Quadratic decomposition of orthogonal polynomials: a matrix approach

@article{Marcelln1992QuadraticDO,
  title={Quadratic decomposition of orthogonal polynomials: a matrix approach},
  author={Francisco Marcell{\'a}n and Gabriela Sansigre},
  journal={Numerical Algorithms},
  year={1992},
  volume={3},
  pages={285-298}
}
We consider a scalar orthogonal polynomial set associated with a regular functional. Its quadratic decomposition allows us to consider 2×2 matrix orthogonal polynomials whose coefficients are the components of the mentioned decomposition. The connection between the recurrence relations is given.