@article{Xia2022, 
author = {Jing Xia},
title = {Note on subdirect sums of    {      i    0    }-Nekrasov matrices},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {617-631},
keywords = {subdirect sum, {i0}-Nekrasov matrices, S-Nekrasov matrices},
url = {https://www.sciopen.com/article/10.3934/math.2022039},
doi = {10.3934/math.2022039},
abstract = {The concept of    k-subdirect sums of matrices, as a generalization of the usual sum and the direct sum, plays an important role in scientific computing. In this paper, we introduce a new subclass of    S-Nekrasov matrices, called    {      i    0    }-Nekrasov matrices, and some sufficient conditions are given which guarantee that the    k-subdirect sum    A      ⨁    k    B is an    {      i    0    }-Nekrasov matrix, where    A is an    {      i    0    }-Nekrasov matrix and    B is a Nekrasov matrix. Numerical examples are reported to illustrate the conditions presented.}
}