Choose the best answer for each question:
Of the following polynomial interpolation methods, which is generally considered the method of choice due to its relative ease of use?
Which method is the best choice when the desired degree of the interpolating polynomial is known?
Which method is best suited when the desired degree of the interpolating polynomial is unknown?
Which method is best suited to the addition of points to the data set?
What is the computational cost of finding an interpolating polynomial through
points using the Newton form?
What is the computational cost of the Vandermonde method, using Gaussian elimination?
Under what conditions can the Lagrange method of polynomial interpolation fail?
Given a set of
points, exactly how many interpolating polynomials can be found to pass through the points?