Brent, RichardGao, ShuhongLauder, Alan G.B.2015-12-080895-4801http://hdl.handle.net/1885/35771Motivated by a connection with block iterative methods for solving linear systems over finite fields, we consider the probability that the Krylov space generated by a fixed linear mapping and a random set of elements in a vector space over a finite fieldKeywords: Boundary conditions; Iterative methods; Linear systems; Problem solving; Set theory; Theorem proving; Finite fields; Krylov spaces; Vectors Finite field; Krylov subspace; Linear transformation; Vector space200310.1137/S089548010139388X2019-04-28