On inverses of infinite Hessenberg matrices

• Autores: Jesús Carmelo Abderramán Marrero, Venancio Tomeo Perucha , Emilio Torrano Giménez
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 275, Nº 1, 2015, págs. 356-365
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.07.010
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• Resumen

  • Here a known result on the structure of finite Hessenberg matrices is extended to infinite Hessenberg matrices. Its consequences for the example of infinite Hessenberg�Toeplitz matrices are described. The results are applied also to the inversion of infinite tridiagonal matrices via recurrence relations. Moreover, since there are available free parameters, different inverses can be associated with a given invertible tridiagonal matrix.