Integer Powers of Anti-Bidiagonal Hankel Matrices

In this paper we derive a general expression for integer powers of real upper and lower anti-bidiagonal matrices with constant anti-diagonals using Chebyshev polynomials. An explicit formula for the inverse of these matrices is also provided.

Detalhes bibliográficos
Autor principal: Silva, João Lita da (author)
Formato: article
Idioma:eng
Publicado em: 2019
Assuntos:
Texto completo:http://hdl.handle.net/10362/76906
País:Portugal
Oai:oai:run.unl.pt:10362/76906
Descrição
Resumo:In this paper we derive a general expression for integer powers of real upper and lower anti-bidiagonal matrices with constant anti-diagonals using Chebyshev polynomials. An explicit formula for the inverse of these matrices is also provided.