Para depositar en Docta Complutense, identifícate con tu correo @ucm.es en el SSO institucional. Haz clic en el desplegable de INICIO DE SESIÓN situado en la parte superior derecha de la pantalla. Introduce tu correo electrónico y tu contraseña de la UCM y haz clic en el botón MI CUENTA UCM, no autenticación con contraseña.

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

Citation

Amílcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas, Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials, Advances in Mathematics, Volume 434, 2023, 109313, ISSN 0001-8708, https://doi.org/10.1016/j.aim.2023.109313.

Abstract

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.

Research Projects

Organizational Units

Journal Issue

Description

Keywords

Collections