65 research outputs found
Hessenberg matrices and the Pell and Perrin numbers
AbstractIn this paper, we investigate the Pell sequence and the Perrin sequence and we derive some relationships between these sequences and permanents and determinants of one type of Hessenberg matrices
An inequality for permanent of (0, 1)-matrices
AbstractLet A be an n-square (0, 1)-matrix, let ri denote the i-th row sum of A, i=1, …, n, and let per (A) denote the permanent of A. Then per(A)≤∏i=1nri+21+2 where equality can occur if and only if there exist permutation matrices P and Q such that PAQ is a direct sum of 1-square and 2-square matrices all of whose entries are 1
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