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|Title:||On a special generalized Vandermonde matrix and its $LU$ factorization|
|Issue Date:||2018-09-25 16:20:03 (UTC+8)|
|Abstract:||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.|
|Relation:||Taiwanese Journal of Mathematics, Volume 12, Number 7, 1651-1666|
|Appears in Collections:||[應用數學系] 期刊論文|
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