Explicit isomorphic iterative methods for solving arrow-type linear systems

A new class of approximate inverse arrow-type matrix techniques based on th e concept of sparse approximate LU-type factorization procedures is introdu ced for computing explicitly approximate inverses without inverting the dec omposition factors. Isomorphic methods in conjunction with explicit precond itioned schemes based on approximate inverse matrix techniques are presente d for the efficient solution of arrow-type linear systems. Applications of the proposed method on linear systems is discussed and numerical results ar e given.