An identity between the determinant and the permanent of Hessenberg-type matrices

被引：14
|
作者：
da Fonseca, Carlos Martins [1 ]
机构：
[1] Univ Coimbra, Dept Math, P-3001454 Coimbra, Portugal
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2011年 / 61卷 / 04期
关键词：
determinant; permanent; Hessenberg matrices; graphs; trees; CONVERSION;
D O I：
10.1007/s10587-011-0059-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this short note we provide an extension of the notion of Hessenberg matrix and observe an identity between the determinant and the permanent of such matrices. The celebrated identity due to Gibson involving Hessenberg matrices is consequently generalized.
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页码：917 / 921
页数：5
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