In this paper we study practical solution methods for nding the maximum-volume ellipsoid inscribing a given full-dimensional polytope in < n deened by a nite set of linear inequalities. Our goal is to design a general-purpose algorithmic framework that is reliable and eecient in practice. To evaluate the merit of a practical algorithm, we consider two key factors: the computational cost per ite...

the main objective of this paper is to study the boundedness character, the periodicity character, the convergenceand the global stability of the positive solutions of the nonlinear rational difference equation/ , n 0,1,2,....0 01      kii n ikin i n i x  x b  xwhere the coefficients i i b , ,  together with the initial conditions ,.... , , 1 0 x x x k  are arbitrary...

We present a linear stability analysis of a planar ice interface during unidirectional solidification of a hard-sphere colloidal suspension. We find that the interface can become unstable due to constitutional supercooling, yielding a new mechanism for pattern formation in colloidal systems. The interfacial stability is shown to depend strongly on the size and concentration of the particles. In...