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A Survey on the Permanent of Tensors

Speaker

Fuzhen Zhang, Nova Southeastern University, Florida, USA

Time

2017.11.10 15:00-16:00

Venue

Large Conference Room, Math Building

Abstract

By a tensor we mean a multi-dimensional array (or hypermatrix) of real numbers. Determinant and permanent are primary and important functions of n x n matrices. Hyperdeterminant is known. What is a hyperpermanent? This talk will provide a detailed account of the permanent of tensors. We will survey the definitions of permanents (i.e., 1-per, 2-per, and k-per) by means of hyperplanes as well as their properties.