Reciprocal difference
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reciprocal differences
(ri′sip·rə·kəl ′dif·rən·səz)
(mathematics) An interpolation technique using successive quotients of a function with its values so as to obtain a continued fraction expansion approximating the given function by a rational function.
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Reciprocal difference
In mathematics, the reciprocal difference of a finite sequence of numbers (x0,x1,...,xn) on a function f(x) is defined inductively by the following formulas:
See also
References
- Weisstein, Eric W., "Reciprocal Difference" from MathWorld.
- Abramowitz, Milton; Irene A. Stegun (1972) [1964]. Handbook of Mathematical Functions (ninth Dover printing, tenth GPO printing ed.). Dover. p. 878. ISBN 0-486-61272-4.
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