| 求解非Hermitian阵主特征对的直接迭代法 |
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| 引用本文： | 陈陆平. 求解非Hermitian阵主特征对的直接迭代法[J]. 大连理工大学学报, 1994, 0(5) |
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| 作者姓名： | 陈陆平 |
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| 作者单位： | 工程力学研究所 |
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| 摘 要： | 在钱令希等提出的动态系统降维的直接迭代法的基础上，构造了一种直接求解非Ｈｅｒｍｉｔｉａｎ阵主特征对的直接迭代方法。它与以往的同时迭代法的不同之处在于充分利用了不变子空间可以用来对原矩阵进行广义相似变换以求得映射矩阵的性质，使迭代中不需产生特殊的不变子空间。并且可以不用正交化和加速过程，大大提高了计算效率．
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| 关 键 词： | 特征值，迭代法／非Hermitian阵，主特征对，不变子空间，直接迭代法 |
Direct iteration method for solving dominant eigenpairs of non-Hermitian matrix |
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| Chen Luping. Direct iteration method for solving dominant eigenpairs of non-Hermitian matrix[J]. Journal of Dalian University of Technology, 1994, 0(5) |
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| Authors: | Chen Luping |
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| Abstract: | A direct iteration algorithm for solving the dominant eigenpairs of non-Hermitian ispresented based on a direct iterative methed for medel reducing of dynamic system put forwardby Qian Lingxi and others. Its difference from other methods is that the generalized similaritytranforming is used to get mapping matrix ,and it needn' t make the invariant subspace in specialform in iteration and doesn' t need the orthonormalizing and accelerating procedures,so it hashigher computing efficiency. |
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| Keywords: | characteristic values iteration metheds/non-Hermitian matrix dominant eigenpairs invariant subspace direct iteration |
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