Aggregation-iterative analogues and generalizations of projection-iterative methods

  • B.A. Shuvar Lviv Polytechnic National University, 12 Bandera str., 79013, Lviv, Ukraine
  • A.F. Obshta Lviv Polytechnic National University, 12 Bandera str., 79013, Lviv, Ukraine
  • M.I. Kopach Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
Keywords: projection-iterative methods, decomposition, aggregation-iterative methods
Published online: 2013-06-21

Abstract


Aggregation-iterative algorithms for linear operator equations are constructed and investigated. These algorithms cover methods of iterative aggregation and projection-iterative methods. In convergence conditions there is neither requirement for the corresponding operator of fixed sign no restriction to the spectral radius to be less than one.

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How to Cite
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Shuvar B., Obshta A., Kopach M. Aggregation-Iterative Analogues and Generalizations of Projection-Iterative Methods. Carpathian Math. Publ. 2013, 5 (1), 156-163.

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