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.
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