A regular matrix pencil sE − A and its rank one perturbations are considered. We determine the sets in C ∪ {∞} which are the eigenvalues of the perturbed pencil. We show that the largest Jordan chains at each eigenvalue of sE − A may disappear and the sum of the length of all destroyed Jordan chains is the number of eigenvalues (counted with multiplicities) which can be placed arbitrarily in C∪...

To understand the solution of a linear, time-invariant differential-algebraic equation (DAE), one must analyze a matrix pencil (A,E) with singular E. Even when this pencil is stable (all its finite eigenvalues fall in the left half-plane), the solution can exhibit transient growth before its inevitable decay. When the equation results from the linearization of a nonlinear system, this transient...

Electrochemical oxidation of tramadol at pencil graphite electrode has been investigated using cyclic, differential pulse and square wave voltammetric techniques. In pH 9.2 phosphate buffer, tramadol showed an irreversible oxidation peak at 0.77 V. The dependence of the current on pH, concentration and scan rate was investigated to optimize the experimental conditions for the determination of t...

In this paper, we give some results on the essential B-spectra of a linear operator pencil, which are used to determine an integro-differential with abstract boundary conditions in Banach space Lp([?a, a] × [?1, 1]), p ? 1 and > 0.

Several recent methods used to analyze asymptotic stability of delay-differential equations (DDEs) involve determining the eigenvalues of a matrix, a matrix pencil or a matrix polynomial constructed by Kronecker products. Despite some similarities between the different types of these so-calledmatrix pencil methods, the general ideas used as well as the proofs differ considerably. Moreover, the ...

This research used logistic regression to model item responses from a popular 360-for-development survey. The model used method of survey delivery and rater group to identify items that exhibited differential item functioning (DIF). The methods of survey delivery were pencil-and-paper and online by web page. The rater groups were self, boss, peer, and direct report. The sample consisted of 374 ...

We present a new and simple bound for the exponential decay of second order systems using the spectral shift. This result is applied to finite matrices as well as to partial differential equations of Mathematical Physics. The type of the generated semigroup is shown to be bounded by the upper real part of the numerical range of the underlying quadratic operator pencil.

Introduction: Diagnosis of orbital foreign body (FB) penetration is usually obvious when part of the FB is still attached at the entry wound (1). However, the depth and course of the FB in this case was not visible.   Case Report: A 5-year old female presented with a pencil penetrating the left orbit. A computed tomography (CT) scan showed that the pencil penetrated the left orbit (extraseptal)...

We establish some relationships between an m-accretive operator and its Moore-Penorse inverse. derive perturbation result the inverse of a maximal accretive operator. As application we give factorization theorem for quadratic pencil operators. Also, study existence, uniqueness, regularity strict solution complete abstract second order differential equation. Illustrative examples are also given.