Shohat-Favard and Chebyshev’s methods in d-orthogonality. This paper is concerned with the Shohat-Favard, Chebyshev and Modified Chebyshev methods for d-orthogonal polynomial sequences d∈ℕ. Shohat-Favard’s method is presented from the concept of dual sequence of a sequence of polynomials. We deduce the recurrence relations for the Chebyshev and the Modified Chebyshev methods for every d∈ℕ. The three methods are implemented in the Mathematica programming language. We show several formal and numerical tests realized with the software developed. (netlib numeralgo na15)
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References in zbMATH (referenced in 4 articles , 1 standard article )
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- Bourreau, E.: Modified moments and matrix orthogonal polynomials (2000)
- da Rocha, Zélia: Shohat-Favard and Chebyshev’s methods in $d$-orthogonality (1999)