Optimal interpolatory splines using B -spline representation

Jitka Machalová

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2002)

  • Volume: 41, Issue: 1, page 105-118
  • ISSN: 0231-9721

How to cite

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Machalová, Jitka. "Optimal interpolatory splines using $B$-spline representation." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 41.1 (2002): 105-118. <http://eudml.org/doc/23723>.

@article{Machalová2002,
author = {Machalová, Jitka},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {interpolatory spline; norm optimisation; -spline basis; minimum semi-norm; -inverse of matrix; minimal norm splines; natural splines},
language = {eng},
number = {1},
pages = {105-118},
publisher = {Palacký University Olomouc},
title = {Optimal interpolatory splines using $B$-spline representation},
url = {http://eudml.org/doc/23723},
volume = {41},
year = {2002},
}

TY - JOUR
AU - Machalová, Jitka
TI - Optimal interpolatory splines using $B$-spline representation
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2002
PB - Palacký University Olomouc
VL - 41
IS - 1
SP - 105
EP - 118
LA - eng
KW - interpolatory spline; norm optimisation; -spline basis; minimum semi-norm; -inverse of matrix; minimal norm splines; natural splines
UR - http://eudml.org/doc/23723
ER -

References

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  1. Boor C. de, A Practical Guide to Splines, Springer, New York, 1978. (1978) Zbl0406.41003MR0507062
  2. Chipman J. S., Specification problems in regression analysis, T. L. Boullion, P. I. Odell, Proceedings of the Symposium on Theory and Applications of Generalized Inverses of Matrices, Texas 1968, 114-176. (1968) MR0254984
  3. Dierckx P., Curve and Surface Fitting with Splines, Clarendon Press, 1993. (1993) Zbl0782.41016MR1218172
  4. Djordovič D. S., Stanimirovič P. S., Universal iterative methods for computing generalized inverses, Acta Mathematica Hungarica 79 (1998), 253-268. (1998) MR1616062
  5. Fletcher R., Practical Methods of Optimization, John Wiley, New York, 1987. (1987) Zbl0905.65002MR0955799
  6. Kobza J., Splajny, VUP, Olomouc, 1993 (textbook in czech). (1993) 
  7. Kobza J., Cubic splines with minimal norm, Applications of Mathematics (to appear). Zbl1090.65012MR1900515
  8. Kobza J., Quartic splines with minimal norm, Dept. Math. Anal. and Appl. Math., Fac. Sci., Palacki Univ., Olomouc, Preprint series 22/2000. MR1904689
  9. Rao C. R., Mitra K. S., Generalized Inverse of Matrices and Its Application, J. Wiley, New York, 1971. (1971) MR0338013

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