@Article{NMTMA-14-176,
author = {Mo , Changxin and Wei , Yimin},
title = {On Nonnegative Solution of Multi-Linear System with Strong $\mathcal{M}_z$-Tensors},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2020},
volume = {14},
number = {1},
pages = {176--193},
abstract = {<p style="text-align: justify;">A class of structured multi-linear system defined by strong $\mathcal{M}_z$-tensors is
considered. We prove that the multi-linear system with strong $\mathcal{M}_z$-tensors always
has a nonnegative solution under certain condition by the fixed point theory. We also
prove that the zero solution is the only solution of the homogeneous multi-linear
system for some structured tensors, such as strong $\mathcal{M}$-tensors, $\mathcal{H}^+$-tensors, strictly
diagonally dominant tensors with positive diagonal elements. Numerical examples
are presented to illustrate our theoretical results.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2020-0080},
url = {http://global-sci.org/intro/article_detail/nmtma/18331.html}
}