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Solvability problems of bivariate interpolation I (1986)

Lorentz, G. G. ; Lorentz, R. A.

Springer

Constructive approximation 2 (1986), S. 153-169

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ISSN: 1432-0940

Keywords: 41A05 ; 65N30 ; Interpolation matrix ; Multimatrix ; Regularity ; Almost regularity ; Shifts ; Coalescence of matrices ; Partial derivatives of determinants

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract This paper is devoted to bivariate interpolation. The problem is to find a polynomialP(x, y) whose values and the values of whose derivatives at given points match given data. Methods of Birkhoff interpolation are used throughout. We define interpolation matricesE, their regularity, their almost regularity, and finally the regularity of the pairE, Z for a given set of knotsZ. Many concrete examples and applications are possible.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01893422

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