Faculté des sciences

## Adaptive point shifts in rational approximation with optimized denominator

### In: Journal of Computational and Applied Mathematics, 2004, vol. 164-165, p. 81

Classical rational interpolation is known to suffer from several drawbacks, such as unattainable points and randomly located poles for a small number of nodes, as well as an erratic behavior of the error as this number grows larger. In a former article, we have suggested to obtain rational interpolants by a procedure that attaches optimally placed poles to the interpolating polynomial, using the... More