Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Choose the correct statement(s) for the natural cubic spline interpolation through 8 points
{xi , Yi }i = 1
18
There are at least two number of elements in a set containing points x; where the second derivative of spline
has values 0
The second derivative is always a polynomial of degree one
The matrix system to compute spline polynomial cannot be reduced to a tridiagonal matrix of dimension 8x8
The interpolation function is continuously differentiable, constituting 7 piecewise cubic polynomials
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Transcribed Image Text:Choose the correct statement(s) for the natural cubic spline interpolation through 8 points {xi , Yi }i = 1 18 There are at least two number of elements in a set containing points x; where the second derivative of spline has values 0 The second derivative is always a polynomial of degree one The matrix system to compute spline polynomial cannot be reduced to a tridiagonal matrix of dimension 8x8 The interpolation function is continuously differentiable, constituting 7 piecewise cubic polynomials
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