School of Mathematics and Statistics
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Browsing School of Mathematics and Statistics by Author "Kivunge, Benard"
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Item Bounds for the Second Largest Eigenvalue of Real 3 × 3 Symmetric Matrices with Entries Symmetric about the Origin(2012) Barini, Geoffrey; Kivunge, Benard; Akanga, JothamLet ASn[a,b] denote a set of all real nxn symmetric matrices with entries in the interval [a,b]. In this article, we present bounds for the second largest eigenvalue λ2(A) of a real symmetric matrix A, such that A∈AS3 [-b,b].Item THE M_0 – MATRIX COMPLETION PROBLEM FOR DIGRAPHS OF 5×5 MATRICES WITH LESS THAN FOUR DIRECTED LINES(2013) Njoroge, James Mwangi; Kivunge, Benard; Muondwe, Samuel Kanyi; Kinyanjui, Anthony MuthonduA 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 directe d 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.