AS3LinAlg is a linear algebra library. Its provides  up to four solvers: Jacobi SVD, Eigen Vectors/Values,  Cholesky, LU and Polynomial. The library requires Apparat to be compiled, but it doesn’t use Memory op-codes.

Sample

// JacobiSVD API:
public function decompose(A:Vector., m:int, n:int,  W:Vector., U:Vector., V:Vector., computeUV:Boolean = true, transposeV:Boolean = false, transposeU:Boolean = false):void
public function pseudoInverse(inv:Vector., mtx:Vector., m:int, n:int):void
public function solve(A:Vector., m:int, n:int, x:Vector., B:Vector.):void