A Proof of the Correctness of an Algorithm Improving the Estimate of the Rate of Convergence of the Seidel Method

A. N. Borzykh

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A Proof of the Correctness of an Algorithm Improving the Estimate of the Rate of Convergence of the Seidel Method

机译：一种算法的正确性证明，提高了SEIDEL方法的收敛速率的估计

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来源
《Vestnik, St. Petersburg University. Mathematics》 |2019年第3期|共9页
作者
A. N. Borzykh;
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作者单位

Aff10000 0001 2289 6897grid.15447.33St. Petersburg State University199034St. PetersburgRussia;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Seidel method; one-step cyclic process; SLAE; system of linear algebraic equations; iterative solving methods; convergence of the Seidel method; estimate of the rate of convergence of the Seidel method.;

机译：Seidel方法;一步循环过程;SLAE;线性代数方程式;迭代求解方法;Seidel方法的收敛性;估计Seidel方法的收敛速率。;

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1. A Proof of the Correctness of an Algorithm Improving the Estimate of the Rate of Convergence of the Seidel Method [J] . A. N. Borzykh Vestnik, St. Petersburg University. Mathematics . 2019,第3期

机译：一种算法的正确性证明，提高了SEIDEL方法的收敛速率的估计
2. Improving an estimate of the convergence rate of the seidel method by selecting the optimal order of equations in the system of linear algebraic equations [J] . Borzykh A. N. Computational mathematics and mathematical physics . 2017,第1期

机译：通过选择线性代数方程中的方程的最佳顺序来改善Seidel方法的收敛速度
3. Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods [J] . Hedy Attouch, Jér?me Bolte, Benar Fux Svaiter Mathematical Programming . 2013,第1a2期

机译：半代数和驯服问题的下降方法的收敛性：近端算法，前向后向拆分和正则化高斯-赛德尔方法
4. To Improve the Convergence and Parallelism of Gauss-Seidel Routing Algorithm with Finite Element Method for Wireless Sensor Networks [C] . Ren-Song Ko International Conference on Ubiquitous and Future Networks . 2018

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5. Efficient predictor/multi-corrector algorithms based on high-order accurate time-discontinuous Galerkin methods for second-order hyperbolic systems. [D] . Kunthong, Prapot. 2005

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6. Correcting the Bias of Wrights Estimates of the Number of Genes Affecting a Quantitative Character: A Further Improved Method [O] . Z. B. Zeng 1992

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7. Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods [O] . Attouch, Hedy, Bolte, Jerome, Svaiter, Benar Fux 2011

机译：半代数和驯服问题的下降方法的收敛性：近端算法，前向后向拆分和正则化高斯-赛德尔方法

A Proof of the Correctness of an Algorithm Improving the Estimate of the Rate of Convergence of the Seidel Method

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