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Iterations of linear bounded operators in non self-adjoint eigenvalue problems and Kellogg's iteration process
Czechoslovak Mathematical Journal, Tome 12 (1962) no. 4, pp. 536-554
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DOI : 10.21136/CMJ.1962.100538
Classification : 47.35 
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     title = {Iterations of linear bounded operators in non self-adjoint eigenvalue problems and {Kellogg's} iteration process},
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}
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Marek, Ivo. Iterations of linear bounded operators in non self-adjoint eigenvalue problems and Kellogg's iteration process. Czechoslovak Mathematical Journal, Tome 12 (1962) no. 4, pp. 536-554. doi: 10.21136/CMJ.1962.100538

[1] И. С. Березин H. П. Жидков: Методы вычислений II. Москва 1959. | Zbl

[2] И. А. Биргер: Некоторые математические методы решения инженерных задач. Москва 1956. | Zbl

[3] L. Collatz: Numerische Behandlung von Differentialgleichungen. Berlin - Göttingen - Heidelberg 1951. | MR | Zbl

[4] R. A. Frazer W. J. Duncan A. R. Collar: Elementary Matrices and Some Applications to Dynamics and Differential Equations. Cambridge 1947. | MR

[5] I. M. Gelfand: Lineární algebra. Praha 1953.

[6] Д. Ф. Харазов: О некоторых свойствах линейных операторов обеспечивающих справедливость теории Гильберта-Шмидта. Усп. мат. наук XII (1957), 4, 201 - 207. | Zbl

[7] J. Kolomý: On Convergence of the Iterative Methods. Comment. Math. Univer. Carol. I. 3 1960, 18-24.

[8] F. Riesz В. Nagy: Leçons d'analyse fonctionelle. Budapest 1953.

[9] A. E. Taylor: Spectral Theory of Closed Distributive Operators. Acta Math. 84 (1951), 189-223. | DOI | MR | Zbl

[10] В. С. Владимиров: Об одном интегро-дифференциальном уравнении. Изв. Акад. Наук СССР, сер. матем. 21 (1957) 3-52. | Zbl

[11] B. C. Владимиров: Численное решение кинетического уравнения для сферы. Вычислительная математика 3 (1958), 3 - 33. | Zbl

[12] Б. 3. Byлих: Введение в функциональный анализ. Москва 1959.

[13] R. Wavre: L'iteration directe des operateurs hermitiens et deux theorémes qui en dependent. Comm. Math. Helv. 15 (1943), 299-317. | DOI | MR

[14] R. Wavre: L'iteration directe des operateurs hermitiens. Comm. Math. Helv. 16 (1944), 65-72. | DOI | MR

[15] H. Wielandt: Das Iterationsverfahren bei nicht selbstadjungierten linearen Eigenwertaufgaben. Math. Zeitschrift 50 (1944), 93 -143. | DOI | MR | Zbl

[16] A. C. Zaanen: Über vollstetige symmetrisch und symmetrisierbare Operatoren. Nieuw Archief voor Wiskunde, (2) 22 (1948), 57-80. | MR

[18] А. С Zaanen: On Linear Functional Equations. Nieuw Archief voor Wiskunde, (2) 22 (1948), 269-282. | MR | Zbl

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