As people age, physical and mental abilities begin to degenerate. This often leads to disabilities. Many family members may not always be able to help the elderly, and home medical care can be discouragingly expensive. Currently, there are existing agencies that provide companionship services for the elderly by sending hired staff to the homes of elderly people who choose to live independently....

Resistive companion (RC) modeling is an easy-to-use approach for electric circuit simulations. With a RC numerical solver, simulations of complex electric systems can be achieved based on RC models. In this study, the construction of RC battery models is investigated. A general battery model and a nickel±metal hydride cell model have been built. Simulations of RC battery models on virtual test ...

Objective- To determine the prevalence of nutritional secondary hyperparathyroidism (NSH) in companion and stray cats of Ahvaz.   Design- Clinical study. Animals- 80 cats (companion=40 and stray=40) Procedures- This survey was accomplished during a two-year period and based on clinical, radiographic and laboratory findings between 2005 and 2007. The studied cats were divided into two gener...

The class of eigenvalue problems for upper Hessenberg matrices of banded-plus-spike form includes companion and comrade matrices as special cases. For this class of matrices a factored form is developed in which the matrix is represented as a product of essentially 2 × 2 matrices and a banded upper-triangular matrix. A non-unitary analogue of Francis’s implicitly-shifted QR algorithm that prese...

Abstract. Experimental observations of univariate rootfinding by generalized companion matrix pencils expressed in the Lagrange basis show that the method can sometimes be numerically stable. It has recently been proved that a new condition number, defined for points on a set containing the interpolation points, is never larger than the rootfinding condition number for the Bernstein polynomial ...

In this paper we study Stein equations where the coefficient matrices are in companion form. Solutions to such equations are relatively easy to compute as soon as one knows how to invert a Vandermonde matrix (in the generic case where all eigenvalues have multiplicity one) or a confluent Vandermonde matrix (in the general case). As an application we present a way to compute the Fisher informati...

This lecture introduces the Jordan canonical form of a matrix — we prove that every square matrix is equivalent to a (essentially) unique Jordan matrix and we give a method to derive the latter. We also introduce the notion of minimal polynomial and we point out how to obtain it from the Jordan canonical form. Finally, we make an encounter with companion matrices. 1 Jordan form and an applicati...

We consider a total reduction of a nonhomogeneous linear system of operator equations with the system matrix in the companion form. Totally reduced system obtained in this manner is completely decoupled, i.e., it is a system with separated variables. We introduce a method for the total reduction, not by a change of basis, but by finding the adjugate matrix of the characteristic matrix of the sy...