Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/120120
題名: | On a special generalized Vandermonde matrix and its $LU$ factorization | 作者: | 李宣助 Li, Hsuan-Chu 陳永秋 Tan, Eng-Tjioe |
貢獻者: | 應數系 | 日期: | Oct-2008 | 上傳時間: | 25-Sep-2018 | 摘要: | We consider a special class of the generalized Vandermonde matrices and obtain an $LU$ factorization for its members 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 a closed-form formula for the inverse of the matrix considered. | 關聯: | Taiwanese Journal of Mathematics, Volume 12, Number 7, 1651-1666 AMS MathSciNet:MR2449654 |
資料類型: | article |
Appears in Collections: | 期刊論文 |
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1500405077.pdf | 185.17 kB | Adobe PDF2 | View/Open |
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