论文标题
$ p $ tensor的子类的必要和足够条件
Necessary and sufficient conditions for a subclass of $P$-tensor
论文作者
论文摘要
在本文中，我们在张量互补问题的背景下介绍了$ b $ -nekrasov张量。我们研究了一些张量理论特性。我们表明，B-Nekrasov张量的类别包含Nekrasov $ z $ -Tensor的类，带有正对角条目。我们为$ b $ -nekrasov张量提供了必要且充分的条件。我们表明，$ p $ -tensor的类包含$ b $ -nekrasov张量的类。 关键字：张量互补问题，$ P $ -TENSORS，Nekrasov Tensors，Nekrasov $ Z $ -Tensor，$ b $ -Nekrasov Tensors，非单调的$ H $ H $ -TENSOR，对斜量很大。
In this article, we introduce the class $B$-Nekrasov tensor in the context of tensor complementarity problem. We study some tensor theoretic properties. We show that the class of B-Nekrasov tensor contains the class of Nekrasov $Z$-tensor with positive diagonal entries. We present a necessary and sufficient condition for a $B$-Nekrasov tensor. We show that the class of $P$-tensor contains the class of $B$-Nekrasov tensor. Keywords: Tensor complementarity problem, $P$-tensors, Nekrasov tensors, Nekrasov $Z$-tensor, $B$-Nekrasov tensors, Nonsingular $H$-tensor, Diagonally dominant tensor.
