Difference between revisions of "ApCoCoA-1:IML.Solve"

From ApCoCoAWiki
(Moved to other category)
(Short description update.)
Line 1: Line 1:
 
<command>
 
<command>
 
<title>IML.Solve</title>
 
<title>IML.Solve</title>
<short_description>solve linear equation system</short_description>
+
<short_description>Solve a linear equation system.</short_description>
 
<syntax>
 
<syntax>
 
IML.Solve(M:MAT, B:MAT):MAT
 
IML.Solve(M:MAT, B:MAT):MAT

Revision as of 16:30, 21 April 2009

IML.Solve

Solve a linear equation system.

Syntax

IML.Solve(M:MAT, B:MAT):MAT

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. Please also note that you need an ApCoCoAServer with enabled IML support.

Let M and B be matrices defined over the ring of integers, a finite field or the field of rationals. This function tries to solve the linear equation system M*X = B by using the ApCoCoAServer supported by the IML library.

The return value will be a solution vector of the linear equation system or an empty matrix if no solution has been found.

Example

Use Z/(19)[x];
M := BringIn(Mat([[1,3,4], [0,2,1]]));
B := BringIn(Mat([[1], [2]]));
IML.Solve(M, B);
-------------------------------
Mat([
  [-2 % 19],
  [1 % 19],
  [0 % 19]
])
-------------------------------

Use Q[x];
M := Mat([ [1,3,4], [0,2,1], [1,3,4] ]);
B := Mat([ [1], [2], [0] ]);
IML.Solve(M, B);
-------------------------------
Mat([
  [ ]
])
-------------------------------

LinBox.Solve

LinKer