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On the speed of convergence of the total step iterative method for a class of interval linear algebraic systems

О скорости сходимости полнощагового итерационного метода для одного класса интервальных систем линейных алгебраических уравнений

  • Mathematical Research
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Reliable Computing

Abstract

The equality of the asymptotic convergence factor for the total step method and the spectral radius of the absolute value of its interval matrix is proved for a set of interval linear algebraie systems.

Abstract

Для некоторото множества интервальных снстем линенных алебраическнх уравнений локазано совнадение асимнтотическото фактора схолнмости нолнощагового иолнощагового итеращонного метода со снектральным радиусом модуля матриы интервальных коэффщщентов.

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References

  1. Alefeld, G. and Herzberger, J.Introduction to interval computations. Academic Press, N.Y., 1983.

    Google Scholar 

  2. Gantmacher, F. R.Matrix theory. Nauka, Moscow, 1988 (in Russian).

    Google Scholar 

  3. Lyashko, M. A.On the speed of convergence of the total step iterative method for a class of interval linear algebraic systems. Deposited in VINITI 08.02.96, No 430–B96.

  4. Mayer, G.On the speed of convergence of the total step method in interval computations. In: Ortiz, E. L. (ed.) “Numerical Approximation of Partial Differential Equations”, North-Holland, Amsterdam, 1987.

    Google Scholar 

  5. Mayer, G.On the asymptotic convergence factor of the total step method in interval computation. Lin. Alg. Appl.85 (1987), pp. 153–164.

    Article  MATH  Google Scholar 

  6. Ortega, J. M. and Rheinbolt, W. C.Iterative solution of nonlinear equations in several variables. Academic Press, New York, 1970.

    Google Scholar 

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Authors and Affiliations

  1. 31-523, K. Marx str. Balashov, 412340, Saratov rgn, Russia

    Marina A. Lyashko

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  1. Marina A. Lyashko
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© M. Lyashko, 1996

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Lyashko, M.A. On the speed of convergence of the total step iterative method for a class of interval linear algebraic systems. Reliable Comput 2, 351–356 (1996). https://doi.org/10.1007/BF02389895

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  • DOI: https://doi.org/10.1007/BF02389895

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