Biorthogonal polynomials are constructed via LU factorization of Gram matrices, recovering Hankel-case properties, classical orthogonal polynomials, and Christoffel-Geronimus perturbation formulas.
Zhedanov, Rational spectral transformations and orthogonal polynomials , Journal of Computational and Applied Mathematics, 85 (1997) 67-86
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Revisiting Biorthogonal Polynomials. An $LU$ factorization discussion
Biorthogonal polynomials are constructed via LU factorization of Gram matrices, recovering Hankel-case properties, classical orthogonal polynomials, and Christoffel-Geronimus perturbation formulas.