منابع مشابه
The Generalized Vandermonde Matrix
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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...
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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 کاملOn the LU factorization of the Vandermonde matrix
In this paper, the author gives a simpler alternative approach to the LU factorization and 1-banded factorization of the Vandermondematrix, and obtains explicit formulas of the triangular factors and 1-bandedmatrices by using symmetric functions. © 2004 Elsevier B.V. All rights reserved.
متن کاملThe sloppy model universality class and the Vandermonde matrix
Joshua J. Waterfall, Fergal P. Casey, Ryan N. Gutenkunst, Kevin S. Brown, Christopher R. Myers, Piet W. Brouwer, Veit Elser, James P. Sethna 1 Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, NY 14853, USA 2 Center for Applied Mathematics, Cornell University, Ithaca, NY 14853, USA 3 Department of Molecular and Cellular Biology, Harvard University, Cambridge, MA 02138, U...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2000
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(00)00186-5