Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices | Zendy

Ayoub Harrat | Zendy; El Hassan Zerouali | Zendy; Lech Zieliński | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices

Author(s) -

Ayoub Harrat,

El Hassan Zerouali,

Lech Zieliński

Publication year - 2020

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2020.40.2.241

Subject(s) - tridiagonal matrix , eigenvalues and eigenvectors , mathematics , class (philosophy) , asymptotic expansion , spectrum (functional analysis) , pure mathematics , jacobi operator , discrete spectrum , mathematical analysis , jacobi polynomials , orthogonal polynomials , physics , computer science , quantum mechanics , artificial intelligence

We investigate a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. Our purpose is to establish the asymptotic expansion of large eigenvalues and to compute two correction terms explicitly.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research