Determinants and permanents of Hessenberg matrices and generalized Lucas polynomials
نویسندگان
چکیده مقاله:
In this paper, we give some determinantal and permanental representations of generalized Lucas polynomials, which are a general form of generalized bivariate Lucas p-polynomials, ordinary Lucas and Perrin sequences etc., by using various Hessenberg matrices. In addition, we show that determinant and permanent of these Hessenberg matrices can be obtained by using combinations. Then we show, the conditions under which the determinants of the Hessenberg matrix become its permanents.
منابع مشابه
determinants and permanents of hessenberg matrices and generalized lucas polynomials
in this paper, we give some determinantal and permanental representations of generalized lucas polynomials, which are a general form of generalized bivariate lucas p-polynomials, ordinary lucas and perrin sequences etc., by using various hessenberg matrices. in addition, we show that determinant and permanent of these hessenberg matrices can be obtained by using combinations. then we show, the ...
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∗Received by the editors January 7, 2008. Accepted for publication on January 13, 2010. Handling Editor: Shmuel Friedland. †Department of Mathematics & Statistics, California State Polytechnic University, Pomona, Pomona, California 91768, USA ([email protected]). ‡Department of Mathematics, University of Wyoming, Laramie, Wyoming 82071, USA ([email protected]). Electronic Journal of Linea...
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عنوان ژورنال
دوره 39 شماره 6
صفحات 1065- 1078
تاریخ انتشار 2013-12-15
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