called matrix-exponential if the density has the form $\boldsymbol{\alpha}\mathbf{\mathit{e}}^{{\bf T}z}$ s ...

Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form ...