P. Tzekis

On the Computation of the GCD of 2-D Polynomials

On the Computation of the GCD of 2-D Polynomials The main contribution of this work is to provide an algorithm for the computation of the GCD of 2-D polynomials, based on DFT techniques. The whole theory is implemented via illustrative examples.

On the computation of the minimal polynomial of a two-variable polynomial matrix

The main contribution of this paper is to provide an algorithm for the computation of the minimal polynomial of a two variable polynomial matrix, based on the solution of linear matrix equations. The whole theory is implemented via an illustrative example.

A web-based melanoma image diagnosis support system using topic map and AJAX technologies

The design and implementation of a web-based diagnostic support tool for melanoma dermatological images and related diagnostic data is presented. The proposed system is semantic web-based and is driven by exploiting the combination of AJAX framework and topic map technology. A novel client/server architecture was developed that enables several clients to interact online with the topic map-based system. Users have the ability to access the system anywhere and anytime via a simple Internet browser. Additionally, an ABCD application has been developed for automated calculation of ABCD parameters and consequently embedded in the proposed TM-based system.

On the Computation of the Response of Perturbed Discrete Time Descriptor Systems

Abstract Descriptor systems provide the natural framework for the study of a wide variety of physical, electrical, mechanical, economical and social systems. In this paper, the response of a Linear Time Invariant (LTI), descriptor system in discrete-time over a finite time interval is examined, whose coefficient matrix on the right hand side of the descriptor equation has been perturbed by a constant matrix. The response of the perturbed system is explicitly computed using a modified version of the well known Weierstrass canonical form and a simplified approximation formula is derived. A numerical example illustrates the findings.

Computation of the general solution of a multivariate polynomial matrix Diophantine equation

The algorithm presented in [21] provides a method for the computation of the general solution of a polynomial matrix Diophantine equation. In this work we extend this algorithm for the n-D PMDE. We present a method to efficiently address the division of multivariate polynomials. The theory is implemented via illustrative examples.

Symbolic manipulation of rational matrices and applications

Rational matrices are extensively used in the analysis, synthesis and design of control systems. The main purpose of this work is to present useful symbolic computational tools for the study of the structure of rational matrices and furthermore for the solution of basic synthesis control problem.