On a special generalized Vandermonde matrix and its $LU$ factorization

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