Multilevel methods have been studied extensively for solving certain partial differential equations, and such equation solvers have been successfully applied to major computational problems of physical interest and technological importance. KLEV is a collection of routines for solving the

system of linear equations

when

and

are discretizations of some partial differential equation. The current release includes a direct method, iterative methods, and multilevel methods. A brief review of multilevel methods and an overview of the implementation are presented.