Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (1): 90-94.
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SANG Haifeng, LI Min, LIU Panpan, WANG Chunyan, LUAN Tian
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Abstract: By using the inversefree Newton’s method and the interval algorithm theory, we studied the credibility verification of Z-eigenpairs of symmetric tensors, and proposed an interval algorithm to calculate Z-eigenpairs. The algorithm output an approximate Z-eigenpair and its corresponding error bound, so that an exact Z-eigenpair of symmetric tensors must exist within the error range of the approximate solution.
Key words: symmetric tensor, eigenpairs, credibility verification, Newton’s method
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SANG Haifeng, LI Min, LIU Panpan, WANG Chunyan, LUAN Tian. Credibility Verification of Z-Eigenpairs of SymmetricTensors Based on InverseFree Newton’s Method[J].Journal of Jilin University Science Edition, 2020, 58(1): 90-94.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2020/V58/I1/90
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