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Centered forms for functions in several variables. (English) Zbl 0471.65025


MSC:

65G30 Interval and finite arithmetic
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References:

[1] Hansen, E., The centered form, (Hansen, E., Topics in Interval Analysis (1969), University Press: University Press Oxford), 102-106
[2] Miller, W., Quadratic convergence in interval arithmetic, II, BIT, 12, 291-298 (1972) · Zbl 0248.65028
[3] Moore, R. E., Interval Analysis (1966), Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J · Zbl 0176.13301
[4] Moore, R. E., Methods and Applications of Interval Analysis (1979), SIAM: SIAM Philadelphia · Zbl 0417.65022
[5] Moore, R. E., On computing the range of a rational function of \(n\) variables over a bounded region, Computing, 16, 1-15 (1976) · Zbl 0345.65024
[6] Nickel, K., Die Überschätzung des Wertebereiches einer Funktion in der Inter-vallrechnung mit Anwendungen auf lineare Gleichungssysteme, Computing, 18, 15-36 (1977) · Zbl 0348.65039
[7] Ortega, J. M.; Rheinboldt, W. C., Iterative Solution of Nonlinear Equations in Several Variables (1970), Academic Press: Academic Press New York · Zbl 0241.65046
[8] Ratschek, H., Zentrische Formen, Z. Angew. Math. Mech., 58, T434-T436 (1978) · Zbl 0385.65020
[9] H. RatschekSIAM J. Numer. Anal.; H. RatschekSIAM J. Numer. Anal. · Zbl 0456.65019
[10] Skelboe, S., Computation of rational interval functions, BIT, 14, 87-95 (1974) · Zbl 0274.65015
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