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The permanent functions of tensors
- Source :
- Special Issue of Acta Mathematica Vietnamica (Springer, Article 268) for ICMAA, 2018
- Publication Year :
- 2018
-
Abstract
- By a tensor we mean a multidimensional array (matrix) or hypermatrix over a number field. This article aims to set an account of the studies on the permanent functions of tensors. We formulate the definitions of 1-permanent, 2-permanent, and $k$-permanent of a tensor in terms of hyperplanes, planes and $k$-planes of the tensor; we discuss the polytopes of stochastic tensors; at end we present an extension of the generalized matrix function for tensors.<br />Comment: 6th International Conference on Matrix Analysis and Applications (ICMAA), Da Nang, Vietnam, June 14-18, 2017
- Subjects :
- Mathematics - Combinatorics
Mathematics - Functional Analysis
15A15, 15A02, 52B12
Subjects
Details
- Database :
- arXiv
- Journal :
- Special Issue of Acta Mathematica Vietnamica (Springer, Article 268) for ICMAA, 2018
- Publication Type :
- Report
- Accession number :
- edsarx.1806.00002
- Document Type :
- Working Paper