Linear Algebra and Its Applications · Problem 3.3.36

Orthogonality — Gilbert Strang

Mathematics · least-squares-cubic-fit

Problem

For the closest cubic

b = C + Dt + Et^2 + Ft^3

to the same four points, write the four equations

Ax = b

. Solve them by elimination. This cubic now goes exactly through the points. What are

p

and

e