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static private Forward ( Matrix A, |
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| A | Matrix | Input Matrix. |
| b | The Vector to process. | |
| Результат | ||
/// <summary>
/// Solves Ax = b for x If A is not square or the system is overdetermined, this operation solves
/// the linear least squares A.T * A x = A.T * b.
/// </summary>
/// <exception cref="InvalidOperationException">Thrown when the requested operation is invalid.</exception>
/// <param name="A">Matrix A.</param>
/// <param name="b">Vector b.</param>
/// <returns>x.</returns>
public static Vector operator /(Matrix A, Vector b)
{
if (A.Rows != b.Length)
{
throw new InvalidOperationException("Matrix row count does not match vector length!");
}
// LLS
if (A.Rows != A.Cols)
{
Matrix C = A.T * A;
Matrix L = C.Cholesky();
Vector d = (A.T * b).ToVector();
Vector z = Matrix.Forward(L, d);
Vector x = Matrix.Backward(L.T, z);
return(x);
}
// regular solve
else
{
// need to be smarter here....
return(((A ^ -1) * b).ToVector());
}
}