Difference between revisions of "ApCoCoA-1:Slinalg.SEF"

From ApCoCoAWiki
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<example>
 
<example>
 
Use ZZ/(2)[x];
 
Use ZZ/(2)[x];
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],
+
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]];
[6, 10, 12], [ 10, 13]];
 
 
NRow:=10;
 
NRow:=10;
 
NCol:=13;
 
NCol:=13;
  
 
Slinalg.SEF(NRow, NCol, M);
 
Slinalg.SEF(NRow, NCol, M);
Mat([
+
[[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]]
  [1, 2, 3],
+
  [4, 5, 6],
 
  [7, 8, 9],
 
  [11, 12, 13]
 
])
 
-------------------------------
 
Mat([
 
  [1 % 239, 2 % 239, 3 % 239],
 
  [0 % 239, 1 % 239, 2 % 239],
 
  [0 % 239, 0 % 239, 0 % 239],
 
  [0 % 239, 0 % 239, 0 % 239]
 
])
 
 
-------------------------------
 
-------------------------------
  

Revision as of 08:22, 9 July 2009

Slinalg.SEF

Calculates the Echelon form of a sparse matrix over F2.

Syntax

Slinalg.SEF(NRow : INT ,NCol : INT, 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 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 Echelon form of the matrix.

Example

Use ZZ/(2)[x];
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]];
NRow:=10;
NCol:=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

Introduction to CoCoAServer

Bertini.BSolve

Bertini.BMSolve

Bertini.BUHSolve