Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials

Spectral and factorization properties of oscillatory matrices lead to a spectral Favard theorem for bounded banded matrices, that admit a positive bidiagonal factorization, in terms of sequences of mixed multiple orthogonal polynomials with respect to a set positive Lebesgue–Stieltjes measures. A mi...

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Vydáno v:	Advances in mathematics (New York. 1965) Ročník 434; s. 109313
Hlavní autoři:	Branquinho, Amílcar, Foulquié-Moreno, Ana, Mañas, Manuel
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Inc 01.12.2023
Témata:	Bounded banded matrices Favard spectral representation Mixed multiple Gaussian quadrature Mixed multiple orthogonal polynomials Oscillatory matrices Totally nonnegative matrices 33C47 Bounded banded matrices Mixed multiple Gaussian quadrature 33C45 Totally nonnegative matrices 47B39 47B36 Favard spectral representation Mixed multiple orthogonal polynomials Oscillatory matrices 42C05
ISSN:	0001-8708, 1090-2082
On-line přístup:	Získat plný text
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Popis
Shrnutí:	Spectral and factorization properties of oscillatory matrices lead to a spectral Favard theorem for bounded banded matrices, that admit a positive bidiagonal factorization, in terms of sequences of mixed multiple orthogonal polynomials with respect to a set positive Lebesgue–Stieltjes measures. A mixed multiple Gauss quadrature formula with corresponding degrees of precision is given.
ISSN:	0001-8708 1090-2082
DOI:	10.1016/j.aim.2023.109313