Since the matrix is always invertible, it's noteworthy to point out that the cubic polynomial obtained is unique.
sandykzhang
Are there any scenarios where the matrix might be non-invertible?
killawhale2
@qqqube The uniqueness of the polynomial comes from the fact that there are four unknown coefficients and four independent equations. The invertible matrix is just a consequence of the given equations being independent of each other.
hershg
Interesting to note that this matrix and its inverse are the same for all Hermite interpolation schemes ('Hermite Matrix')
Since the matrix is always invertible, it's noteworthy to point out that the cubic polynomial obtained is unique.
Are there any scenarios where the matrix might be non-invertible?
@qqqube The uniqueness of the polynomial comes from the fact that there are four unknown coefficients and four independent equations. The invertible matrix is just a consequence of the given equations being independent of each other.
Interesting to note that this matrix and its inverse are the same for all Hermite interpolation schemes ('Hermite Matrix')