学术报告-黄正海

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2018-05-17 11:31:00

学术报告

题      目:Properties of the Nonnegative Solution Set of Multi-linear Equations

报  告  人:黄正海 教授  (邀请人:李董辉)

                            天津大学


时      间:2018-05-17 10:30--11:30

地      点:学院401

报告人简介:

       博士生导师,优化专家,中国运筹学会常务理事。在优化算法和张量理论与算法方面成果突出。


摘      要:

      Multi-linear equations and tensor complementarity problems are two hot topics in recent years. It is known that the nonnegative solution set of multi-linear equations is a subset of the solution set of the corresponding tensor complementarity problem. We first investigate the existence and uniqueness of nonnegative (positive) solution to multi-linear equations induced by some triangular tensors; and then, we discuss the non-existence of nonnegative solution to multi-linear equations induced by B (B0) tensors or strictly diagonally dominant tensors. In addition, we also investigate the boundedness of the nonnegative solution set of multi-linear equations with some structured tensors. The obtained properties of the nonnegative solution set of multi-linear equations give some characteristics on the solution set of tensor complementarity problems.