On hermite interpolation by Cauchy-Vandermonde systems: The Lagrange formula, the adjoint and the inverse of a Cauchy-Vandermonde matrix

Journal of Computational and Applied Mathematics

Volumn 67, Issue 1, 1996, Pages 147-159

  Muhlbach G ^a  

^a Leibniz University Hannover   (Germany)

Author keywords

Cauchy Vandermonde systems; Hermite interpolation; Inverse of a Cauchy Vandermonde matrix

Indexed keywords

FUNCTIONS; INVERSE PROBLEMS; LAGRANGE MULTIPLIERS; MATRIX ALGEBRA; POLES AND ZEROS;

CAUCHY-VANDERMONDE SYSTEMS; HERMITE INTERPOLATION; INVERSE OF CAUCHY-VANDERMONDE MATRIX; POLE SEQUENCE; RATIONAL FUNCTIONS;

INTERPOLATION;

EID: 0030079806     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(94)00116-2     Document Type: Article

References (5)

1. J. Berezin and N. Zhidkov, Computing Methods, Vol. 1 (Addison-Wesley, Reading, MA, 1965).
2. C. Carstensen and G. Mühlbach, The Neville-Aitken formula for rational interpolants with prescribed poles, Numer. Algorithms 3 (1992) 133-142.
3. M. Gasca, J.J. Martinez and G. Mühlbach, Computation of rational interpolants with prescribed poles, J. Comput. Appl. Math. 26 (1989) 297-309.
4. G. Mühlbach, Computation of Cauchy-Vandermonde determinants, J. Number Theory 43 (1993) 74-81.
5. G. Mühlbach, On interpolation by rational functions with prescribed poles and applications to multivariate interpolation, J. Comput. Appl. Math. 32 (1990) 203-216.