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Volume 8, Issue 4
Incomplete Semiiterative Methods for Solving Operator Equations in Banach Space

Jiao-Xun Kuang

J. Comp. Math., 8 (1990), pp. 333-341.

Published online: 1990-08

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  • Abstract

There are several methods for solving operator equations in a Banach space. The successive approximation methods require the spectral radius of the iterative operator be less that 1 for convergence.
In this paper, we try to use the incomplete semiiterative methods to solve a linear operator equation in Banach space. Usually the special semiiterative methods are convergent even when the spectral radius of the iterative operator of an operator of an operator equation is greater than 1.  

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@Article{JCM-8-333, author = {Kuang , Jiao-Xun}, title = {Incomplete Semiiterative Methods for Solving Operator Equations in Banach Space}, journal = {Journal of Computational Mathematics}, year = {1990}, volume = {8}, number = {4}, pages = {333--341}, abstract = {

There are several methods for solving operator equations in a Banach space. The successive approximation methods require the spectral radius of the iterative operator be less that 1 for convergence.
In this paper, we try to use the incomplete semiiterative methods to solve a linear operator equation in Banach space. Usually the special semiiterative methods are convergent even when the spectral radius of the iterative operator of an operator of an operator equation is greater than 1.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9445.html} }
TY - JOUR T1 - Incomplete Semiiterative Methods for Solving Operator Equations in Banach Space AU - Kuang , Jiao-Xun JO - Journal of Computational Mathematics VL - 4 SP - 333 EP - 341 PY - 1990 DA - 1990/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9445.html KW - AB -

There are several methods for solving operator equations in a Banach space. The successive approximation methods require the spectral radius of the iterative operator be less that 1 for convergence.
In this paper, we try to use the incomplete semiiterative methods to solve a linear operator equation in Banach space. Usually the special semiiterative methods are convergent even when the spectral radius of the iterative operator of an operator of an operator equation is greater than 1.  

Kuang , Jiao-Xun. (1990). Incomplete Semiiterative Methods for Solving Operator Equations in Banach Space. Journal of Computational Mathematics. 8 (4). 333-341. doi:
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