using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using L = Science.Mathematics.LinearAlgebra;

namespace Strang3Ed.Chapter06.Section3
{
    public class Example01
    {
        public Example01()
		{
		}
		private string result;
		public string Result
		{
			get{return result;}
		}
        public void Compute()
        {
            double[,] x = { {0.0, 1.0}, 
                            {1.0, 0.0}};

            L.Matrix P = new L.Matrix(x);

            L.FactorizationAeqSLSi obj = new L.FactorizationAeqSLSi(P);
            obj.Compute();

            result += obj.Eigenvectors.ToString() + "\r\n";

            result += obj.Eigenvalues.ToString() + "\r\n";

            L.MatrixComplex A = obj.Eigenvectors;

            L.VectorComplex b = new L.VectorComplex(2);
            b[0] = new Science.Mathematics.Complex(4.0, 0.0);
            b[1] = new Science.Mathematics.Complex(2.0, 0.0);

            L.LinearEquationComplex eq = new L.LinearEquationComplex(A,b);
            eq.Solve();

            foreach(Science.Mathematics.Complex c in eq.Solution)
            result += c.ToString() + "\r\n";
        }
    }
}
/*
0.707106781186547     -0.707106781186547     
0.707106781186547     0.707106781186547     


1     0     
0     -1     


4.24264068711929
-1.4142135623731    
*/