| 计算张量特征对的瑞利商迭代法 |
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| 引用本文： | 梁浩,张向韵.计算张量特征对的瑞利商迭代法[J].高等学校计算数学学报,2021,43(3):292-306. |
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| 作者姓名： | 梁浩 张向韵 |
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| 作者单位： | 数学科学学院,上海市核心数学与实践重点实验室,华东师范大学,上海200241 |
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| 摘 要： |
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RAYLEIGH QUOTIENT ITERATION FOR COMPUTING TENSOR EIGENPAIRS |
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| Liang Hao,Zhang Xiangyun.RAYLEIGH QUOTIENT ITERATION FOR COMPUTING TENSOR EIGENPAIRS[J].Numerical Mathematics A Journal of Chinese Universities,2021,43(3):292-306. |
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| Authors: | Liang Hao Zhang Xiangyun |
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| Abstract: | In this paper,we propose a Rayleigh quotient iteration method (RQI)to calculate the Z-eigenpairs of the symmetric tensor,which can be viewed as a generalization of shifted symmetric higher-order power method (SS-HOPM).The convergence analysis and the fixed-point analysis of this algorithm are given.Nu-merical examples show that RQI needs fewer iterations than SS-HOPM while keep the amount of computation per iteration. |
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| Keywords: | tensor eigenvalues symmetric tensor Rayleigh quotient iteration(RQI) SS-HOPM |
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