We consider a data matrix X:= CN1∕2ZRM1∕2 from multivariate stationary process with separable covariance function, where CN is N×N positive semi-definite matrix, Z N×M random of uncorrelated standardized white noise, and RM M×M Toeplitz matrix. Under the assumption long range dependence (LRD), we re-examine consistency two toeplitzifized estimators RˆM (unbiased) RˆMb (biased) for RM, which are...

We have identified a difficulty in the implementation of N-version programming. The problem, which we call the Consistent Comparison Problem, arises for applications in which decisions are based on the results of comparisons of finite-precision numbers. We show that when versions make comparisons involving the results of finite-precision calculations, it is impossible to guarantee the consisten...

We discuss a consistent model of pairwise comparison-based non-numerical ranking. An algorithm that enforces consistency for raw or partially organized ranking data is presented and its properties are analysed. The concept of testing subjective rankings is also discussed.

in this paper, we propose and analyze an efficient matrix methodbased on bell polynomials for numerically solving nonlinear fredholm- volterraintegral equations. for this aim, first we calculate operational matrix of integration and product based on bell polynomials. by using these matrices, nonlinearfredholm-volterra integral equations reduce to the system of nonlinear algebraicequations which...

in this paper, a new topology is proposed for three-phase to single-phase matrix converters, where more voltage levels are produced in the output in comparison with the conventional topologies. in addition, a new control method based on minimum error between the generated and the desired output voltages is proposed for three-phase to single-phase matrix converters. in the proposed control metho...