Univariate polynomial root-finding is both classical and important for modern computing. Frequently one seeks just the real roots of a polynomial with real coefficients. They can be approximated at a low computational cost if the polynomial has no nonreal roots, but typically nonreal roots are much more numerous than the real ones. We dramatically accelerate the known algorithms in this case by...

In this work, some new inequalities for the numerical radius of block n-by-n matrices are presented. As an application, bounding zeros polynomials using Frobenius companion matrix partitioned by Cartesian decomposition method is proved. We highlight several examples showing that our approach to could be very effective in comparison with most famous results as well recent presented field. Finall...

A bstract We study the perturbative S-matrix of closed strings in two-dimensional type 0B string theory from worldsheet perspective, by directly integrating correlation functions $$ \mathcal{N} N = 1 Liouville theory. The latter is computed numerically using recurrence relations for super-Virasoro conformal b...

The aim of this paper is to extend recent works devoted the study effect 3D pores concave shape embedded in isotropic matrix case transversely (TI) matrix. In first part paper, approximate relations for compliance contribution tensor two reference shapes, supersphere and axisymmetrical superspheroid, are developed on basis Finite Element Modelling, recently presented a companion known exact sol...

in order to study the effects of different sowing dates by some of companion crops on the weeds control, morphological traits and yield of corn sc 504, a field experiment was carried out of research field at tabriz university during 2010 growing season. treatments were arranged in a factorial experiment using randomized complete blocks design with three replicatins. factors was include four lev...

We calculate the autocorrelation functions (or shifted moments) of the characteristic polynomials of matrices drawn uniformly with respect to Haar measure from the groups U(N), O(2N) and USp(2N). In each case the result can be expressed in three equivalent forms: as a determinant sum (and hence in terms of symmetric polynomials), as a combinatorial sum, and as a multiple contour integral. These...

Einführung: Unter Companion-Systemen verstehen wir kognitive technische Systeme, die ihre Funktionalität vollkommen individuell auf den jeweiligen Nutzer abstimmen: Sie orientieren sich an seinen Fähigkeiten, Vorlieben, Anforderungen und aktuellen Bedürfnissen und stellen sich auf seine Situation und emotionale Befindlichkeit ein. Sie sind stets verfügbar, kooperativ und vertrauenswürdig und tr...

A standard way of dealing with a matrix polynomial P (λ) is to convert it into an equivalent matrix pencil – a process known as linearization. For any regular matrix polynomial, a new family of linearizations generalizing the classical first and second Frobenius companion forms has recently been introduced by Antoniou and Vologiannidis, extending some linearizations previously defined by Fiedle...

in recent times increasing occurrence of dermatophytosis, especially among the school children in eastern india was evidenced along with increased tendency of keeping companion animals such as dogs and cats. this study was undertaken to detect the occurrence of dermatophytes with antifungal susceptibility among the companion animals. a total of 1501 healthy companion animals comprising 1209 dog...

In this short communication we suggest an alternative for root tracking algorithms that compute the roots explicitly. The proposed method is based on rst using any preferred algorithm to track the transversal model parameters and the subsequent use of the second order perturbation expansion for the associated companion matrix to approximate a single root of interest. The tracking of a single ro...