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  • 1
    Electronic Resource
    Electronic Resource
    Computational aspects of multivariate polynomial interpolation (1995)
    Springer
    Advances in computational mathematics 3 (1995), S. 219-237 
    Details
    ISSN: 1572-9044
    Keywords: Lagrange interpolation ; finite difference ; algorithm ; Primary ; 41A05 ; 41A10 ; 65D05 ; 65D10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The paper is concerned with the practical implementation of two methods to compute the solution of polynomial interpolation problems. In addition to a description of the implementation, practical results and several improvements will be discussed, focusing on speed and robustness of the algorithms under consideration.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02432000
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    H-bases for polynomial interpolation and system solving (2000)
    Springer
    Advances in computational mathematics 12 (2000), S. 335-362 
    Details
    ISSN: 1572-9044
    Keywords: ideal bases ; Gröbner bases ; multivariate polynomials ; interpolation ; systems of polynomial equations ; 65D05 ; 65H10 ; 13P10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The H-basis concept allows, similarly to the Gröbner basis concept, a reformulation of nonlinear problems in terms of linear algebra. We exhibit parallels of the two concepts, show properties of H-bases, discuss their construction and uniqueness questions, and prove that n polynomials in n variables are, under mild conditions, already H-bases. We apply H-bases to the solution of polynomial systems by the eigenmethod and to multivariate interpolation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018937723499
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Regular points for Lagrange interpolation on the unit disk (1996)
    Springer
    Numerical algorithms 12 (1996), S. 287-296 
    Details
    ISSN: 1572-9265
    Keywords: Lagrange interpolation ; two variables ; unit disk ; AMS(MOS) Primary: 41A05, 65D10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract A set of points on the unit disk of the Euclidean plane is given, which admits unique Lagrange interpolation. The points have rotational symmetry and they form an example of natural lattices of Chung and Yao [2]. Properties of Lagrange interpolation with respect to these points are studied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02142808
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    Paper (German National Licenses)
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