LU factorization of the Vandermonde matrix and its applications

LU factorization of the Vandermonde matrix and its applications
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Vandermonde矩阵的LU分解及其应用

DOI:
10.1016/j.aml.2006.10.003
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发表时间:
2007
期刊:
Appl. Math. Lett.
影响因子:
--
通讯作者:
S. Marchi
S. Marchi
中科院分区:
--
文献类型:
--
作者:
S. Marchi

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给出了Vandermonde矩阵逆的下三角因子和上三角因子的缩放形式。介绍了由Vandermonde矩阵在q-整数节点上的因式分解而得到的q-Pascal矩阵的两种应用。
A scaled version of the lower and the upper triangular factors of the inverse of the Vandermonde matrix is given. Two applications of the q-Pascal matrix resulting from the factorization of the Vandermonde matrix at the q-integer nodes are introduced.