# Matrix Function - MFN

Matrix Function (MFN) is the object provided by SLEPc for computing the action of a matrix function on a vector. Given a matrix $A$ and a vector $b$, the call MFNSolve(mfn,b,x) computes $x=f(A)b$, where $f$ is a function such as the exponential.

Examples

ex23.c: Computes exp(t*A)*v for a matrix associated with a Markov model.
ex23f.F90: Computes exp(t*A)*v for a matrix from a Markov model.
ex26.c: Computes the action of the square root of the 2-D Laplacian.
ex37.c: Computes exp(t*A)*v for an advection diffusion operator with Peclet number.
ex39.c: Exponential integrator for the heat equation with source term.