科技报告详细信息
Orthogonal tensor decompositions | |
Kolda, Tamara G. | |
Sandia National Laboratories | |
关键词: Orthogonal Transformations; Tensors; Matrices; Mathematics; 99 General And Miscellaneous//Mathematics, Computing, And Information Science; | |
DOI : 10.2172/755101 RP-ID : SAND2000-8566 RP-ID : AC04-94AL85000 RP-ID : 755101 |
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美国|英语 | |
来源: UNT Digital Library | |
【 摘 要 】
The authors explore the orthogonal decomposition of tensors (also known as multi-dimensional arrays or n-way arrays) using two different definitions of orthogonality. They present numerous examples to illustrate the difficulties in understanding such decompositions. They conclude with a counterexample to a tensor extension of the Eckart-Young SVD approximation theorem by Leibovici and Sabatier [Linear Algebra Appl. 269(1998):307--329].
【 预 览 】
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755101.pdf | 843KB | download |