论文标题
用于张量互补性问题的新误差的计算P张量
Computation of a new error bound for tensor complementarity problem with P tensor
论文作者
论文摘要
我们提出了一个新的错误，以解决张量互补问题的解决方案TCP $（q，\ Mathcal {a}）$，给定$ \ MATHCAL {a} $是$ p $ -tensor，$ q $是真实的向量。我们表明，提出的错误绑定比文献中可用的错误绑定的早期版本更明确。我们为TCP $（Q，\ Mathcal {a}）$建立了绝对和相对错误，其中$ \ Mathcal {a} $是一个均匀订购的正对角线张量。 关键字：张量互补问题，$ p $ -tensor，全局错误绑定，正均匀运算符。
We propose a new error bound for the solution of tensor complementarity problem TCP$(q, \mathcal{A})$ given that $\mathcal{A}$ is a $P$-tensor and $q$ is a real vector. We show that the proposed error bound is sharper than the earlier version of error bound available in the literature. We establish absolute and relative error bound for TCP$(q, \mathcal{A})$ where $\mathcal{A}$ is an even order positive diagonal tensor. Keywords: Tensor complementarity problem, $P$-tensor, global error bound, positively homogeneous operator.
