Difference between revisions of "ApCoCoA-1:Bertini.BMSolve"
From ApCoCoAWiki
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</syntax> | </syntax> | ||
<description> | <description> | ||
| − | + | <em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | |
| − | <em>M</em>: List of polynomials in the system to be solved. | + | <itemize> |
| + | <item>@param <em>M</em>: List of polynomials in the system to be solved.</item> | ||
| + | </itemize> | ||
<example> | <example> | ||
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<type>cocoaserver</type> | <type>cocoaserver</type> | ||
</types> | </types> | ||
| + | <see>Bertini.BCMSolve</see> | ||
| + | <see>Bertini.BCSolve</see> | ||
| + | <see>Bertini.BSolve</see> | ||
| + | <see>Bertini.BUHSolve</see> | ||
| + | |||
<key>bmsolve</key> | <key>bmsolve</key> | ||
| − | <key>solve zero dimensional Non-homogeneous polynomial system using mult-homogenization</key> | + | <key>bertini.bmsolve</key> |
| − | + | <key>solve zero dimensional Non-homogeneous polynomial system using mult-homogenization</key>> | |
<wiki-category>Package_bertini</wiki-category> | <wiki-category>Package_bertini</wiki-category> | ||
</command> | </command> | ||
Revision as of 10:30, 23 April 2009
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:
----------------------------------------
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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