Already for a long time it is known that quaternionic polynomials whose coefficients are located only at one side of the powers, may have two classes of zeros: isolated zeros and spherical zeros. Only recently a classification of the two types of zeros and a means to compute all zeros of such polynomials have been developed. In this investigation we consider quaternionic polynomials whose coeff...

Image data set from a multi-spectral animal imaging system is used to address two issues: (a) registering the oscillation in optical coherence tomography (OCT) images due mouse eye movement and (b) suppressing shadow region under thick vessels/structures. Several classical AI-based algorithms combination are tested for each task see their compatibility with combined system. Hybridization of AI ...

Single-input single-output (SISO), systems with zeros interlacing poles (ZIP) have been extensively studied in the literature and received interest widely. However, ZIP property for multiple-input multiple-output (MIMO), has not pursued sufficiently. In this article, we pursue MIMO link to strict passivity. For class of that admit a symmetric state-space realization, which SISO case is equivale...

We investigate the polynomials P n ; Q m and R s , having degrees n; m and s respectively, with P n monic, that solve the approximation problem E nms (x) := P n (x)e ?2x + Q m (x)e ?x + R s (x) = O(x n+m+s+2) as x ! 0: We give a connection between the coeecients of each of the polynomials P n ; Q m and R s and certain hypergeometric functions, which leads to a simple expression for Q m in the c...

We report on an eKcient numerical technique for directly locating transmission resonances and zeros in semiconductor heterostructures using tight-binding multiband models. The quantum transmitting boundary method is employed to generate the inverse of the retarded Green's function G (E) in. the tight-binding representation. The poles of G (E) are located. by solving a nonlinear non-Hermitian ei...

Abstract. Partition function or Fisher zeros play a fundamental role in the theory of phase transitions in models in classical statistical mechanics. In this paper the properties of partition function zeros in a square lattice self-avoiding walk model of polymer adsorption are presented. Some results constraining the distribution of zeros in the complex plane, based on mathematical results on t...

Given a multivariate compactly supported distribution φ, we derive here a necessary and sufficient condition for the global linear independence of its integer translates. This condition is based on the location of the zeros of φ̂ = The Fourier-Laplace transform of φ. The utility of the condition is demonstrated by several examples and applications, showing in particular, that previous results on...

Jk(T ) is clearly de­ ned for all k > 0, and, on the additional assumption that all the zeros are simple, for all k < 0. It has previously been studied by Gonek (1984, 1989, 1999) and Hejhal (1989), and is discussed in Odlyzko (1992, x 2.12) and Titchmarsh (1986, x 14). The model proposed by Keating & Snaith (2000) is the characteristic polynomial of an N £ N unitary matrix U with eigenangles 3...

In this paper, we develop new families of sixth-order methods for solving simple zeros of non-linear equations. These methods are constructed such that the convergence is of order six. Each member of the families requires two evaluations of the given function and two of its derivative per iteration. These methods have more advantages than Newton’s method and other methods with the same converge...

We present a simple and efficient method for computing zeros of spline functions. The method exploits the close relationship between a spline and its control polygon and is based on repeated knot insertion. Like Newton’s method it is quadratically convergent, but the new method overcomes the principal problem with Newton’s method in that it always converges and no starting value needs to be sup...