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r f

An iterative approach to barycentric rational Hermite interpolation

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r

f

n+ 1 f

f

n+ 1 f

n+ 1 f

r

n+ 1 f

r

n+ 1 f

-

r

d¸ 0

d¸ 0

d¸ 0

r

d¸ 0

n

r

d¸ 0

n

r

d¸ 0

n

r

r

f

r

f

r

f

f

r

- (m+ 1)(n+1)¡1

- (m+1)(n¡d )

rm

f

- (m+ 1)(n+1)¡1

- (m+1)(n¡d )

- m = 1, 2

rm

f

rm

f

rm

f

rm

f

rm

f

rm

f

rm

f

rm

f

rm

f

rm

f

rm

f

d = 2

d = 2

d = 1

d = 1

d = 4

d = 4

rm

m > 2

rm

m > 2

rm

m > 2