H-张量的新判定

Some new criteria for the H-tensor

目的给定一个m阶n维张量,判定该张量是否为H-张量。方法运用H-张量的定义及张量的不等式放缩技巧。结果给出了H-张量的一组新的判别方法。结论这些判定方法仅依赖于所给张量的元素,在判定H-张量时更方便。

Purposes—To give a tensor with order m and dimension n,and to determine whether it is an H-tensor.Methods—The definition of the H-tensor and the inequality scaling technique of the tensor are used to achieve aforesaid purposes.Result—Some new criteria for H-tensor are given.Conclusion—These new criteria only depend on the elements of the given tensor,which is more convenient to identify the H-tensor.