Anonymous user
Thiele's interpolation formula: Difference between revisions
m
Link to continued fraction.
(Go solution) |
m (Link to continued fraction.) |
||
Line 1:
{{task|Arithmetic operations}}
{{Wikipedia|Thiele's interpolation formula}}
'''[[wp:Thiele's_interpolation_formula|Thiele's interpolation formula]]''' is an interpolation formula for a function ''f''(•) of a single variable. It is expressed as a [[continued fraction]]:
:<math> f(x) = f(x_1) + \cfrac{x-x_1}{\rho_1(x_1,x_2) + \cfrac{x-x_2}{\rho_2(x_1,x_2,x_3) - f(x_1) + \cfrac{x-x_3}{\rho_3(x_1,x_2,x_3,x_4) - \rho_1(x_1,x_2) + \cdots}}} </math>
| |||