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Some stochastic properties of the best determined terms method. (English) Zbl 0346.65069

MSC:

65R20 Numerical methods for integral equations
45B05 Fredholm integral equations
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References:

[1] G. E. Forsythe C. B. Moler: Computer solution of linear algebraic systems. Prentice Hall, Englewood Cliffs, New Jersey, 1967. · Zbl 0154.40401
[2] R. J. Hanson: A numerical method for solving Fredholm integral equations of the first kind using singular values. SIAM J. Numer. Anal., Vol. 8 (1971), 616-622. · Zbl 0199.50803 · doi:10.1137/0708058
[3] J. Hekela: Inversion by the method of the best determined terms. (Czech), to appear in Bull. Astr. Inst. ČSAV.
[4] J. Cifka: The best determined terms method. to appear.
[5] J. Neuberg: Some limit properties of the best determined terms method. to appear. · Zbl 0356.45001
[6] T. L. Bouillon, P L. Odell: Generalized inverse matrices. London, John Wiley and Sons, 1971.
[7] В. Р. Турчин В. П. Козлов М. С. Малкевич: Использование методов математической статистики для решения некорректных задач. Успехи Физических Наук, Том. 102, 1970. · Zbl 1230.76053 · doi:10.1143/JPSJ.29.1366
[8] J. Bass: Calcul des probabilités. Masson et Cie, 1967. · Zbl 0183.19301
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