On intervals and sets of hypermatrices(tensors)

作     者：Saeed RAHMATI Mohamed A.TAWHID Saeed RAHMATI;Mohamed A.TAWHID

作者机构：Department of Mathematics and StatisticsFaculty of ScienceThompson Rivers UniversityKamloopsBC V2C 0C8Canada 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2020年第15卷第6期

页      面：1175-1188页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The research of the second author was supported by the Natural Sciences and Engineering Research Council of Canada 

主　　题：Tensor hypermatrix interval hypermatrix hypermatrix set slice-P-property 

摘      要：Interval hypermatrices(tensors)ape introduced and interval α-hypermatrices are uniformly characterized using a finite set of extreme hypermatrices,where α can be strong P,semi-positive,or positive definite,among many *** is shown that a symmetric interval is an interval(strictly)copositive-hypermatrix if and only if it is an interval(E)*** is also shown that an even-order,symmetric interval is an interval positive(semi-)definite-hypermatrix if and only if it is an interval P(P_(0))-*** hypermnatrices are generalized to sets of hyper-matrices,several slice-properties of a set of hypermatrices are introduced and sets of hypermatrices with various slice-properties are uniformly *** a consequence,several slice-properties of a compact,convex set of hyper-matrices are characterized by its extreme points.