The pseudoperturbation method in generalized eigenvalue problems

Doklady Mathematics

Volumn 77, Issue 2, 2008, Pages 194-197

  Loginov, B V ^a   Makeeva, O V ^b  

^a ULYANOVSK STATE TECHNICAL UNIVERSITY   (Russian Federation)

^b ULYANOVSK STATE PEDAGOGICAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONAL ANALYSIS; LINEARIZATION; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

GENERALIZED JORDAN CHAINS (GJC); MATRIX OPERATORS; PSEUDOPERTURBATION METHOD;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 43049099339     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1064562408020099     Document Type: Article

References (12)

1. M. K. Gavurin, Zh. Vychisl. Mat. Mat. Fiz. 1, 751-770 (1961).
2. F. Kuhnert, Math. Forschungsber 26, 1-119 (1971).
3. B. V. Loginov, D. G. Rakhimov, and N. A. Sidorov, Fields Inst. Commun. 26, 367-381 (2000).
4. B. V. Loginov, O. V. Makeeva, and A. V. Tsyganov, in Functional Analysis (Ul'yanovsk. Gos. Pedagogical Univ., Ul'yanovsk, 2003), Vol. 38, pp. 53-62 [in Russian].
5. I. V. Konopleva, B. V. Loginov, and O. V. Makeeva, Tr. Srednevolzh. Mat. O-va 7(1), 105-113 (2005).
6. O. V. Makeeva, in Functional Analysis (Ul'yanovsk. Gos. Pedagogical Univ., Ul'yanovsk, 2003), Vol. 39, pp. 31-38 [in Russian].
7. B. V. Loginov and Yu. B. Rousak, Nonlin. Anal. 17(3), 219-231 (1991).
8. M. M. Vainberg and V. A. Trenogin, Theory of Branching of Solutions of Non-Linear Equations (Nauka, Moscow, 1969; Noordhoff, Leyden, 1974).
9. V. A. Il'in and E. I. Moiseev, Differ. Uravn. 23, 1198-1207 (1987).
10. V. A. Il'in and E. I. Moiseev, Differ. Uravn. 23, 1422-1431 (1987).
11. B. V. Loginov and O. V. Makeeva, Tr. Srednevolzh. Mat. O-va 9(2), 105-109 (2007).
12. V. A. Baikov, R. K. Gazizov, and N. Kh. Ibragimov, Itogi Nauki Tekh., Ser.: Sovr. Probl. Mat. Fundam. Noveishie Dostizheniya, 34, 85-147 (1989).