Pade approximations to Rician statistical functions

Order Reduction using Modified Pole Clustering and Pade Approximations

The authors present a mixed method for reducing the order of the large-scale dynamic systems. In this method, the denominator polynomial of the reduced order model is obtained by using the modified pole clustering technique while the coefficients of the numerator are obtained by Pade approximations. This method is conceptually simple and always generates stable reduced models if the original hi...

System Reduction by Eigen Permutation Algorithm and Improved Pade Approximations

A mixed method by combining a Eigen algorithm and improved pade approximations is proposed for reducing the order of the large-scale dynamic systems. The most dominant Eigen value of both original and reduced order systems remain same in this method. The proposed method guarantees stability of the reduced model if the original high-order system is stable and is comparable in quality with the ot...

On polynomials related with Hermite - - Pade approximations to the exponential function

We investigate the polynomials P n ; Q m and R s , having degrees n; m and s respectively, with P n monic, that solve the approximation problem E nms (x) := P n (x)e ?2x + Q m (x)e ?x + R s (x) = O(x n+m+s+2) as x ! 0: We give a connection between the coeecients of each of the polynomials P n ; Q m and R s and certain hypergeometric functions, which leads to a simple expression for Q m in the c...

Polynomial Approximations to Bessel Functions

A polynomial approximation to Bessel functions that arises from an electromagnetic scattering problem is examined. The approximation is extended to Bessel functions of any integer order, and the relationship to the Taylor series is derived. Numerical calculations show that the polynomial approximation and the Taylor series truncated to the same order have similar accuracies.

Triangular approximations of fuzzy number with value and ambiguity functions