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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 2008-10
上傳時間 25-Sep-2018 16:20:03 (UTC+8)
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
dc.contributor 應數系
dc.creator (作者) 李宣助
dc.creator (作者) Li, Hsuan-Chu
dc.creator (作者) 陳永秋
dc.creator (作者) Tan, Eng-Tjioe
dc.date (日期) 2008-10
dc.date.accessioned 25-Sep-2018 16:20:03 (UTC+8)-
dc.date.available 25-Sep-2018 16:20:03 (UTC+8)-
dc.date.issued (上傳時間) 25-Sep-2018 16:20:03 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/120120-
dc.description.abstract (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.en_US
dc.format.extent 189618 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Taiwanese Journal of Mathematics, Volume 12, Number 7, 1651-1666
dc.relation (關聯) AMS MathSciNet:MR2449654
dc.title (題名) On a special generalized Vandermonde matrix and its $LU$ factorization
dc.type (資料類型) article