static void Main()
{
WriteLine("My last 2 digits in my student number is 22 so 22 mod 22 = 0, which is then the exam project I have done.");
WriteLine("In this project I use the Lanczos algorithm to produce the Matrixes V and T where A = V T V^{T}");
WriteLine("The real symmetric matrix we choose as en example is");
//Define symmetric matrix
var A = new matrix("1 2 3;2 4 5;3 5 8");
A.print("A = ");
WriteLine("We then apply the Lanczos algortihm to get the V and T matrices.");
//Call V and T matrix from Lanczos algorithm
matrix T = Lanczos.execute(A, 3, 0);
matrix V = Lanczos.execute(A, 3, 1);
//Print them
T.print("T = ");
V.print("V = ");
//Recreate A to check that T and V are correct
matrix A2 = V * T * V.transpose();
A2.print("Were A should be V T V^T. We calculate this to check, V T V^T = ");
WriteLine("Which gives exactley A again");
}
public SColor[] ScaleLanczos( int _targetWidth, int _targetHeight)
{
Lanczos l = new Lanczos(m_originalColors, m_width);
return l.Filter(_targetWidth, _targetHeight);
}