An inequality for polynomials with positive coefficients and applications in rational approximation

An Inequality for Polynomials with Positive Coefficients and Applications in Rational Approximation

We extend an inequality of Leviatan and Lubinsky ([3: Theorem 3.1]) to polynomials with positive coefficients. Two applications in approximation by rational functions with prescribed numerators are given.

Factoring Polynomials with Rational Coefficients

In this paper we present a polynomial-time algorithm to solve the following problem: given a non-zero polynomial f e Q[X] in one variable with rational coefficients, find the decomposition of f into irreducible factors in Q[X]. It is well known that this is equivalent to factoring primitive polynomials feZ[X] into irreducible factors in Z[X]. Here we call f ~ Z[X] primitive if the greatest comm...

Approximation by Polynomials with Coefficients

Roots of polynomials with positive coefficients

We describe the limit zero distributions of sequences of polynomials with positive coefficients. We also characterize the polynomials with real coefficients for which some power has positive coefficients. MSC Primary: 30C15, 26C10, secondary: 31A05.

development and implementation of an optimized control strategy for induction machine in an electric vehicle

in the area of automotive engineering there is a tendency to more electrification of power train. in this work control of an induction machine for the application of electric vehicle is investigated. through the changing operating point of the machine, adapting the rotor magnetization current seems to be useful to increase the machines efficiency. in the literature there are many approaches wh...