Abstract
Theory of quasi-orthogonal polynomials is significantly related to constructing vector Padé approximations. The present paper introduces an efficient procedure to compute adjacent families of quasi-orthogonal polynomials as defined in Sadaka (Appl. Numer. Math. 21:57–70, 1996) and Sadaka (Appl. Numer. Math. 24:483–499, 1997). The derived algorithm uses short recursive relations whose coefficients are written in terms of lower triangular block determinants. The strategy of computing such determinants is given and analyzed.
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Sidki, S., Sadaka, R. The recursive quasi-orthogonal polynomial algorithm. Numer Algor 92, 945–971 (2023). https://doi.org/10.1007/s11075-022-01369-w
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DOI: https://doi.org/10.1007/s11075-022-01369-w