Rational approximation of vertical segments

Numerical Algorithms

Volumn 45, Issue 1-4, 2007, Pages 375-388

  Salazar Celis, Oliver ^a   Cuyt, Annie ^a   Verdonk, Brigitte ^a  

^a UNIVERSITY OF ANTWERP   (Belgium)

Author keywords

Modeling; Noise interval; Optimization; Polyhedral cone; Quadratic programming; Rational approximation; Rational interpolation

Indexed keywords

EID: 35348850136     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-007-9077-3     Document Type: Article

References (11)

1. Allouche, H., Cuyt, A.: Unattainable points in multivariate rational interpolation. J. Comput. Appl. Math. 72, 159-173 (1993)
2. Gass, S.I.: Comments on the possibility of cycling with the simplex method. Oper. Res. 27(4), 848-852 (1979)
3. Goldman, A.J., Tucker, A.W.: Polyhedral convex cones. In: Kuhn, H.W., Tucker, A.W. (eds.) Linear Inequalities and Related Systems. Annals of Mathematics Studies, vol. 38. Princeton University Press, Princeton NJ (1956)
4. Grünbaum, B.: Convex polytopes. Pure and Applied Mathematics, vol. XVI. Wiley, New York (1967)
5. Markov, S.: Polynomial interpolation of vertical segments in the plane. In: Kaucher, E., Markov, S., Mayer, G. (eds.) Computer Arithmetic, Scientific Computation and Mathematical Modelling, IMACS, pp. 251-262. J.C. Baltzer AG, Scientific, Basel, Switzerland (1991)
6. Markov, S., Popova, E., Schneider, U., Schulze, J.: On linear interpolation under interval data. Math. Comput. Simul. 42, 35-45 (1996)
7. Milanese, M., Belforte, G.: Estimations theory and uncertainty intervals evaluation in the presence of unknown but bounded errors:linear families of models and estimators. IEEE Trans. Automat. Contr. 27(2), 408-414 (1982)
8. Motulsky, H., Christopoulos, A.: Fitting Models to Biological Data Using Linear and Nonlinear Regression: A Practical Guide to Curve Fitting. Oxford University Press, Oxford, UK (2004)
9. Nemhauser, G.L., Wolsey, L.A.: Integer and Combinatorial Optimization. Wiley, New York (1988)
10. Press, W., Teukolsky, S., Vetterling, W., Flannery, B.: Numerical Recipes in C, 2nd edn. Cambridge University Press, Cambridge, UK (1992)
11. Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, Cambridge (2004)