ApCoCoA-1:Bertini.BMSolve
From ApCoCoAWiki
BMSolve
Solves zero dimensional non-Homogeneous polynomial system using mult-homogenization with Default Configurations.
Syntax
Bertini.BMSolve(M: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 to be solved.
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:
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The number of real finite solutions are:
4
The real finite solutions are:
-2.000000000000035e+00 2.454024452036439e-14
-9.999999999999871e-01 -1.788069996029196e-15
-9.999999999999907e-01 -1.089397896007851e-14
-2.000000000000040e+00 2.607382514440176e-14
1.999999999999310e+00 2.357507317170427e-13
1.000000000000226e+00 -9.624182470906783e-14
1.000000000000282e+00 7.742365792116463e-14
1.999999999999288e+00 -1.777128279159746e-14
For summary of all solutions refer to ApCoCoAServer
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