Previous |  Up |  Next

Article

References:
[1] H. C. Baxвaнов: Численные методы. Hayкa, Mocквa 1973. Zbl 0268.70012
[2] Z. Beran: Optimalizace diskrétního popisu spojitých systémů v teorii regulace. Candidate of Sciences Thesis, ÚTIA ČSAV, Praha 1980.
[3] M. Golomb: Optimal approximating manifolds in $L_2$2-spaces. J. Math. Anal. Appl. 12 (1965), 505-512. MR 0206588
[4] M. Golomb, and H. Weinberger: Optimal approximation and erros bounds. In: On Numerical Approximation (R. E. Langer, ed.), Univ. of Wisconsin Press, Madison 1959, pp. 117-190. MR 0121970
[5] A. S. B. Holland, B. N. Sahnery: The General Problem of Approximation and Spline Functions. Krieger Publishing Co., Huntington, N. Y. 1979. MR 0547353
[6] T. A. Kilgore: A characterization of the Lagrange interpolating projection with minimal Tchebycheff norm. J. Approx. Theory 24 (1978), 273-288. MR 0523977 | Zbl 0428.41023
[7] P. J. Laurent: Approximation et optimisation. Hermann, Paris 1972. MR 0467080 | Zbl 0238.90058
[8] T. Lyche, L. L. Schumaker: Local spline approximation methods. J. Approx. Theory 15 (1975), 294-325. MR 0397249 | Zbl 0315.41011
[9] G. Meinardus: Approximation der Funktionen,Theorie und numerische Methoden. Springer-Verlag, Berlin-Gottingen -Heidelberg-New York 1964. MR 0176272
[10] M. J. D. Powell: Approximation Theory and Methods. Cambridge University Press, Cambridge 1981. MR 0604014 | Zbl 0453.41001
[11] A. Sard: Best approximate integration formulae; best approximation formulae. Amer. J. Math. 71 (1949), 80-91. MR 0029283
[12] A. Sard: Optimal approximation. J. Funct. Anal. 1, 2 (1967), 222-244. MR 0219967 | Zbl 0158.13601
[13] I. J. Schoenberg: Spline interpolation and best quadrature formulae. Bull. Amer. Math. Soc. 70 (1964), 143-148. MR 0157157 | Zbl 0136.36202
[14] C. Л. Coбoлeв И. Бaбyшкa: Оптимизация численных методов. Aplikace matematiky 10 (1965), 2, 96-129. MR 0191072
[15] C. Л. Coбoлeв: Введение в теорию кубатурных формул. Hayкa, Mocквa 1974.
[16] J. Stoer, R. Bulirsch: Introduction to Numerical Analysis. Springer-Verlag, Berlin-Heidelberg-New York 1980. MR 0557543 | Zbl 0553.65004
[17] A. Tuzar: Optimal Approximation of Linear Functionals in Hilbert Space with Applications to Numerical Methods. Research Report No. 988, ÚTIA ČSAV, 1979.
[18] A. Tuzar, Z. Beran: Optimization of the discrete description for continuous systems. Problems Control Inform. Theory 10 (1981), 2, 83 - 94. MR 0618444 | Zbl 0461.41010
[19] J. F. Traub, H. Wozniakowski: A General Theory of Optimal Algorithms. Academic Press, New York 1980. MR 0584446 | Zbl 0441.68046
[20] R. Varga: Functional Analysis and Approximation Theory in Numerical Analysis. Society for Industrial and Applied Mathematics, Philadelphia, Pensylvania 1971. MR 0310504 | Zbl 0226.65064
Partner of
EuDML logo