Examination of Passwords’ Influation on the Compressing Process of Non-Encrypted Objects

The principal methods of compression and different types of non-encrypted objects are described. An analysis is made of the results obtained from examinations of the speed of compression for objects when using passwords with different length. The size of the new file obtained after compression is also analyzed. Some evaluations are made with regard to the methods and the objects used in the examinations. In conclusion some deductions are drawn as well as recommendations for future work.

On the Hyperbolicity Domain of the Polynomial x^n + a1x^(n-1) + 1/4+ an

∗ Partially supported by INTAS grant 97-1644

On The Critical Points of some Iteration Methods for Solving Algebraic Equations. Global Convergence Properties

In this work we give su±cient conditions for k-th approximations of the polynomial roots of f(x) when the Maehly{Aberth{Ehrlich, Werner-Borsch-Supan, Tanabe, Improved Borsch-Supan iteration methods fail on the next step. For these methods all non-attractive sets are found. This is a subsequent improvement of previously developed techniques and known facts. The users of these methods can use the results presented here for software implementation in Distributed Applications and Simulation Environ- ments. Numerical examples with graphics are shown.

A Note on the Asymptotic Behaviour of a Periodic Multitype Galton-Watson Branching Process

2000 Mathematics Subject Classification: 60J80.