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Barycentric Rational Interpolation

Date post: 13-Apr-2017
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f

1/25

1/25

r

1/25

r

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r

1/25

r

1/25

r

1/25

r

1/25

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O(n2)

(xn+1,fn+1)

2/25

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O(n)

(xn+1,fn+1)

f [x0,…,xn+1]

3/25

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O(n)

f

(xn+1,fn+1)

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¸1

¸2

¸3

¸4

¸5

¸6

¸0

d=0

12/25

d=0

r

f

12/25

¸0

¸1

¸2

¸3

¸4

d=2

13/25

d=2

r

f

13/25

n

14/25

k=1,2

0∙k∙ d

r

f

15/25

0∙k∙ d

16/25

17/25

0∙k∙d

+

18/25

0∙k∙d

+

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0∙k∙d

+

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d=3

19/25

d=2

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g

21/25

g

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g

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d=3

22/25

d=3

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equispaced

nodes

geometric

series

equispaced nodes

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equispaced

nodes

geometric

series

equispaced nodes

THANK YOU FOR YOUR

ATTENTION

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