منابع مشابه
The Generalized Vandermonde Matrix
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متن کاملVandermonde Factorization of a Hankel Matrix ?
We show that an arbitrary Hankel matrix of a nite rank admits a Vandermonde decomposition: H = V T DV , where V is a con-uent Vandermonde matrix and D is a block diagonal matrix. This result was rst derived by Vandevoorde; our contribution here is a presentation that uses only linear algebra, speciically, the Jordan canonical form. We discuss the choices for computing this decomposition in only...
متن کاملA General Vandermonde Factorization of a Hankel Matrix ?
It is shown that an innnite Hankel matrix of a nite rank (or a nite Hankel matrix) admits a generalized Vandermonde decomposition H = V T DV , where V is a generalized Vandermonde matrix, and D is a block diagonal matrix. The full structure of this decomposition was rst fully discussed by Vandevoorde 9], but the development here is based solely on linear algebra considerations, speciically the ...
متن کاملOn the inversion of the Vandermonde matrix
The inversion of the Vandermonde matrix has received much attention for its role in the solution of some problems of numerical analysis and control theory. This work deals with the problem of getting an explicit formula for the generic element of the inverse. We derive two algorithms in O(n) and O(n) and compare them with the Parker–Traub and the Björck–Pereyra algorithms. 2005 Elsevier Inc. Al...
متن کاملOn a Special Generalized Vandermonde Matrix and Its Lu Factorization
We consider a special class of the generalized Vandermonde matrices and obtain an LU factorization for its member by giving closed-form formulae of the entries of L and U . Moreover, we express the matrices L and U as products of 1-banded (bidiagonal) matrices. Our result is applied to give the closed-form formula of the inverse of the considered matrix.
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ژورنال
عنوان ژورنال: ITM Web of Conferences
سال: 2019
ISSN: 2271-2097
DOI: 10.1051/itmconf/20192401008