Abstract
We consider a special class of the generalized Vandermonde matrices and obtain an LU factorization for its member 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 the closed-form formula of the inverse of the considered matrix.
Citation
Hsuan-Chu Li. Eng-Tjioe Tan. "ON A SPECIAL GENERALIZED VANDERMONDE MATRIX AND ITS LU FACTORIZATION." Taiwanese J. Math. 12 (7) 1651 - 1666, 2008. https://doi.org/10.11650/twjm/1500405077
Information