Kellogg’s iterations for general complex matrix. (English) Zbl 0315.65025


65F15 Numerical computation of eigenvalues and eigenvectors of matrices
15A18 Eigenvalues, singular values, and eigenvectors
65B05 Extrapolation to the limit, deferred corrections
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[1] A. S. Householder: The Theory of Matrices in Numerical Analysis. Blaisdell Publishing Company 1965.
[2] A. Ralston: A First Course in Numerical Analysis. Mc Graw-Hill Book Company, 1965. · Zbl 0139.31603
[3] R. S. Varga: Matrix Iterative Analysis. Prentice-Hall, Englewood Cliffs, New Jersey, 1962. · Zbl 0133.08602
[4] V. Jarník: Differential Calculus II. (in Czech). Nakladatelství ČSAV, Praha 1956.
[5] I. Marek: Iterations of Linear Bounded Operators in Non Self-Adjoint Eigenvalue Problems and Kellogg’s Iteration Process. Czech. Math. Journal, 12 (87), 536-554, Prague. · Zbl 0192.23701
[6] O. D. Kellogg: On the existence and closure of sets of characteristic functions. Math. Annalen, Band 86, Berlin 1922. · JFM 48.0484.02
[7] F. Riesz B. Nagy: Lecons d’analyse fonctionelle. Budapest 1953.
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