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

نویسندگان

  • Lixing Han
  • Jianhong Xu
چکیده

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.

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 255  شماره 

صفحات  -

تاریخ انتشار 2014