Optimal quadratic interpolatory splines on general knotset
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2000)
- Volume: 39, Issue: 1, page 73-94
- ISSN: 0231-9721
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topKobza, Jiří. "Optimal quadratic interpolatory splines on general knotset." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 39.1 (2000): 73-94. <http://eudml.org/doc/23697>.
@article{Kobza2000,
author = {Kobza, Jiří},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {interpolatory spline; norm optimization; B-spline basis; minimum semi-norm; g-inverse of a matrix},
language = {eng},
number = {1},
pages = {73-94},
publisher = {Palacký University Olomouc},
title = {Optimal quadratic interpolatory splines on general knotset},
url = {http://eudml.org/doc/23697},
volume = {39},
year = {2000},
}
TY - JOUR
AU - Kobza, Jiří
TI - Optimal quadratic interpolatory splines on general knotset
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2000
PB - Palacký University Olomouc
VL - 39
IS - 1
SP - 73
EP - 94
LA - eng
KW - interpolatory spline; norm optimization; B-spline basis; minimum semi-norm; g-inverse of a matrix
UR - http://eudml.org/doc/23697
ER -
References
top- Fletcher R., Practical Methods of Optimization, Wiley, New York, 1993. (1993) MR0955799
- Maess G., Smooth interpolation of curves and surfaces by quadratic splines with minimal curvature, In: Numerical methods and Applications ’84, Sofia, 1985, 75-81. (1985)
- Kobza J., Optimal interpolation with quadratic splines on simple grid, Dept. Math. Anal. and Appl. Math., Fac. Sci., Palacki Univ., Olomouc, Preprint series 31, Proceed. ODAM’99 (1999), 7-22. (1999) MR1767192
- Kobza J., Splajny, VUP, Olomouc, 1993 (textbook in Czech). (1993)
- Kobza J., Natural and smoothing quadratic spline, Appl. of Math. 36, 3 (1991), 187-204. (1991) Zbl0731.65006MR1109124
- Kobza J., Computing solutions of linear difference equations, Dept. Math. Anal. and Appl. Math., Fac. Sci., Palacki Univ., Olomouc, Preprint series 21, 1999; Proceedings SANM XIII, Nectiny 1999, 157-172. (1999)
- Kobza J., Quadratic splines interpolating derivatives, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 30 (1991), 219-233. (1991) Zbl0758.41005MR1166439
- Björck A., Numerical Methods for Least Squares Problems, SIAM, Philadelphia, 1996. (1996) Zbl0847.65023MR1386889
- Brugnano L., Trigiante D., Solving Differential Problems by Multistep Initial and Boundary Value Methods, Gordon and Breach Publ., 1998. (1998) MR1673796
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