Explicit factorization of the Vandermonde matrix

被引：51
|
作者：
Oruç, H
Phillips, GM
机构：
[1] Dokuz Eylul Univ, Fen Edebiyat Fak, Matemat Bolumil, TR-35160 Izmir, Turkey
[2] Univ St Andrews, Inst Math, St Andrews KY16 9SS, Fife, Scotland
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2000年 / 315卷 / 1-3期
关键词：
Vandermonde matrix; symmetric function; triangular and l-banded factorization;
D O I：
10.1016/S0024-3795(00)00124-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The LU factorization of the Vandermonde matrix is obtained, using complete symmetric functions, and the lower and upper triangular matrices are, in turn, factorized into 1-banded matrices, thus expressing the Vandermonde matrix as a product of 1-banded matrices. (C) 2000 Elsevier Science Inc. All rights reserved.
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页码：113 / 123
页数：11
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