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Volume 1, Issue 1
New Estimates for the Rate of Convergence of the Method of Subspace Corrections

Durkbin Cho, Jinchao Xu & Ludmil Zikatanov

Numer. Math. Theor. Meth. Appl., 1 (2008), pp. 44-56.

Published online: 2008-01

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  • Abstract

We discuss estimates for the rate of convergence of the method of successive subspace corrections in terms of condition number estimate for the method of parallel subspace corrections. We provide upper bounds and in a special case, a lower bound for preconditioners defined via the method of successive subspace corrections.

  • Keywords

Method of subspace corrections, preconditioning convergence rate of linear iterative method.

  • AMS Subject Headings

65F10, 65J05, 65N12, 65N55

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-1-44, author = {Durkbin Cho, Jinchao Xu and Ludmil Zikatanov}, title = {New Estimates for the Rate of Convergence of the Method of Subspace Corrections}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2008}, volume = {1}, number = {1}, pages = {44--56}, abstract = {

We discuss estimates for the rate of convergence of the method of successive subspace corrections in terms of condition number estimate for the method of parallel subspace corrections. We provide upper bounds and in a special case, a lower bound for preconditioners defined via the method of successive subspace corrections.

}, issn = {2079-7338}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nmtma/6041.html} }
TY - JOUR T1 - New Estimates for the Rate of Convergence of the Method of Subspace Corrections AU - Durkbin Cho, Jinchao Xu & Ludmil Zikatanov JO - Numerical Mathematics: Theory, Methods and Applications VL - 1 SP - 44 EP - 56 PY - 2008 DA - 2008/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nmtma/6041.html KW - Method of subspace corrections, preconditioning convergence rate of linear iterative method. AB -

We discuss estimates for the rate of convergence of the method of successive subspace corrections in terms of condition number estimate for the method of parallel subspace corrections. We provide upper bounds and in a special case, a lower bound for preconditioners defined via the method of successive subspace corrections.

Durkbin Cho, Jinchao Xu and Ludmil Zikatanov. (2008). New Estimates for the Rate of Convergence of the Method of Subspace Corrections. Numerical Mathematics: Theory, Methods and Applications. 1 (1). 44-56. doi:
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