Consider the data x=(1,2,3) and y=(3,2,1). Use the scheme of divided differences to determine the Newton coefficients Co,C₁,C₂ER of the corresponding interpolation polynomial. What is c₂? O a. c₂=-3 O b. c₂=-2 O c. C₂=-1 O d. c₂=0 O e. C₂=1 Of. C₂=2 Og. C₂=3 Oh. The method of divided differences cannot be applied to this data, because the corresponding Vandermonde matrix is not invertible and the corresponding linear system cannot be solved.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the data x=(1,2,3) and y=(3,2,1). Use the scheme of divided differences to determine the Newton coefficients Co,C1,C₂ER of the
corresponding interpolation polynomial. What is c₂?
a. C₂=-3
c₂=-2
C. C₂=-1
d. c₂=0
O b.
e. C₂=1
c₂=2
g. C₂=3
Oh. The method of divided differences cannot be applied to this data, because the corresponding Vandermonde matrix is not
invertible and the corresponding linear system cannot be solved.
O f.
Transcribed Image Text:Consider the data x=(1,2,3) and y=(3,2,1). Use the scheme of divided differences to determine the Newton coefficients Co,C1,C₂ER of the corresponding interpolation polynomial. What is c₂? a. C₂=-3 c₂=-2 C. C₂=-1 d. c₂=0 O b. e. C₂=1 c₂=2 g. C₂=3 Oh. The method of divided differences cannot be applied to this data, because the corresponding Vandermonde matrix is not invertible and the corresponding linear system cannot be solved. O f.
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