An error bound for the USAOR method

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摘要

Suppose Ax=b is a system of linear equations where the matrix A is symmetric positive definite and consistently ordered. A bound for the norm of the error ɛk=x-xkɛ of the USAOR method in terms of the norms of δk=xk-xk-1 and δk+1=xk+1-xk and their inner product are derived.

论文关键词:65F10,65F15,Linear systems,USAOR method,Error

论文评审过程:Received 6 January 2005, Revised 28 February 2006, Available online 12 July 2006.

论文官网地址:https://doi.org/10.1016/j.cam.2006.05.017