Geodesic
Quartic smoothing splines generalized
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 42 (2003) no. 1, pp. 27-41

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Classification : 41A15, 65D05 
Kobza, Jiří. Quartic smoothing splines generalized. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 42 (2003) no. 1, pp. 27-41. http://geodesic.mathdoc.fr/item/AUPO_2003_42_1_a3/
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     number = {1},
     mrnumber = {2056020},
     zbl = {1049.41005},
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     url = {http://geodesic.mathdoc.fr/item/AUPO_2003_42_1_a3/}
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[1] Atteia M.: Hilbertian Kernels and Spline Functions. Elsevier, 1992. | MR | Zbl

[2] Boor C.: A Practical Guide to Splines. Springer, 1978. | MR | Zbl

[3] Dierckx P.: Curve and Surface Fitting with Splines. Clarendon Press, 1993. | MR | Zbl

[4] Fletcher R.: Practical Methods of Optimization. Wiley, 1993. | MR

[5] Gould N.: On practical conditions for the existence and uniqueness of solutions to the general equality quadratic programming problem. Mathematical Programming 32 (1985) 90-99. | MR | Zbl

[6] Kobza J.: Spline recurrences for quartic splines. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 34 (1995), 75-89. | MR | Zbl

[7] Kobza J.: Local representation of quartic splines. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 36 (1997), 63-78. | MR

[8] Kobza J.: Generalized spline smoothing. Folia Fac. Sci. Nat. Univ. Masaryk. Brunensis, Math. 8 (2001), 33-46. | MR

[9] Kobza J.: Quartic splines with minimal norms. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 40 (2001), 83-104. | MR

[10] Kobza J., Ženčák P.: Some algorithms for quartic smoothing splines. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 36 (1997), 79-94. | MR | Zbl

[11] Laurent P.-J.: Approximation et optimisation. Paris, Herman, 1972. | MR | Zbl

[12] Reinsch C.: Smoothing by spline functions. Numer. Math. 10 (1967), 177-183; 16 (1971) 451-454. | Zbl

[13] Lyche T., Schumaker L. L.: Computation of smoothing and interpolating natural splines via local bases. SIAM Jour. Numer. Anal. 10 (1973), 1027-1038. | MR | Zbl

[14] Spaeth H.: Eindimensionale Spline-Interpolations-Algorithmen. Oldenbourgh, 1990. | MR | Zbl

[15] Vasilenko V. A.: Spline Functions. Nauka, Novosibirsk, 1983 (in Russian). | Zbl

[16] Wahba G.: Spline Models for Observational Data. SIAM, 1990. | MR | Zbl

[17] Verschinin V. V., Zavjalov J. S., Pavlov N. N.: Extremal properties of Splines and the Smoothing problem. Nauka, Novosibirsk, 1988 (in Russian).

[18] Zavjalov J. S., Kvasov B. I., Miroschnichenko V. L.: Methods of Spline-Functions. Nauka, Moscow, 1985 (in Russian).