Numerical multilinear algebra and its applications
Numerical multilinear algebra and its applications
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DOI：
10.1007/s11464-007-0031-4
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发表时间：
2007-12
影响因子：
--
通讯作者：
L. Qi;Wenyu Sun;Yiju Wang
中科院分区：
文献类型：
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作者：
L. Qi;Wenyu Sun;Yiju Wang
数值多线性代数（又称张量计算）是计算数学的一个新的分支，它从数值的角度考虑高阶张量而不是矩阵和向量。虽然它是数值线性代数的推广，但它与数值线性代数有许多本质的区别，也比数值线性代数有更多的困难，本文对这方面的知识现状作了一个不完全的综述，并指出了进一步研究的一些新趋势。我们的调查还包括一个详细的参考书目作为其重要组成部分。我们希望这一新的领域能够得到更多学者的关注。
Numerical multilinear algebra (or called tensor computation), in which instead of matrices and vectors the higher-order tensors are considered in numerical viewpoint, is a new branch of computational mathematics. Although it is an extension of numerical linear algebra, it has many essential differences from numerical linear algebra and more difficulties than it. In this paper, we present a survey on the state of the art knowledge on this topic, which is incomplete, and indicate some new trends for further research. Our survey also contains a detailed bibliography as its important part. We hope that this new area will be receiving more attention of more scholars.