ABSTRACT
A new class of inner-outer iterative procedures in conjunction with conjugate gradient-type schemes based on normalized approximate factorization procedures for solving sparse linear systems of irregular structure, which are derived from the finite element method of biharmonic equations in three space variables, is introduced. Normalized implicit preconditioned conjugate gradient-type methods are presented, for the efficient solution of linear sparse systems. Applications of the method on a three-dimensional biharmonic problem are discussed and numerical results are given. The parallel implementation on symmetric multiprocessor systems of the forward and backward substitution for the decomposition factors is also investigated.