An algorithm for computing a Padé approximant with minimal degree denominator

• Autores: O. L. Ibryaeva, V. M. Adukov
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 237, Nº 1, 2013, págs. 529-541
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper, a new definition of a reduced Padé approximant and an algorithm for its computation are proposed. Our approach is based on the investigation of the kernel structure of the Toeplitz matrix. It is shown that the reduced Padé approximant always has nice properties which the classical Padé approximant possesses only in the normal case. The new algorithm allows us to avoid the appearance of Froissart doublets induced by computer roundoff in the non-normal Padé table.