Bibliographic record for `VanDeun:2007:ANB'

@Article{VanDeun:2007:ANB,
  author =       "Joris Van Deun and Karl Deckers and Adhemar Bultheel and J. A. C. Weideman",
  title =        "Algorithm 882: Near Best Fixed Pole Rational Interpolation with Applications in Spectral Methods",
  journal =      "{ACM} Transactions on Mathematical Software",
  volume =       "35",
  number =       "2",
  month =        jul,
  year =         "2008",
  pages =        "14",
  note =         "Article 14, 21 pages",
  URL =          "http://doi.acm.org/10.1145/1377612.1377618",
  abstract =     "We present a numerical procedure to compute the nodes and weights in rational Gauss-Chebyshev 
                 quadrature formulas. Under certain conditions on the poles, these nodes are near best for rational 
                 interpolation with prescribed poles (in the same sense that Chebyshev points are near best for 
                 polynomial interpolation). As an illustration, we use these interpolation points to solve a 
                 differential equation with an interior boundary layer using a rational spectral method.
                 \par The algorithm to compute the interpolation points (and, if required, the quadrature weights) 
                 is implemented as a \textsc{Matlab} program.",
}