We classify all circulant weighing matrices whose order and weight are products of powers of 2 and 3. In particular, we show that proper CW(v, 36)’s exist for all v ≡ 0 (mod 48), all of which are new.

It is known that the second dominant eigenvalue of a matrix determines the convergence rate of the power method. Though ineffective for general eigenvalue computation, the power method has been of practical usage for computing the stationary distribution of a stochastic matrix. For a Markov chain with memory m, the transition “matrix" becomes an order-m tensor. Under suitable assumptions, the s...

this paper addresses the problem of testing simple hypotheses about the mean of a bivariate normal distribution with identity covariance matrix against restricted alternatives. the lrts and their power functions for such types of hypotheses are derived. furthermore, through some elementary calculus, it is shown that the power function of the lrt satisfies certain monotonicity and symmetry prope...

In this paper modeling, computer simulation, design approach and analysis for matrix converters input filter are presented. This filter design procedure makes possible to achieve the required EMI attenuation, the desired power factor and a high efficiency with a significant filter size reduction and minimum cost components. Also it is presented analyses of the main parameters correlated with ra...