Quartic splines with minimal norms

Jiří Kobza

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2001)

  • Volume: 40, Issue: 1, page 103-124
  • ISSN: 0231-9721

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Kobza, Jiří. "Quartic splines with minimal norms." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 40.1 (2001): 103-124. <http://eudml.org/doc/23704>.

@article{Kobza2001,
author = {Kobza, Jiří},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {quartic splines; optimal splines; interpolating minimum norm spline},
language = {eng},
number = {1},
pages = {103-124},
publisher = {Palacký University Olomouc},
title = {Quartic splines with minimal norms},
url = {http://eudml.org/doc/23704},
volume = {40},
year = {2001},
}

TY - JOUR
AU - Kobza, Jiří
TI - Quartic splines with minimal norms
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2001
PB - Palacký University Olomouc
VL - 40
IS - 1
SP - 103
EP - 124
LA - eng
KW - quartic splines; optimal splines; interpolating minimum norm spline
UR - http://eudml.org/doc/23704
ER -

References

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  1. Bjorck A., Numerical Methods for Least Squares Problems, SIAM, Philadelphia, 1996. (1996) MR1386889
  2. Boor C., A Practical Guide to Splines, Springer, 1978. (1978) Zbl0406.41003MR0507062
  3. Gould I. M., On practical conditions for the existence and uniqueness of solutions to the general equality quadratic programming probem, Mathematical Programming 32 (1985) 90-99. (1985) MR0787745
  4. Kobza J., Quartic interpolatory splines, Studia Univ. Babes-Bolyai, Math. (1996). (1996) MR1644442
  5. Kobza J., Spline recurrences for quartic splines, Acta Univ. Palacki. Olomuc., Fac. rer. nat. 34, Math. 63 (1995), 229-236. (1995) Zbl0854.41011MR1447257
  6. Kobza J., Local representation of quartic splines, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 36 (1997), 63-78. (1997) MR1620525
  7. Kobza J., Splajny, Vydavatelství UP, Olomouc, 1993 (textbook in Czech), (1993) 
  8. 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) 
  9. Kobza J., Ženčák P., Some algorithms for quartic smoothing splines, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 36 (1997), 79-94. (1997) Zbl0958.41004MR1620529

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