Abstract
Two algorithms for the computation of Hermite interval interpolating polynomial have been proposed, one of which is recommended for fast computation and the other for obtaining the most accurate results.
Zusammenfassung
Zwei Algorithmen zur Berechnung des Hermite-interpolierenden Intervallpolynoms werden vorgeschlagen. Einer von diesen wird für schnelle Berechnung, der andere zur Erlangung genauer Ergebnisse empfohlen.
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Krogh, F. T.: Efficient Algorithms for Polynomial Interpolation and Numerical Differentation. Maths. of Comp.24, 185–190 (1970).
Majumder, K. L., Bhattacharjee, G. P.: Some Algorithms for Interval Interpolating Polynomial. Computing16, 305–318 (1976).
Berezin, I. S., Zhidkov, N. P.: Computing Methods, Vol. I. Pergamon Press 1955.
Moore, R. E.: Interval Analysis. Englewood Cliffs, N. J.: 1966.
Newbery, A. C. R.: Interpolation by Algebraic and Trigonometric Polynomials. Maths of Comp.20, 597–599 (1966).
Rokne, J.: Explicit Calculations of Lagrangian Interval Interpolating Polynomial. Computing9, 149–157 (1972).
Wendroff, B.: Theoretical Numerical Analysis. Academic Press 1966.
Majumder, K. L., Bhattacharjee, G. P.: An Interval Arithmetic Package for IBM-1620 Computer, Paper no.29, Proc. Seminar Adv. Maths, I. I. T., Kharagpur 1976.
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Bhattacharjee, G.P., Majumder, K.L. On the computation of Hermite interval interpolating polynomials. Computing 19, 73–83 (1977). https://doi.org/10.1007/BF02260742
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DOI: https://doi.org/10.1007/BF02260742