/// <summary>
/// MATLAB 'backslash' solver for the system
/// <paramref name="M"/>*<paramref name="X"/> = <paramref name="RHS"/>.
/// </summary>
/// <param name="M">
/// Matrix of the linear system.
/// </param>
/// <param name="RHS">
/// Input, the right hand side of the linear system.
/// </param>
/// <param name="X">
/// Output, the solution.
/// </param>
/// <param name="__WorkingPath"></param>
public static void SolveMATLAB <T1, T2>(this IMutableMatrixEx M, T1 X, T2 RHS, string __WorkingPath = null)
where T1 : IList <double>
where T2 : IList <double> //
{
if (M.RowPartitioning.LocalLength != RHS.Count)
{
throw new ArgumentException("Mismatch between number of rows and length of right-hand-side.");
}
if (M.ColPartition.LocalLength != X.Count)
{
throw new ArgumentException("Mismatch between number of columns and length of unknown vector.");
}
MultidimensionalArray Xwrapper = MultidimensionalArray.Create(X.Count, 1);
using (var connector = new BatchmodeConnector(WorkingPath: __WorkingPath)) {
MultidimensionalArray output = MultidimensionalArray.Create(1, 1);
connector.PutSparseMatrix(M, "Matrix");
connector.PutVector(RHS, "RHS");
connector.Cmd("X = Matrix \\ RHS ;");
connector.GetMatrix(Xwrapper, "X");
connector.Execute(false);
Xwrapper.GetColumn(0, X);
}
}