Iterative scheme of finding a spectrum of the product of two non-commutative operators
V. I. Tarakanov, S. A. Lysenkova, M. V. Nesterenko
Surgut State University of KHMAO, Lenien Ave. 1, Surgut, 628400
Keywords: operator, spectrum, iterative algorithm
Abstract
We consider spectral features and an iterative scheme of finding a spectrum of the product of two non-commutative partially symmetric operators in the Hilbert space H. In this case it is assumed that one of operators is compact, the second not necessarily being compact and even restricted in H. Numerical implementation of the iterative scheme for finding the operator spectrum of the problem of eigen-oscillations of the Rayleigh beam is presented.
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