| Title:
|
Quartic smoothing splines generalized (English) |
| Author:
|
Kobza, Jiří |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
42 |
| Issue:
|
1 |
| Year:
|
2003 |
| Pages:
|
27-41 |
| . |
| Category:
|
math |
| . |
| MSC:
|
41A15 |
| MSC:
|
65D05 |
| idZBL:
|
Zbl 1049.41005 |
| idMR:
|
MR2056020 |
| . |
| Date available:
|
2009-01-29T16:03:08Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120463 |
| . |
| Reference:
|
[1] Atteia M.: Hilbertian Kernels and Spline Functions.Elsevier, 1992. Zbl 0767.41015, MR 1205348 |
| Reference:
|
[2] Boor C.: A Practical Guide to Splines.Springer, 1978. Zbl 0406.41003, MR 0507062 |
| Reference:
|
[3] Dierckx P.: Curve and Surface Fitting with Splines.Clarendon Press, 1993. Zbl 0782.41016, MR 1218172 |
| Reference:
|
[4] Fletcher R.: Practical Methods of Optimization.Wiley, 1993. MR 0955799 |
| Reference:
|
[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. Zbl 0591.90068, MR 0787745 |
| Reference:
|
[6] Kobza J.: Spline recurrences for quartic splines.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 34 (1995), 75-89. Zbl 0854.41011, MR 1447257 |
| Reference:
|
[7] Kobza J.: Local representation of quartic splines.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 36 (1997), 63-78. MR 1620525 |
| Reference:
|
[8] Kobza J.: Generalized spline smoothing.Folia Fac. Sci. Nat. Univ. Masaryk. Brunensis, Math. 8 (2001), 33-46. MR 1843365 |
| Reference:
|
[9] Kobza J.: Quartic splines with minimal norms.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 40 (2001), 83-104. MR 1904689 |
| Reference:
|
[10] Kobza J., Ženčák P.: Some algorithms for quartic smoothing splines.Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 36 (1997), 79-94. Zbl 0958.41004, MR 1620529 |
| Reference:
|
[11] Laurent P.-J.: Approximation et optimisation.Paris, Herman, 1972. Zbl 0238.90058, MR 0467080 |
| Reference:
|
[12] Reinsch C.: Smoothing by spline functions.Numer. Math. 10 (1967), 177-183; 16 (1971) 451-454. Zbl 0161.36203 |
| Reference:
|
[13] Lyche T., Schumaker L. L.: Computation of smoothing and interpolating natural splines via local bases.SIAM Jour. Numer. Anal. 10 (1973), 1027-1038. Zbl 0239.65015, MR 0336959 |
| Reference:
|
[14] Spaeth H.: Eindimensionale Spline-Interpolations-Algorithmen.Oldenbourgh, 1990. Zbl 0701.41015, MR 1208909 |
| Reference:
|
[15] Vasilenko V. A.: Spline Functions.Nauka, Novosibirsk, 1983 (in Russian). Zbl 0529.41013 |
| Reference:
|
[16] Wahba G.: Spline Models for Observational Data.SIAM, 1990. Zbl 0813.62001, MR 1045442 |
| Reference:
|
[17] Verschinin V. V., Zavjalov J. S., Pavlov N. N.: Extremal properties of Splines and the Smoothing problem.Nauka, Novosibirsk, 1988 (in Russian). |
| Reference:
|
[18] Zavjalov J. S., Kvasov B. I., Miroschnichenko V. L.: Methods of Spline-Functions.Nauka, Moscow, 1985 (in Russian). |
| . |
