This article is cited in 2 papers

Convergence of the Newton–Kantorovich Method for Calculating Invariant Subspaces

Yu. M. Nechepurenko^a, M. Sadkane<sup>b

a</sup> Institute of Numerical Mathematics, Russian Academy of Sciences
^b Université de Bretagne Occidentale

Abstract: We propose a version of the Newton–Kantorovich method which, given a nondegenerate square $n\times n$ matrix and a number $m$, allows us to calculate the invariant subspace corresponding to its smallest (in modulus) eigenvalues. We obtain estimates of the rate of convergence via an integral criterion for circular dichotomy.

UDC: 512.64

Received: 24.10.2002

DOI: 10.4213/mzm11

 English version: Mathematical Notes, 2004, 75:1, 101–106

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