In order to implement wide band frequency sweeping, the S-parameters can be fitted with an adaptive rational interpolation based on Loewner matrix. However, errors in sampling data may lead Froissart doublets, which look like spikes curve. this paper, a novel technique is proposed remove these doublets. At first, expression converted into sum of partial fractions by solving two generalized eige...

Typical panel clustering methods for the fast evaluation of integral operators are based on the Taylor expansion of the kernel function and therefore usually require the user to implement the evaluation of the derivatives of this function up to an arbitrary degree. We propose an alternative approach that replaces the Taylor expansion by simple polynomial interpolation. By applying the interpola...

We consider the robust control problem for the system with real uncertainty. This type of problem can be represented with some parameters varying between the boundaries and is formulated as parametric Nevanlinna-Pick interpolation problem in this paper. The existence of a solution for such interpolation problem depends on the positivity of the corresponding Pick matrix with elements belonging t...

Recent SVD-free matrix factorization formulations have enabled rank optimization for extremely large-scale systems (millions of rows and columns). In this paper, we consider rank-regularized formulations that only require a target data-fitting error level, and propose an algorithm for the corresponding problem. We illustrate the advantages of the new approach using the Netflix problem, and use ...

Composition of the Bernstein polynomials is an important research topic in computer-aided geometric design. This function is useful in implementing evaluation, subdivision, free-form deformation, trimming, conversion between tensor product and Bézier simplex forms, degree raising etc. To accomplish the composition, some numerically stable algorithms were introduced, such as blossoming algorithm...

This paper investigates the convergence condition for the polynomial approximation of rational functions and rational curves. The main result, based on a hybrid expression of rational functions (or curves), is that two-point Hermite interpolation converges if all eigenvalue moduli of a certain r_r matrix are less than 2, where r is the degree of the rational function (or curve), and where the e...

As a continuation of the e cient and accurate polynomial interpolation time-marching technique in one-dimensional and two-dimensional cases, this paper proposes a method to extend it to threedimensional problems. By stacking all two-dimensional (x, y) slice matrices along Z direction, threedimensional derivative matrices are constructed so that the polynomial interpolation time-marching can be ...