Abstract
Under study is the family of iterative projection methods that stems from the work of Kaczmarz in 1937. We propose some alternating block algorithms of Kaczmarz type in Krylov subspaces with a relaxation parameter and acceleration in Krylov spaces. The results are presented and discussed of numerical experiments for some model problems.
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Original Russian Text © V.P. Il’in, 2006, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2006, Vol. IX, No. 3(27), pp. 39–49.
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Il’in, V.P. On the Kaczmarz iterative method and its generalizations. J. Appl. Ind. Math. 2, 357–366 (2008). https://doi.org/10.1134/S199047890803006X
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DOI: https://doi.org/10.1134/S199047890803006X