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

  • Authors:
  • Lixing Han;Jianhong Xu

  • Affiliations:
  • -;-

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2014

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Abstract

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.