Abstract: The algorithms of Vectorizable PE Method for linear systems of the form Ax=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 VPE method has been tested on YH-1 computer. Numericla examples indicate that the new method is very efficient, since the vectorial computation can be applied.

Key words: VPE method, linear system, Vectorizable, M-matrix, H-matrix