WOLFRAM SYSTEM MODELER
This information is part of the Modelica Standard Library maintained by the Modelica Association.
This function call returns the solution X of the linear system of equations
A*X = B
If a unique solution X does not exist (since A is singular), an assertion is triggered. If this is not desired, use instead Matrices.leastSquares2 and inquire the singularity of the solution with the return argument rank (a unique solution is computed if rank = size(A,1)).
Note, the solution is computed with the LAPACK function "dgesv", i.e., by Gaussian elimination with partial pivoting.
Real A[3,3] = [1,2,3; 3,4,5; 2,1,4]; Real B[3,2] = [10, 20; 22, 44; 12, 24]; Real X[3,2]; algorithm X := Matrices.solve2(A, B); /* X = [3, 6; 2, 4; 1, 2] */
Type: Real[:,size(A, 1)]
Description: Matrix A of A*X = B
Type: Real[size(A, 1),:]
Description: Matrix B of A*X = B
Type: Real[size(B, 1),size(B, 2)]
Description: Matrix X such that A*X = B