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  • 65 D 07  (1)
  • 65 H  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Positive, monotone, andS-convexC 1-interpolation on rectangular grids (1992)
    Springer
    Computing 48 (1992), S. 363-371 
    Details
    ISSN: 1436-5057
    Keywords: 65 D 07 ; 41 A 15 ; 41 A 63 ; Shape preservingC 1-interpolation ; special rational biquadratic splines ; construction by a search procedure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Diese Arbeit befaßt sich mit formerhaltenderC 1-Interpolation von Daten auf Rechteckgittern. Bei Verwendung von speziellen rational-biquadratischen Splines werden Bedingungen hergeleitet, welche hinreichend für die Positität, Monotonie undS-Konvexität sind und welche sich darüber hinaus erfüllen lassen, sofern die Rationalitätsparameter hinreichend groß sind.
    Notes: Abstract This paper is concerned with shape preservingC 1-interpolation of data sets given on rectangular grids. Using special rational biquadratic splines, criteria are derived which are sufficient for the positivity, monotonicity, andS-convexity and which, in addition, are satisfied for sufficiently large rationality parameters.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02238643
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Enclosing methods in perturbed nonlinear operator equations (1984)
    Springer
    Computing 32 (1984), S. 1-11 
    Details
    ISSN: 1436-5057
    Keywords: 65 H ; 65 J ; Nonlinear equation ; monotonous enclosure ; perturbation ; Newton- ; Regula falsi- ; Jacobi-Newton-type methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Es werden nichtlineare Gleichungen betrachtet, die in gewissen Eingangsparametern störungsbehaftet sind. Durch eine Klasse monoton einschließender Verfahren werden Folgen von Intervallen konstruiert, die für jeden Wert der Störungsparameter mindestens eine Nullstelle der Aufgabe enthalten. Für endlich-dimensionale Räume werden u. a. Verfahrensrealisierungen vom Newton-, Regula falsi- und Jacobi-Newton-Typ angegeben.
    Notes: Abstract Nonlinear equations are considered, where some input parameters are subjected to errors. By a class of monotone enclosing methods sequences of intervals are constructed, containing for each value of the perturbation parameter at least one zero of the problem. In finite dimensional spaces concrete realizations are given, e. g. of Newton-, Regula falsi- and Jacobi-Newton-type.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02243015
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    Paper (German National Licenses)
    Fulltext
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