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 ...

Matrix functions, such as the exponential, square root and cosine, play an indispensable role in various fields including quantum mechanics, control theory and numerical solution of differential ...

Abstract: Matrix exponential has many applications in science and engineering, including in the solution of differential equations and transient analysis of continuous-time Markov chains. One of 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 ...

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 ...

The equiangular spiral is an example of a simple but fascinating scalar exponential function. The author explains how the scalar exponential can be extended to the multidimensional matrix case to ...