Find the radial polynomial p(x, y) = a + br + cr 2 , where r 2

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Find the radial polynomial p(x, y) = a + br + cr2, where r2 = x+ y2, that best approximates the function f(x, y) = x using the L2 norm on the unit disk D = {r ≤ 1} to measure the least squares error.

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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