A new measure called min-max elementwise backward error is introduced for approximate roots of scalar polynomials p ( z ) . Compared with the relative error, this allows larger perturbations on coefficients that do not participate much in overall error. By how these can be perturbed determined via an associated max-times polynomial and its tropical roots. An algorithm designed computing It uses...

In this study the effects of growth interruptions on the formation of the interfaces in GaAs/AlAsmultilayers are investigated. For that purpose a series of different samples has been manufactured with molecular beam epitaxy (MBE). The introduction of growth interruptions of 50 s after the deposition of the layer leads to a change in the morphological properties of the interfaces, in particular ...

Since its introduction in 2010 by Lyubashevsky, Peikert and Regev, the Ring Learning With Errors problem (Ring-LWE) has been widely used as a building block for cryptographic primitives, due to its great versatility and its hardness proof consisting of a (quantum) reduction to ideal lattice problems. This reduction assumes a lower bound on the width of the error distribution that is often viola...

With the development of communication technology has come several measurement applications requiring plane-wave conditions for wireless-device characterizations in anechoic chambers. In this paper, a metasurface lens with 2 × feeding-antenna array is proposed and characterized to synthesize plane wave near field fifth-generation (5G) millimeter-wave radio-frequency (RF) devices test. The lens, ...

The quartic eigenvalue problem (λ 4 A +λ 3 B 2 C D + E ) x = 0 naturally arises in a plethora of applications, such as when solving the Orr–Sommerfeld equation stability analysis Poiseuille flow, theoretical and experimental design locally resonant phononic plates, modeling robot with electric motors joints, calibration catadioptric vision system, or, for example, computation guided leaky modes...

The understanding of the thermal decomposition chemistry chemical warfare nerve agents is largely limited by scarcity kinetic data. Because high toxicity these molecules, experimental determination their properties very difficult. In present work, a comprehensive detailed model for sarin and some simulants, i.e. di-isopropyl methyl phosphonate (DIMP), diethyl methylphosphonate (DEMP), triethyl ...

This study aimed at linear stability analysis of the stratified two-phase liquid-gas flow in a horizontal pipe. First, equations governing the linear stability of flow in each phase and boundary conditions were obtained. The governing equations were eigenvalue Orr Sommerfeld equations which are difficult and stiff problems to solve. After obtaining the velocity profiles of the gas and liquid ph...