Title:        The SNPE2 Solver Developed for the MATLAB
                Environment
  Authors:      Valentine D. Borisevich, Valeriy G. Potemkin
  Affiliation:  Moscow State Engineering Physics Institute
                (Technical Univ.) 
  Abstract:
For the latest 10 years the toolbox for solving Systems of Nonlinear Polynomial
Equations (SNPE) including more than 30 modules has been under developing.  By
now on the basis of this toolbox there is accomplished the solver named as
SNPE2 for finding solutions of SNPE with two variables and one parameter.  The
SNPE2 Solver is designed as a GUI application in the MATLAB environment.  The
Solver is based on a new generation of mixed symbolic-numerical algorithms.  It
provides finding all real and complex solutions by means of only pure algebraic
operations; calculating for a number of equations that may not coincide with a
number of variables; evaluating residuals and time of execution. making
calculations with the accuracy within the range of 10^-8 up to 10^-14.  Users
of the toolbox developed include students of secondary and higher schools,
engineers, and applied mathematicians involved in solving problems of ODE,
robotics, and CAD systems, as well as the experts in algebraic geometry, mixed
ordinary and algebraic equations, and nonlinear PDEs.