In univariate Padé approximation we learn from the Froissart phenomenon that Padé approximants to perturbed Taylor series expansions of rational functions exhibit almost cancelling polezero combinations that are unwanted. The location of these pole-zero pairs is given by the socalled Froissart polynomial. In this paper the occurrence of the Froissart phenomenon is explored for the first time in...

In this paper, we present rational approximations based on Fourier series representation. For periodic piecewise analytic functions, the well-known Gibbs phenomenon hampers the convergence of the standard Fourier method. Here, for a given set of the Fourier coefficients from a periodic piecewise analytic function, we define Fourier–Padé–Galerkin and Fourier–Padé collocation methods by expressin...

The Baker–Gammel-Wills Conjecture states that if a function f is meromorphic in a unit disk D, then there should, at least, exist an infinite subsequence N ⊆ N such that the subsequence of diagonal Padé approximants to f developed at the origin with degrees contained in N converges to f locally uniformly in D/{poles of f }. Despite the fact that this conjecture may well be false in the general ...

For some linear mechanical systems, which can be written as a dyadic transfer function matrix (DTM), MIMO controller design can be reduced to a number of SISO designs. Internal stability of the SISO designs guarantees stability of the resulting MIMO controller. By relating the insights from modal analysis to system theory, necessary and sufficient conditions are derived for linear mechanical sy...

This paper proposes a new approach for constructing digital terrain models (DTM) from the point-clouds generated from airborne stereo-pair images. The method uses data decomposition based on the differential attribute profiles and Θ-mapping for the extraction of the most-contrasted connected-components. Their filtering is achieved based on multicriterion threshold function. The method is evalua...

This paper presents a research and development project that will provide an extension to 2D geo-databases for handling large terrain data. It first discusses application requirements and system design, and then elaborates system architecture for optimal data organization and updating, efficient multi-resolution queries, and dynamic DTM generation. It then addresses technical issues related to d...