In this paper we consider the problem of finding the number of zeros of a polynomial in a prescribed region by subjecting the real and imaginary parts of its coefficients to certain restrictions.doi:10.1137/1018120M.H.GulzarSiam ReviewMoham...
In this work the zeros of a sequence of polynomials that arise in convergence acceleration and some new numerical quadrature formulas are studied. In particular, it is proved that those polynomials that arise in numerical quadrature have all their zeros on [0, 1] and that they are simple, and...
ZEROS OF CHARACTERS ON PRIME ORDER ELEMENTS FINITE groupsQUATERNIONSSuppose that G is a finite group, let χ be a faithful irreducible character of degree a power of p and let P be a Sylow p... A Moretó1*,G Navarro2? - 《Communications in Algebra》 被引量: 2发表: 2001年 On zeros...
On the zeros of a polynomial and its derivative ON THE ZEROS OF A POLYNOMIAL AND ITS DERIVATIVE then every zero of the derivativeP'{z) is contained in the smallest convex set that contains S. This theor... AW Goodman,QIRS Ratti - 《Proceedings of the American Mathematical Society》 被引...
A method is presented for determining the poles and zeros of the transfer function describing the attitude dynamics of a flexible spacecraft characterized by hybrid coordinate equations. It is shown that the problem reduces to that of fi... Y Ohkami,PW Likins - 《International Journal of Control...
We construct the sequence of orthogonal polynomials with respect to an inner product defined in the sense of $q$-integration over several intervals in the complex plane. For such introduced polynomials we prove that all zeros lie in the smallest convex hull over the intervals in the complex plane...
X 6 − X 5 − X 4 − X 3 + X + 1.In 1971, C.J. Smyth [Sm1] solved the Lehmer’s question in the special case of non reciprocalalgebraic numbers. Recall that an algebraic number is reciprocal when its minimal polynomialP is a reciprocal polynomial: P(X) = X deg(P) .P...
A symbolic algorithm based on the generalized Lucas polynomials of first kind is used in order to compute the Newton sum rules for the zeros of polynomial ... T Isoni,P Natalini,PE Ricci - 《Numerical Algorithms》 被引量: 19发表: 2001年 On the regularity of the partial {$O\\sp *$}...
Distribution of the zeros of solutions of a linear differential equation We consider the class of all polynomial systems having a conic center (i.e. all periodic orbits round the center are conics). It is proved that all such sy... AJ Levin 被引量: 50发表: 1964年 On the zeros of solu...
On the number of the rational zeros of linearized polynomials and the second-order nonlinearity of cubic Boolean functions Determine the number of the rational zeros of any given linearized polynomial is one of the vital problems in finite field theory, with applications in mod... S Mesnager,KH...