Approximate inverse banded matrix techniques

A new class of approximate inverse banded matrix techniques based on the co ncept of LU-type factorization Procedures is introduced for computing expli citly approximate inverses without inverting the decomposition factors. Exp licit preconditioned iterative schemes in conjunction with approximate inve rse matrix techniques are presented for the efficient solution of banded li near systems. Applications of the method on a linear system are discussed a nd numerical results are given.