ooom | R Documentation |
One-over-one-minus for spray objects; the nearest to ‘division’ that we can get.
ooom(S, n)
S |
object of class spray |
n |
Order of the approximation |
Returns the Taylor expansion to order n
of 1/(1-S)
, that
is, 1+S+S^2+S^3+\cdots +S^n
.
Returns a spray object of the same arity as S
.
Uses Horner's method for efficiency
Robin K. S. Hankin
(x <- spray(matrix(1)))
ooom(x,5) # 1 + x + x^2 + x^3 + x^4 + x^5
(a <- homog(4,2))
d <- (1-a)*ooom(a,3)
constant(d) # should be 1
rowSums(index(d)) # a single 0 and lots of 8s.
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