Algorithms are developed for computing the coefficients in the three-term recurrence relation of repeatedly modified orthogonal polynomials, the modifications involving division of the orthogonality measure by a linear function with real or complex coefficient. The respective Gaussian quadrature rules can be used to account for simple or multiple poles that may be present in the integrand. Several examples are given to illustrate this.
Cite this work
Researchers should cite this work as follows:
- Gautschi, W. (2014). RMOP: Repeated modifications of orthogonal polynomials. Purdue University Research Repository. doi:10.4231/R7F18WNB
This dataset contains 20 Matlab codes and 2 data sets:
This is a companion piece to the paper "Repeated modifications of orthogonal polynomials by linear divisors", Numerical Algorithms, 2013, Volume 63, Issue 2, pp. 369-383. doi: 10.1007/s11075-012-9627-1.