/// <summary>Computes the inverse of this matrix.</summary>
/// <returns>The inverse of this matrix.</returns>
public virtual Matrix <T> Inverse()
{
if (RowCount != ColumnCount)
{
throw new ArgumentException(Resources.ArgumentMatrixSquare);
}
return(LU <T> .Create(this).Inverse());
}
/// <summary>Computes the determinant of this matrix.</summary>
/// <returns>The determinant of this matrix.</returns>
public virtual T Determinant()
{
if (RowCount != ColumnCount)
{
throw new ArgumentException(Resources.ArgumentMatrixSquare);
}
return(LU <T> .Create(this).Determinant);
}
/// <summary>
/// Compute the sparse LU factorization for given matrix.
/// </summary>
/// <param name="matrix">The matrix to factorize.</param>
/// <param name="tol">Partial pivoting tolerance (form 0.0 to 1.0).</param>
/// <returns></returns>
public static LU SparseLU(this SparseMatrix matrix, double tol = 1.0)
{
return(LU.Create(matrix, ColumnOrdering.MinimumDegreeAtPlusA, tol));
}
/// <summary>
/// Computes the LU decomposition for a matrix.
/// </summary>
/// <param name="matrix">The matrix to factor.</param>
/// <returns>The LU decomposition object.</returns>
public static LU LU(this Matrix <double> matrix)
{
return((LU)LU <double> .Create(matrix));
}
/// <summary>
/// Computes the LU decomposition for a matrix.
/// </summary>
/// <param name="matrix">The matrix to factor.</param>
/// <returns>The LU decomposition object.</returns>
public static LU LU(this Matrix <Complex> matrix)
{
return((LU)LU <Complex> .Create(matrix));
}
/// <summary>
/// Computes the LU decomposition for a matrix.
/// </summary>
/// <param name="matrix">The matrix to factor.</param>
/// <returns>The LU decomposition object.</returns>
public static LU LU(this Matrix <float> matrix)
{
return((LU)LU <float> .Create(matrix));
}