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Pseudoperturbation operator in generalized eigenvalue problem under group symmetry

B. V. Loginov1, O. V. Makeeva2

AnnotationIt is suggested process for pseudoperturbation operator construction when an considered generalized eigenvalue problem process an group symmetry. On the base of introducing such operator iterational processes {\cite{loginovb2En}-\cite{loginovb3En}} can be applied for refining of approximations to spectral characteristics of direct and conjugate problems.
Keywordsgeneralized eigenvalue problem, pseudoperturbation method, group symmetry.

1Professor of Higher Mathematics Chair, Ulyanovsk State Technical University, Ulyanovsk;

2Associate professor of Mathematics Analyze Chair, Ulyanovsk State Pedagogical University after I. N. Ulyanova, Ulyanovsk;

Citation: B. V. Loginov, O. V. Makeeva, "[Pseudoperturbation operator in generalized eigenvalue problem under group symmetry]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,11:2 (2009) 43–48 (In Russian)