On the solvability of the Birkhoff interpolation problem

Journal of Approximation Theory

Volumn 124, Issue 1, 2003, Pages 109-114

  Rubió, Josep ^a   Diaz Barrero J L ^a   Rubio P ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Birkhoff interpolation; Rectangular vandermonde matrices

Indexed keywords

EID: 0242593084     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9045(03)00132-1     Document Type: Article

References (5)

1. K. Atkinson, A. Sharma, A partial characterization of poised Hermite-Birkhoff interpolation problems, SIAM J. Numer. Anal. 6 (1969) 230-235.
2. B.L. Chalmers, D.J. Johnson, F.T. Metcalf, G.D. Taylor, Remarks on the rank of Hermite-Birkhoff interpolation, SIAM J. Numer. Anal. 11 (1974) 254-259.
3. G.G. Lorentz, Birkhoff interpolation and the problem of free matrices, J. Approx. Theory 6 (1972) 283-290.
4. G.G. Lorentz, K. Jetter, S.D. Riemenschneider, Birkhoff Interpolation, Addison-Wesley, Reading, MA, 1983.
5. J. Schoenberg, On Hermite-Birkhoff interpolation, J. Math. Anal. Appl. 16 (1966) 538-543.