Multiple Orthogonality and Applications in Numerical Integration

@inproceedings{Milovanovic2012MultipleOA,
  title={Multiple Orthogonality and Applications in Numerical Integration},
  author={Gradimir V. Milovanovic and Marija P. Stanic},
  year={2012}
}
In this paper a brief survey of multiple orthogonal polynomi als defined using orthogonality conditions spread out over r different measures are given. We consider multiple orthogonal polynomials on the real line, as well as on the unit semicircle in the complex plane. Such polynomials satisfy a linear recurrence relation of orderr +1, which is a generalization of the well known three-term rec u rence relation for ordinary orthogonal polynomials (the case r = 1). Method for the numerical… CONTINUE READING
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