ApCoCoA-1:Slinalg.SEF
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Revision as of 16:11, 8 July 2009 by 132.231.54.1 (talk)
Bertini.BCMSolve
Solves zero dimensional non-homogeneous polynomial system using multi-homogenization with User Configurations.
Syntax
Bertini.BCMSolve(M:LIST, ConfigSet:LIST)
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
@param M: List of polynomials in the system.
@param ConfigSet: List of strings representing Configurations to be used by Bertini. For details about configuration settings see Bertini mannual http://www.nd.edu/~sommese/bertini/BertiniUsersManual.pdf.
@return A list of lists containing the finite solutions of the polynomial system.
Example
-- We want to solve the system x^2+y^2-5=0,xy-2=0, using multi-homogenization, for adaptive precision. Use S ::= QQ[x,y]; -- Define appropriate ring M := [x^2+y^2-5,xy-2]; ConfigSet := [<quotes>MPTYPE: 2</quotes>]; -- Then we compute the solution with Bertini.BCMSolve(M,ConfigSet); -- And we achieve a list of lists containing finite solutions: ---------------------------------------- [[Vector(1000000000000017/1000000000000000, 145132717332349/15625000000000000000000000000), Vector(49999999999999/25000000000000, -3537662353156057/100000000000000000000000000000)], [Vector(-62500000000003/62500000000000, 4415730565392687/100000000000000000000000000000), Vector(-499999999999983/250000000000000, -66866973306543/400000000000000000000000000)], [Vector(999999999999983/500000000000000, -1787591178181031/50000000000000000000000000000), Vector(1000000000000013/1000000000000000, 281412486737749/25000000000000000000000000000)], [Vector(-499999999999999/250000000000000, -3956938527452181/1000000000000000000000000000000), Vector(-9999999999999989/10000000000000000, -596634837824491/1250000000000000000000000000000)]] --For other Bertini output files please refer to Bertini directory (.../ApCoCoA-1.2/Bertini/).
See also
