A new formula is given for the logarithmic part of the integral of a rational function, one that strongly improves previous algorithms and does not need any computation in an algebraic extension of the field of constants, nor any factorisation since only polynomial arithmetic and GCD computations ar
Computation of rational interval functions
β Scribed by Stig Skelboe
- Publisher
- Springer Netherlands
- Year
- 1974
- Tongue
- English
- Weight
- 424 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0006-3835
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π SIMILAR VOLUMES
Chebyshev Markov rational functions are the solutions of the following extremal problem min c 1 , ..., c n # R " with K being a compact subset of R and | n (x) being a fixed real polynomial of degree less than n, positive on K. A parametric representation of Chebyshev Markov rational functions is
## Abstract Let __F__ be a continuous realβvalued function defined on [β1, 1] Γ [β1,1]. For purposes of simplifaction in some numerical processes, one may desire to have an approximation of the function __F__. We present a known method of approximation called the best rational product approximation