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Choose the correct statement(s) for the natural cubic spline interpolation through 8 points {x; , Yi}} = 1 There are at least two number of elements in a set containing points a; 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

Choose the correct statement(s) for the natural cubic spline interpolation through 8 points {x; , Yi}} = 1 There are at least two number of elements in a set containing points a; 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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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