|本期目录/Table of Contents|

[1]许晓玲,王 滕*.循环张量的一种逆[J].厦门大学学报(自然科学版),2017,56(04):546-550.[doi:10.6043/j.issn.0438-0479.201608007]
 XU Xiaoling,WANG Teng*.The Inverse of Loop Tensors[J].Journal of Xiamen University(Natural Science),2017,56(04):546-550.[doi:10.6043/j.issn.0438-0479.201608007]
点击复制

循环张量的一种逆(PDF/HTML)
分享到:

《厦门大学学报(自然科学版)》[ISSN:0438-0479/CN:35-1070/N]

卷:
56卷
期数:
2017年04期
页码:
546-550
栏目:
研究论文
出版日期:
2017-07-26

文章信息/Info

Title:
The Inverse of Loop Tensors
文章编号:
0438-0479(2017)04-0546-05
作者:
许晓玲1王 滕2*
1.闽江学院数学系,福建 福州 350108; 2.厦门大学数学科学学院,福建 厦门 361005
Author(s):
XU Xiaoling1 WANG Teng2*
1.Department of Mathmatics,Minjiang University,Fuzhou 350108,China; 2.School of Mathmatical Sciences,Xiamen University,Xiamen 361005,China
关键词:
循环张量 张量逆 张量
Keywords:
loop tensor inverse tensor tensor
分类号:
O 24
DOI:
10.6043/j.issn.0438-0479.201608007
文献标志码:
A
摘要:
根据一种张量乘积、循环张量以及张量左右逆的基本定义和性质,给出可求逆的循环张量应该具有的结构特点以及相应逆的性质.通过一些例子给出了详细的求解循环张量逆的过程.
Abstract:
Basic definitions and characteristics of tensor products,loop tensors,and tensors of the inverse were introduced.The character of the structure and the inverse of the loop tensor,whose inverse could be solved,were provided.The solution procedure for the inverse of loop tensor was described along with some examples.

参考文献/References:

[1] COX D,LITTLE J,O’SHEA D.Using algebraic geometry[M].New York:Springer,1998:1-572.
[2] GELFAND I,KAPRANOV M,ZELEVINSKY A.Discriminants,resultants and multidimensional determinants[M].Boston:Birkh?user,1994:1189-1214.
[3] LIM L H.Tensors and hypermatrices[M]∥Handbook of Linear Algebra.Boca Raton,FL:CRC Press,2013:1-30.
[4] BU C J,ZHANG X,ZHOU J,et al.The inverse,rank and product of tensors[J].Linear Algebra and Its Applications,2014,446:269-280.
[5] CHEN Z M,QI L Q.Circulant tensors:native eigenvalues and symmetrization[EB/OL].[2014-06-05].https:∥arxiv.org/abs/1312.2752v6.
[6] HU S L,HUANG Z H,LING C,et al.On determinants and eigenvalue theory of tensors[J].Journal of Symbolic Computation,2013,50:508-531.
[7] SHAO J Y.A general product of tensors with applications[J].Linear Algebra Appl,2013,439:2350-2366.

备注/Memo

备注/Memo:
收稿日期:2016-08-19 录用日期:2017-04-04
*通信作者:spring0920@163.com
更新日期/Last Update: 1900-01-01