By means of the Matlab symbolic/variable-precision facilities, routines are developed that generate an arbitrary number of recurrence coefficients to any given precision for polynomials orthogonal with respect to weight functions of Laguerre and Jacobi type containing logarithmic factors. The results are applied to Gaussian quadrature of integrals involving weight functions of the type mentioned.
Cite this work
Researchers should cite this work as follows:
- Gautschi, W. (2014). GQLOG: Matlab routines for computing Gauss Quadrature rules with logarithmic weight functions. Purdue University Research Repository. doi:10.4231/R72R3PMB
This dataset contains 12 Matlab codes and files:
For more details see "Gauss quadrature routines for two classes of logarithmic weight functions", Numerical Algorithms, 2010, Volume 55, Issue 2-3, pp 265-277. doi: 10.1007/s11075-010-9366-0.