Certain new M-matrices and their properties and applications
<|reference_start|>Certain new M-matrices and their properties and applications: The Mn-matrix was defined by Mohan [20] in which he has shown a method of constructing (1,-1)-matrices and studied some of their properties. The (1,-1)-matrices were constructed and studied by Cohn [5],Wang [33], Ehrlich [8] and Ehrlich and Zeller[9]. But in this paper, while giving some resemblances of this matrix with Hadamard matrix, and by naming it as M-matrix, we show how to construct partially balanced incomplete block (PBIB) designs and some regular bipartite graphs by it. We have considered two types of these M- matrices. Also we will make a mention of certain applications of these M-matrices in signal and communication processing, and network systems and end with some open problems.<|reference_end|>
@article{mohan2006certain,
    title={Certain new M-matrices and their properties and applications},
    author={R.N.Mohan, Sanpei Kageyama, Moon Ho Lee, Gao Yang},
    journal={arXiv preprint arXiv:cs/0604035},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0604035},
    primaryClass={cs.DM}
}