Browsing by Author "Kivunge, Benard M"

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    The nonnegative P 0 -matrix completion problem.
    (2003) Choi, Ji Young; Dealba, Luz Maria; Hogben, Leslie; Kivunge, Benard M; Nordstrom, Sandra K; Shedenhelm, Mike
    In this paperthe nonnegative P 0 -matrix completion problem is considered. It is shown that a pattern for 4 × 4 matrices that includes all diagonal positions has nonnegative P 0 - completion if and only if its digraph is complete when it has a 4-cycle. It is also shown that any positionally symmetric pattern that includes all diagonal positions and whose graph is an n -cycle has nonnegative P 0 -completion if and only if n =4.
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    Subloops of sedenions
    (2004) Kivunge, Benard M; Smith, Jonathan D. H
    This note investigates sedenion multiplication from the st andpoint of loop the- ory. New two-sided loops are obtained within the version of t he sedenions introduced by the second author. Conditions are given for the satisfactio n of standard loop-theoretical identities within these loops.