Difference between revisions of "ApCoCoA-1:Bertini.BMSolve"
From ApCoCoAWiki
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<command> | <command> | ||
<title>Bertini.BMSolve</title> | <title>Bertini.BMSolve</title> | ||
| − | <short_description>Solves zero dimensional non-homogeneous polynomial system using | + | <short_description>Solves zero dimensional non-homogeneous polynomial system using multi-homogenization with default configurations.</short_description> |
<syntax> | <syntax> | ||
Bertini.BMSolve(M:LIST):LIST | Bertini.BMSolve(M:LIST):LIST | ||
Revision as of 09:14, 7 July 2009
Bertini.BMSolve
Solves zero dimensional non-homogeneous polynomial system using multi-homogenization with default configurations.
Syntax
Bertini.BMSolve(M:LIST):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.
@return A list of lists containing the finite solutions of the polynomial system.
Example
-- We want to solve the non-homogenous system x[1]^2+x[2]^2-5=0, x[1]x[2]-2=0, using multi-homogenization. Use S ::= QQ[x[1..2]]; -- Define appropriate ring M := [x[1]^2+x[2]^2-5, x[1]x[2]-2]; -- Then we compute the solution with Bertini.BMSolve(M); -- And we achieve a list of lists containing finite solutions: ---------------------------------------- [[Vector(1000000000000001/1000000000000000, -2305082859180703/100000000000000000000000000000), Vector(1999999999999971/1000000000000000, 4135565953005217/100000000000000000000000000000)], [Vector(1000000000000003/500000000000000, 2604577577014449/50000000000000000000000000000), Vector(500000000000001/500000000000000, -619892334722183/25000000000000000000000000000)], [Vector(-2, 1724810333092189/1000000000000000000000000000000), Vector(-500000000000001/500000000000000, -355984244774691/200000000000000000000000000000)], [Vector(-9999999999999971/10000000000000000, -4053926086793577/1000000000000000000000000000000), Vector(-1999999999999999/1000000000000000, -3669041992638223/5000000000000000000000000000000)]] --For other Bertini output files refer to Bertini directory (../ApCoCoA-1.2/Bertini) ------------------------------------------
See also
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