Szegö functions and multipoint Padé approximation

On Padé Approximation of Some Practical Functions

on padé approximation of some practical functions

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An Interpolation Approximation for the GI/G/1 Queue Based on Multipoint Padé Approximation

The performance evaluation of many complex manufacturing, communication and computer systems has been made possible by modeling them as queueing systems. Many approximations used in queueing theory have been drawn from the behavior of queues in light and heavy tra c conditions. In this paper, we propose a new approximation technique, which combines the light and heavy tra c characteristics. Thi...

Analysis of Probabilistic Systems via Generating Functions and Padé Approximation

We investigate the use of generating functions in the analysis of discrete Markov chains. Generating functions are introduced as power series whose coefficients are certain hitting probabilities. Being able to compute such functions implies that the calculation of a number of quantities of interest, including absorption probabilities, expected hitting time and number of visits, and variances th...

An operator approach to multipoint Padé approximations

First, an abstract scheme of constructing biorthogonal rational systems related to some interpolation problems is proposed. We also present a modification of the famous step-by-step process of solving the NevanlinnaPick problems for Nevanlinna functions. The process in question gives rise to three-term recurrence relations with coefficients depending on the spectral parameter. These relations c...