The Successive Band Reduction method (SBR method) is a tridiagonalziation method for a given symmetric band matrix with an orthogonal similarity transformation. The number of floating point operations (FLOPs) for the SBR method depends on the parameter, which is arbitrarily given by users, used in the method. This paper investigates the performance of the SBR method with the minimal FLOPs parameter. We show that the parameter optimization time is much shorter than the time for the matrix reduction and that the total execution time of the SBR method with minimal FLOPs is comparably short to the best case of it with heuristically determined parameters on a modern multicore CPU Intel Core i9-12900KF.