/// <summary>
/// A Sparse EigenPair leaves the inverse of the eigen vector matrix null. This means any attempt to reconstruct the
/// matrix from the EigenPair object will result in a NullPointerException. However, if this operation is not necessary,
/// then ignoring the inverse is more efficient.
/// </summary>
/// <param name="Q"></param>
/// <returns></returns>
public static EigenPair ComputeSparseEigenPair(double[][] Q)
{
DoubleArray matrix = new DoubleArray(Q);
Eigen eigenSystem = new Eigen(matrix);
ComplexNumber[] eigenValues = LinearAlgebra.DiagonalShoArrayToArray(eigenSystem.D);
ComplexNumber[][] eigenVectors = LinearAlgebra.ShoArrayToRaggedArray(eigenSystem.V);
return(new EigenPair(eigenValues, eigenVectors, null));
}
public override string ToString()
{
return("V:\n" + LinearAlgebra.MatrixView(_vectors) + "\nD:\n[ " + SpecialFunctions.SpecialFunctions.CreateTabString2(_values) +
" ]\ninv(V):\n" + LinearAlgebra.MatrixView(_invVectors));
}
