Proof of Stenger�s conjecture on matrix I(-1) of Sinc methods

• Autores: Lixing Han, Jianhong Xu
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 255, Nº 1, 2014, págs. 805-811
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.07.001
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• Resumen

  • In this paper, we prove a conjecture, which was proposed by Frank Stenger in 1997, concerning the localization of eigenvalues of the Sinc matrix I(-1), a problem that is important in both the theory and the practice of Sinc methods. In 2003, Iyad Abu-Jeib and Thomas Shores established a partial answer to this unsolved problem. The techniques they have developed, however, turn out to be the key that finally leads to the settlement here of Stenger�s conjecture.