Bi-Newton’s method for computing spectral projectors



Newton’s method, inverse iterations, tuning, invariant subspace, spectral projector


An efficient Newton-like method for computing the spectral projector associated with a separated group of eigenvalues near a specified shift of a large sparse matrix is proposed and justified. A number of numerical experiments with a discrete analogue of the non-Hermitian elliptic operator are discussed.

Author Biographies

K.V. Demyanko

Yu.M. Nechepurenko


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How to Cite

Демьянко К., Нечепуренко Ю. Bi-Newton’s Method for Computing Spectral Projectors // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2014. 15. 121-129



Section 1. Numerical methods and applications