Constant Step Length in Richardson Iterative Method

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Constant Step Length in Richardson Iterative Method

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[1]DONG Yunda,YOU Yanfei.Constant Step Length in Richardson Iterative Method[J].Journal of Zhengzhou University (Engineering Science),2009,30(03):139-140.

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Journal of Zhengzhou University (Engineering Science)[ISSN 1671-6833/CN 41-1339/T] Volume: 30卷 Number of periods: 2009年03期 Page number: 139-140 Column: Public date: 1900-01-01

Title:: Constant Step Length in Richardson Iterative Method

Author(s):: DONG Yunda; YOU Yanfei; (I．Department of Mathematics，Zhengzhou University，Zhengzhou 450001，China；2．Department of Mathematics，Nanjing University，Nanjing 210093，China

Keywords:: systems of positive definite linear equations; Richardson iterative method; step size; Convergence

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Abstract:: Richardson iterative method for solving system of linear equations with the positive definite coeffi—cient matrix is considered，and a new constant step length rule only depending on the minimal diagonal elementand the maximum eigenvalue is proposed．Furthermore，the linear convergence of the generated gradient normsto zero is proved．Preliminary numerical tests show that the new rule is competitive for certain problems．

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Last Update: 1900-01-01