نتایج جستجو برای: confluent vandermonde type systems

تعداد نتایج: 2422853  

1998
Rachid Echahed Jean-Christophe Janodet

We investigate the rewrite relation over graphs induced by constructor-based weakly orthogonal graph rewriting systems. It is well known that this relation is not confluent in general whereas it is confluent in the case of weakly orthogonal term rewriting systems. We show, however, that the considered relation is always confluent, as well as confluent modulo bisimilarity, for a large class of g...

2005
Ren-Cang Li

For n × n Vandermonde matrix Vn = (αi−1 j )1≤i j≤n with translated Chebyshev zero nodes, it is discovered that V T n admits an explicit QR decomposition with the R-factor consisting of the coefficients of the translated Chebyshev polynomials of degree less than n. This decomposition then leads to an exact expression for the condition number of its submatrix Vk,n = (αi−1 j )1≤i≤k,1≤j≤n (so-calle...

Journal: :SIAM J. Matrix Analysis Applications 2009
Tom Bella Yuli Eidelman Israel Gohberg Israel Koltracht Vadim Olshevsky

In this paper we derive a fast O(n) algorithm for solving linear systems where the coefficient matrix is a polynomial-Vandermonde matrix VR(x) = [rj−1(xi)] with polynomials {rk(x)} related to a Hessenberg quasiseparable matrix. The result generalizes the well-known Björck-Pereyra algorithm for classical Vandermonde systems involving monomials. It also generalizes the algorithms of [RO91] for VR...

Journal: :Applied Mathematics and Computer Science 2008
Jerzy S. Respondek

The objective of the article is to obtain general conditions for several types of controllability at once for an abstract differential equation of arbitrary order, instead of conditions for a fixed order equation. This innovative approach was possible owing to analyzing the n-th order linear system in the Frobenius form which generates a Jordan transition matrix of the Vandermonde form. We exte...

Journal: :Proceedings of the Japan Academy, Series A, Mathematical Sciences 1994

Journal: :Computación y Sistemas 1999
José R. Arrazola Ramírez Jürgen Dix Mauricio Osorio

Non-profit academic project, developed under the open access initiative

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