Marek, Ivo; Zitko, Jan Ljusternik acceleration and the extrapolated S.O.R. method. (English) Zbl 0367.65016 Apl. Mat. 22, 116-133 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 65F10 Iterative numerical methods for linear systems 65F15 Numerical computation of eigenvalues and eigenvectors of matrices 65N22 Numerical solution of discretized equations for boundary value problems involving PDEs 65J05 General theory of numerical analysis in abstract spaces PDF BibTeX XML Cite \textit{I. Marek} and \textit{J. Zitko}, Apl. Mat. 22, 116--133 (1977; Zbl 0367.65016) Full Text: EuDML OpenURL References: [1] L. A. Ljusternik: A note for the numerical solution of boundary value problems for the Laplace equation and for the calculation of eigenvalues by the method of nets. Trudy Inst. Math. Academy of Sciences of the USSR, 20 (1947), 49-64 [2] I. Marek: On a method of accelerating the convergence of iterative processes. Journal Comp. Math. and Math. Phys. 2 (1962), N 2, 963 - 971 [3] I. Marek: On Ljusternik’s method of improving the convergence of nonlinear iterative sequences. Comment. Math. Univ. Carol, 6 (1965), N3, 371 - 380. · Zbl 0195.43003 [4] I. Marek: On some spectral properties of Radon-Nikolskii operators and their generalizations. Comment. Math. Univ. Carol. 3. (1962), N1, 20-30. · Zbl 0119.11403 [5] A. E. Taylor: Introduction to Functional Analysis. J. Wiley Publ. New York, 1958. · Zbl 0081.10202 [6] D. M. Young: Iterative Solution of Large Linear Systems. Academic Press, New York - London, 1971. · Zbl 0231.65034 [7] J. Zítko: Extrapolation of S.O.R. iterations. Apl. Mat. 19 (1974), 72-89. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.