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Non 0-dimensional system

Although the solving procedures of ALIAS are mostly devoted to be used for 0 dimensional system (i.e. systems having a finite number of solutions) most of them can still be used for non 0-dimensional system. In that case the result will be a set of boxes which will be an approximation of the solution. When dealing with such system it is necessary to set the global variable ALIAS_ND to 1 (its default value is 0) and to define a name in the character string ALIAS_ND_File. The solution boxes of the system will be stored in a file with the given name. The quality of the approximation may be estimated with the flags ALIAS_Volume_In, ALIAS_Volume_Neglected that give respectively the total volume of the solution boxes and the total volume of the neglected boxes (i.e. the boxes for which the algorithm has not been able to determine if they are or not a solution of the system). Note that there are special procedures for 1-dimensional system, see chapter 9.


next up previous contents
Next: General purpose solving algorithm Up: Solving with Interval Analysis Previous: Dealing with infinity   Contents
Jean-Pierre Merlet 2012-12-20