Skip to main content
SpringerLink
Log in

Restricted Systems

  • Published:
Advances in Computational Mathematics Aims and scope Submit manuscript

Abstract

Restricted systems are introduced and characterized. They are related with usual properties of spline spaces with relevant consequences in geometric modelling. It is a weaker property than local linear independence but it is preserved under a wide range of transformations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. T. Ando, Totally positive matrices, Linear Algebra Appl. 90 (1987) 165–219.

    Google Scholar 

  2. J.M. Carnicer, T.N.T. Goodman and J.M. Peña, A generalization of the variation diminishing property, Adv. Comput. Math. 3 (1993) 375–394.

    Google Scholar 

  3. J.M. Carnicer and E. Mainar, Factorization of normalized totally positive systems in: Curve and Surface Design: Saint-Malo 1999, eds. P.-J. Laurent, P. Sablonnière and L.L. Schumaker (Vanderbilt Univ. Press, Nashville, TN, 1999) pp. 1–8.

    Google Scholar 

  4. J.M. Carnicer and J.M. Peña, Least supported bases and local linear independence, Numer. Math. 67 (1994) 289–301.

    Google Scholar 

  5. J.M. Carnicer and J.M. Peña, Totally positive bases for shape preserving curve design and optimality of B-splines, Computer-Aided Geom. Design 11 (1994) 635–656.

    Google Scholar 

  6. J.M. Carnicer and J.M. Peña, Characterizations of the optimal Descartes' rules of signs, Math. Nachr. 189 (1998) 33–48.

    Google Scholar 

  7. O. Davydov, On almost interpolation, J. Approx. Theory 91 (1997) 398–418.

    Google Scholar 

  8. O. Davydov, M. Sommer and H. Strauss, On almost interpolation and locally linearly independent bases, East J. Approx. 5 (1999) 67–88.

    Google Scholar 

  9. N. Dyn and C.A.Micchelli, Piecewise polynomial spaces and geometric continuity of curves, Numer. Math. 54 (1988) 319–337.

    Google Scholar 

  10. J.M. Peña, Shape Preserving Representations in Computer-Aided Geometric Design (Nova Science, Commack, NY, 1999).

    Google Scholar 

  11. L.L. Schumaker, Spline Functions: Basic Theory (Wiley, New York, 1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009, Zaragoza, Spain

    J.M. Carnicer, E. Mainar & J.M. Peña

Authors
  1. J.M. Carnicer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. Mainar
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J.M. Peña
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Carnicer, J., Mainar, E. & Peña, J. Restricted Systems. Advances in Computational Mathematics 18, 79–90 (2003). https://doi.org/10.1023/A:1021267126479

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021267126479

Search

Navigation