Normal Hessenberg and moment matrices
نویسندگان
چکیده
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 ...
متن کاملInverses 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 کاملHessenberg Input Normal Representations
Every stable controllable input pair (Ã , B̃ ) is equivalent to an input pair which is in Hessenberg form and is input normal (AA∗ + BB∗ = I ). (A,B) is represented as a submatrix of the minimal number of Givens rotations. The representation is shown to be generically identifiable. This canonical form allows for fast state vector updates and improved conditioning of system identification problem...
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 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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1973
ISSN: 0024-3795
DOI: 10.1016/0024-3795(73)90005-0