Difference between revisions of "ApCoCoA-1:Slinalg.SEF"
From ApCoCoAWiki
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− | <title> | + | <title>Slinalg.SEF</title> |
− | <short_description> | + | <short_description>Calculates the Echelon form of a sparse matrix over F2.</short_description> |
<syntax> | <syntax> | ||
− | + | Slinalg.SEF(NRow,NCol, Mat:LIST) | |
</syntax> | </syntax> | ||
<description> | <description> | ||
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− | <item>@param <em> | + | <item>@param <em>NRow</em>: Number of rows of matrix.</item> |
− | <item>@param <em> | + | <item>@param <em>NCol</em>: Number of Columns of matrix.</item> |
− | <item>@return A list of lists containing the | + | <item>@return A list of lists containing the Echelon form of matrix.</item> |
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Revision as of 16:17, 8 July 2009
Slinalg.SEF
Calculates the Echelon form of a sparse matrix over F2.
Syntax
Slinalg.SEF(NRow,NCol, Mat: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 NRow: Number of rows of matrix.
@param NCol: Number of Columns of matrix.
@return A list of lists containing the Echelon form of matrix.
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