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三对角方程组通用性迭代解法 被引量:1

General Iteration Algorithm to Solve Tridiagonal Equations
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摘要 在行处理法的基础上,提出一种求解三对角方程组的通用性迭代解法,用几何法证明了该算法的正确性,并讨论了该算法的内在并行性。最后,给出了一个测试用例。该算法的优点是:对任意相容性三对角方程组均收敛,易于并行实现。 A general iteration algorithm to solve a tridiagonal equation is proposed based on the row action method. Its validity is proved by geometrical approach, and its intrinsic parallelism is discussed. The advantage of this algorithm is that the algorithm is convergence to solve arbitrary consistent txidiagonal equations and is easy to realize.
出处 《教学与科技》 2010年第4期33-37,共5页 Teaching and Science Technology
关键词 三对角方程组 通用性 行处理并行迭代算法 tridiagonal equations general: row action method
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同被引文献12

  • 1Adduci, J, Djakov P and Mityagin B. Convergence radii for eigenvalues of tri-diagonal matrices Letters in Mathematical Physics,2010, 9(1):1-14.
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  • 6王福军.计算流体动力学分析.清华大学出版社,2005.
  • 7陶文铨.数值传热学(第二版).西安交通大学出版社,2011.
  • 8程云鹏,张凯院.矩阵论(第3版).西北工业大学出版社,2010.
  • 9王礼广,蔡放,熊岳山.五对角线性方程组追赶法[J].南华大学学报(自然科学版),2008,22(1):1-4. 被引量:14
  • 10李文强,马民.求解循环三对角方程组的追赶法[J].科技导报,2009,27(14):69-72. 被引量:13

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