This paper presents an application of control theory and μ-analysis to stability analysis of optical communication networks. The network transfer matrix representation is used and simplified so that the propagation time-delay is isolated on a link-by-link basis. The optical network stability problem is reformulated as a robust stability problem. Sufficient stability conditions are developed by ...

Recently the authors have presented the d-transformation which has proved to be very efficient in accelerating the convergence of a large class of infinite series. In this work the d-transformation is modified in a way that suits power series. An economical method for computing the rational approximations arising from the modified transformation is developed. Some properties of these approximan...

Many important problems in the processing of Magnetic Resonance data can be reduced to well known ill-posed inverse problems. MR relaxometry, spectroscopy and MR image formation problems can be formulated respectively as the numerical inversion of Laplace transform, the modal analysis problem and the truncated trigonometric moment problem. A unified framework to efficiently solve these problems...

We investigate the convergence of the rows (fixed denominator degree) of the Walsh array of best rational approximants to a meromorphic function. We give an explicit algorithm for determining when convergence is guaranteed and obtain rates of convergence.in the appropriate cases. This algorithm also provides the solution to an integer programming problem that arises in the study of Pade approxi...

Analytical solutions are attractive for parametric studies and consideration of the problems physics. In addition, analytical solutions can be employed as a reference framewo...

BACKGROUND Medication errors occur frequently in the intensive care unit (ICU) and during care transitions. Chronic medication is often temporarily stopped at the ICU. Unfortunately, when the patient improves, the restart of this medication is easily forgotten. Moreover, temporal ICU medication is often unintentionally continued after ICU discharge. Medication reconciliation could be useful to ...

We study the construction of a quadrature rule which allows the simultaneous integration of a given function with respect to different weights. This construction is built on the basis of simultaneous Padé approximation of a Nikishin system of functions. The properties of these approximants are used in the proof of convergence of the quadratures and positivity of the corresponding quadrature coe...