Uvarov perturbations for matrix orthogonal polynomials
Copyright policy )Uvarov perturbations for matrix orthogonal polynomials
Additive perturbations, specifically matrix Uvarov transformations for matrix orthogonal polynomials, are under consideration. Christoffel–Uvarov formulas are deduced for the perturbed biorthogonal families, along with their matrix norms. These formulations are expressed in terms of the spectral jets of the Christoffel–Darboux kernels.
quasidefinite matrix of generalized kernels, matrix Uvarov transformations, Factorization of matrices, Gauss-Borel factorization, matrix biorthogonal polynomials, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Christoffel type formulas, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 42C05, 15A23, spectral theory of matrix polynomials
quasidefinite matrix of generalized kernels, matrix Uvarov transformations, Factorization of matrices, Gauss-Borel factorization, matrix biorthogonal polynomials, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Christoffel type formulas, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 42C05, 15A23, spectral theory of matrix polynomials
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