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.

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

  BibTex | EndNote

1. Computer Science
2. Computer Science (Dept)
3. Gaussian quadrature
4. Jacobi weight functions
5. Logarithmic weight functions
6. Mathematics
7. Matlab
8. Modified Chebyshev algorithm
9. Orthogonal polynomials
10. Software source code
11. Variable-precision arithmetic
12. Walter Gautschi Archives

This dataset contains 12 Matlab codes and files:

• momlaglog.m
• mmomlaglog.m
• schebyshev.m
• sr_laguerrelog0.m
• sr_laguerrelog1.m
• momjaclog.m
• mmomjaclog.m
• sr_jacobilog0.m
• sr_jacobilog1.m
• GLExample.m
• GJExample1.m
• GJExample2.m

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.