ApCoCoA-1:Slinalg.SGEF: Difference between revisions
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<command> | <command> | ||
<title>Slinalg. | <title>Slinalg.SEF</title> | ||
<short_description>Computes the row echelon form of a sparse matrix over F2.</short_description> | |||
<syntax> | |||
Slinalg.SEF(NRow : INT ,NCol : INT, Mat : LIST):LIST of LIST | |||
Slinalg.SEF_v2(NRow : INT ,NCol : INT, Mat : LIST):LIST of LIST | |||
</syntax> | |||
<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. | |||
<itemize> | |||
<item>@param <em>NRow</em>: Number of rows of the matrix.</item> | |||
<item>@param <em>NCol</em>: Number of Columns of the matrix.</item> | |||
<item>@param <em>Mat</em>: List of lists containing positions of non zero elements.</item> | |||
<item>@return A list of lists containing the row echelon form of the matrix.</item> | |||
</itemize> | |||
<example> | |||
Use ZZ/(2)[x]; | |||
NRow:=10; | |||
NCol:=13; | |||
M := [[1, 2, 6, 7], | |||
[1, 2, 4, 5, 6], | |||
[2, 3], | |||
[2, 3, 10, 11], | |||
[2, 4, 6, 7, 9, 10], | |||
[2, 10, 11, 13], | |||
[5, 6, 8], | |||
[ 6, 8, 9,10,12], | |||
[6, 10, 12], | |||
[10, 13]]; | |||
Slinalg.SEF(NRow, NCol, M); | |||
[[1,2,6,7], | |||
[2,3], | |||
[3,4,6,7,9,10], | |||
[4,5,7], | |||
[5,6,8], | |||
[6,8,9,10,12], | |||
[8,9,11,13], | |||
[10,11], | |||
[11,13]] | |||
------------------------------- | |||
</example> | |||
</description> | </description> | ||
Revision as of 10:56, 6 October 2009
Slinalg.SEF
Computes the row echelon form of a sparse matrix over F2.
Syntax
Slinalg.SEF(NRow : INT ,NCol : INT, Mat : LIST):LIST of LIST Slinalg.SEF_v2(NRow : INT ,NCol : INT, Mat : LIST):LIST of 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 the matrix.
@param NCol: Number of Columns of the matrix.
@param Mat: List of lists containing positions of non zero elements.
@return A list of lists containing the row echelon form of the matrix.
Example
Use ZZ/(2)[x];
NRow:=10;
NCol:=13;
M := [[1, 2, 6, 7],
[1, 2, 4, 5, 6],
[2, 3],
[2, 3, 10, 11],
[2, 4, 6, 7, 9, 10],
[2, 10, 11, 13],
[5, 6, 8],
[ 6, 8, 9,10,12],
[6, 10, 12],
[10, 13]];
Slinalg.SEF(NRow, NCol, M);
[[1,2,6,7],
[2,3],
[3,4,6,7,9,10],
[4,5,7],
[5,6,8],
[6,8,9,10,12],
[8,9,11,13],
[10,11],
[11,13]]
-------------------------------
See also
