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ALGORITHM AND CONVERGENCE OF TWO-STAGE ITERATIVE PROCEDURE FOR SOLVING SYSTEMS OF LINEAR EQUATIONS


Chen Xiangming

DOI:10.11835/j.issn.1674-4764.1990.04.003

Received ,Revised , Accepted , Available online July 01, 2015

Volume ,1990,Pages -

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  • Abstract
This papr discusses algorithm and convergence of twostage iteratve procedure for solving systems of symmetric positive definite linear equation Ax=b. On the basis of nature splitting of A, this algorithm makes two-step linear iterative procedure (named outer iteration) and makes convergent inner iteraton of any kind.They generate a sequence of approximations {x_h} w.hich converges to the solution Ax=b quickly. This paper also proves is convergene and gives the estimation of error.