using System using System Collections Generic using System Linq using

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using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace L1
{
class Relaxation
{
Matrix mMatrix;
Matrix b;
int numIter = 0;
public Relaxation(Matrix matrix, Matrix b)
{
this.mMatrix = matrix;
this.b = b;
}
public double[] getSolve(double omega, double eps)
{
Matrix R = getMatrixR(mMatrix),
L = getMatrixL(mMatrix),
D = getMatrixD(mMatrix);
Matrix Q1 = (D + omega * L).GetInverse() * ((1 - omega) * D - omega * R);
R = getMatrixR(mMatrix);
L = getMatrixL(mMatrix);
D = getMatrixD(mMatrix);
Matrix Q2 = omega * (D + omega * L).GetInverse() * b;
Matrix curX = new Matrix(b), nextX = new Matrix(mMatrix.GetLength(0), 1);
while (Math.Abs((nextX - curX).GetNorm()) >= eps)
{
++numIter;
curX = nextX;
nextX = Q1 * curX + Q2;
}
return nextX.GetColumnArray(0, 0);
}
private Matrix getMatrixL(Matrix original)
{
Matrix matrix = new Matrix(original);
for (int i = 0; i < matrix.GetLength(0); ++i)
{
for (int j = 0; j < matrix.GetLength(1); ++j)
{
if (i <= j)
{
matrix[i, j] = 0;
}
}
}
return matrix;
}
private Matrix getMatrixR(Matrix original)
{
Matrix matrix = new Matrix(original);
for (int i = 0; i < matrix.GetLength(0); ++i)
{
for (int j = 0; j < matrix.GetLength(1); ++j)
{
if (i >= j)
{
matrix[i, j] = 0;
}
}
}
return matrix;
}
private Matrix getMatrixD(Matrix original)
{
Matrix matrix = new Matrix(original);
for (int i = 0; i < matrix.GetLength(0); ++i)
{
for (int j = 0; j < matrix.GetLength(1); ++j)
{
if (i != j)
{
matrix[i, j] = 0;
}
}
}
return matrix;
}
public int getNumIter()
{
return numIter;
}
public bool isValid()
{
for (int i = 0; i < mMatrix.GetLength(0); ++i)
{
double maxValue = -100;
int ind = 0;
for (int j = 0; j < mMatrix.GetLength(1); ++j)
{
if (mMatrix[i, j] > maxValue)
{
maxValue = mMatrix[i, j];
ind = j;
}
}
if (ind != i)
return false;
}
return true;
}
}
}