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C. A. Beattie, “An Extension of Aronszajn’s Rule; Slicing the Spectrum for Intermediate Problems,” SIAM Journal on Numerical Analysis, Vol. 24, No. 4, 1987, pp. 828-843. doi:10.1137/0724053

has been cited by the following article:

• TITLE: One Approach to Construction of Bilateral Approximations Methods for Solution of Nonlinear Eigenvalue Problems

  AUTHORS: Bohdan Mykhajlovych Podlevskyi

  KEYWORDS: Nonlinear Eigenvalue Problem; Derivatives of Matrix Determinant; Numerical Algorithm of Alternate Approximations

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.2 No.2, June 21, 2012

  ABSTRACT: In this paper a new approach to construction of iterative methods of bilateral approximations of eigenvalue is proposed and investigated. The conditions on initial approximation, which ensure the convergence of iterative processes, are obtained.