public double[] SolveLinearSystemForwardEliminationAndBackSubstitution(double[] RightHandSide)
{
WriteToDisplay.WriteInfo("\n Solving linear system using link-list storage method and PLU decomposition\n\n");
WriteToDisplay.WriteInfo(" Number of equations = " + n.ToString() + "\n");
StopWatchTimer Totaltime = new StopWatchTimer();
Totaltime.StartTimer();
StopWatchTimer timer = new StopWatchTimer();
//rightHandSide = RightHandSide;
//ScaleAllRowsAndRightHandSideAndRemoveZeros();
//this.RemoveAllZeros();
// PLU decomposition
timer.StartTimer();
//this.LUDecomposition();
timer.StopTimer();
WriteToDisplay.WriteInfo(" PLU decomposition time = " + timer.TimeElapsedInSeconds().ToString() + "\n");
// Forward elimination
timer.StartTimer();
this.ForwardElimination(RightHandSide);
timer.StopTimer();
WriteToDisplay.WriteInfo(" Forward elimination time = " + timer.TimeElapsedInSeconds().ToString() + "\n");
//Backward elimination
timer.StartTimer();
this.BackSubstitution();
timer.StopTimer();
WriteToDisplay.WriteInfo(" Backward elimination time = " + timer.TimeElapsedInSeconds().ToString() + "\n");
// Determinant
timer.StartTimer();
this.CalculateDeterminant();
timer.StopTimer();
WriteToDisplay.WriteInfo(" Determinant time = " + timer.TimeElapsedInSeconds().ToString() + "\n");
Totaltime.StopTimer();
WriteToDisplay.WriteInfo("\n Total time to solve = " + Totaltime.TimeElapsedInSeconds().ToString() + "\n\n");
return(rightHandSide);
}
