Convergence of bpsd method for T(q, r) matrix

Abstract

In this paper, we obtain a necessary and sufficient condition, when the coefficient matrix A of the equation Ax = f considered is a T(l, 1) matrix, a sufficient condition, when A is a T(l, 2) or T(2, 1) matrix for the convergence of BPSD method. We also obtain the optimum parameters and the optimum rate of convergence of BPSD method, when A is T(l, 1) matrix and a necessary and sufficient condition, when A is positive definite and we point out that the necessary and sufficient condition in [1] and [9] is only sufficient.

Keywords:

• System of linear algebraic equations
• BPSD method
• T (q, r) matrix

C.R. CATEGORIES::

• G.1.3.