BLOCK VECTORIZABLE PRECONDITIONED ITERATIVE METHODS

Abstract

ABSTRACT In this paper the algorithms of the Block Vectorizable Preconditioned iterative Method for linear systems of the form A× = f are proposed, when A is block tridiagonal matrix. The convergence of these iterative methods is analysed, when A is an M matrix or H matrix- The resulting BVPI method has been tested on a YH-1 computer. Numerical examples indicates that the new method is very efficient, since the vectorial computational can be applied.