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University of California Santa Barbara Distinct Data Points Questions
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I’m studying and need help with a Numerical Analysis question to help me learn.
(a) To solve a linear system of equations it is necessary to compute A−1.
(b) It is not possible for a numerical integration formula to give an exact answer.
(c) High order interpolation at equispaced points can be expected to give large errors if there is noise present in the function being interpolated.
(d) In Gaussian quadrature one uses equispaced integration nodes and determines the weights so that the formula is exact for as many monomials as possible.
(e) For three distinct data points, an interpolating polynomial through those points will always be a quadratic polynomial.
