In this note, the sequence of the interarrivals of a stationary Markovian Arrival process is shown to be ρ-mixing with a geometric rate of convergence when the driving process is ρ-mixing. This provides an answer to an issue raised in the recent paper [4] on the geometric convergence of the autocorrelation function of the stationary Markovian Arrival process. keywords: Markov renewal process AM...

In this paper, the modified Gauss-Seidel method with the new preconditioner for solving the linear system Ax = b, where A is a nonsingular M -matrix with unit diagonal, is considered. The convergence property and the comparison theorems of the proposed method are established. Two examples are given to show the efficiency and effectiveness of the modified Gauss-Seidel method with the presented n...

A preconditioned Jacobi (PJ) method is provided for solving fuzzy linear systems whose coefficient matrices are crisp M matrices and the right-hand side columns are arbitrary fuzzy number vectors. The iterative algorithm is given for the preconditioned Jacobi method. The convergence is analyzed with convergence theorems. Numerical examples are given to illustrate the procedure and show the effe...

Urban expansion is not only reflected in the increase horizontal urban area, but also vertical height, that is, city’s expansion. Exploring spatiotemporal evolution of and its influencing factors critical for furthering research. This paper characterized degree using floor area ratio (FAR) newly added residential land Jiangsu Province, China, from 2009 to 2018, discussed characteristics, region...

We study the development of conjunctive keyword searchable scheme which enables one to search encrypted documents by using more than one keyword. The notion of conjunctive keyword searching was presented by Golle et al. in 2004. However, their security model was constructed in a symmetric-key setting which is not applicable for the overall applications in the reality. So Park et al. extended Go...

In this paper we present several proofs on the extension of M. Riesz fractional integration and di¤erentiation to the contexts of spaces of homogeneous type and measure metric spaces with non-doubling measures. 1. Introduction, some de…nitions, and a basic lemma Professor M. Ash asked me to write a survey article on some of the results that Stephen Vági and I obtained in the nineties on fractio...

Article Information To assess sexual behaviour, attitudes and risk perception about HIV/AIDS among out-of-school anti-AIDS club member and non-member youths in Mettu and Bedelle towns. The study applied a case control study design. The cases are club members those registered in the out-of-school anti-AIDS clubs and actively participated for at least one year. Controls are non-club member who ha...

In this paper, we present two new one-step iterative methods based on Thiele’s continued fraction for solving nonlinear equations. By applying the truncated Thiele’s continued fraction twice, the iterative methods are obtained respectively. Analysis of convergence shows that the new methods are fourth-order convergent. Numerical tests verifying the theory are given and based on the methods, two...