THE M_0 – MATRIX COMPLETION PROBLEM FOR DIGRAPHS OF 5×5 MATRICES WITH LESS THAN FOUR DIRECTED LINES

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Published Dec 2, 2013
Njoroge James Mwangi,Kivunge Benard, Muondwe Samuel Kanyi, Kinyanjui Anthony muthondu

Abstract

A real  matrix is said to be –matrix if its principal minors are non-negative and all its non-diagonal entries are non-positive. In this project, we consider the –matrix completion problem. It is shown that any digraph with less than four directed lines which is not a cycle has –completion. It is further shown that digraph of  matrix with less than four directed lines which is a cycle does not have –completion.

AMS Subject Classification: 0070

How to Cite

THE M_0 – MATRIX COMPLETION PROBLEM FOR DIGRAPHS OF 5×5 MATRICES WITH LESS THAN FOUR DIRECTED LINES. (2013). Asian Journal of Current Engineering and Maths, 2(6). https://informaciontechnologica.com/index.php/ajcem/article/view/546
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How to Cite

THE M_0 – MATRIX COMPLETION PROBLEM FOR DIGRAPHS OF 5×5 MATRICES WITH LESS THAN FOUR DIRECTED LINES. (2013). Asian Journal of Current Engineering and Maths, 2(6). https://informaciontechnologica.com/index.php/ajcem/article/view/546