Hessenberg L-matrices
نویسندگان
چکیده
منابع مشابه
Inverses of regular Hessenberg matrices
A new proof of the general representation for the entries of the inverse of any unreduced Hessenberg matrix of finite order is found. Also this formulation is extended to the inverses of reduced Hessenberg matrices. Those entries are given with proper Hessenbergians from the original matrix. It justifies both the use of linear recurrences for such computations and some elementary properties of ...
متن کاملPermanents of Hessenberg (0, 1)-matrices
Let P (m,n) denote the maximum permanent of an n-by-n lower Hessenberg (0, 1)-matrix with m entries equal to 1. A “staircased” structure for some matrices achieving this maximum is obtained, and recursive formulas for computing P (m,n) are given. This structure and results about permanents are used to determine the exact values of P (m,n) for n ≤ m ≤ 8n/3 and for all nnz(Hn) − nnz(Hbn/2c) ≤ m ≤...
متن کاملDeterminants 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 ...
متن کاملPermanents of Hessenberg (0,1)-matrices revisited
∗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...
متن کاملSimilarity of perturbations of Hessenberg matrices
To every infinite lower Hessenberg matrix D is associated a linear operator on l2. In this paper we prove the similarity of the operator D − ∆, where ∆ belongs to a certain class of compact operators, to the operator D−∆′, where ∆′ is of rank one. We first consider the case when ∆ is lower triangular and has finite rank; then we extend this to ∆ of infinite rank assuming that D is bounded. In S...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1992
ISSN: 0024-3795
DOI: 10.1016/0024-3795(92)90361-d